{"id":53197,"date":"2025-08-12T06:24:24","date_gmt":"2025-08-11T22:24:24","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/53197.html"},"modified":"2025-08-12T06:24:24","modified_gmt":"2025-08-11T22:24:24","slug":"%e6%b5%81%e4%bd%93%e5%8a%a8%e5%8a%9b%e5%ad%a6%e4%bb%bf%e7%9c%9f%e8%bd%af%e4%bb%b6%ef%bc%9asimscale-cfd_%ef%bc%887%ef%bc%89-%e6%b5%81%e5%9c%ba%e5%88%9d%e5%a7%8b%e5%8c%96%e4%b8%8e%e6%b1%82%e8%a7%a3","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/53197.html","title":{"rendered":"\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u8f6f\u4ef6\uff1aSimScale CFD_\uff087\uff09.\u6d41\u573a\u521d\u59cb\u5316\u4e0e\u6c42\u89e3\u7b56\u7565"},"content":{"rendered":"

\u6d41\u573a\u521d\u59cb\u5316\u4e0e\u6c42\u89e3\u7b56\u7565<\/h2>\n

\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u8f6f\u4ef6\u4e2d，\u6d41\u573a\u521d\u59cb\u5316\u548c\u6c42\u89e3\u7b56\u7565\u662f\u81f3\u5173\u91cd\u8981\u7684\u6b65\u9aa4\u3002\u6d41\u573a\u521d\u59cb\u5316\u662f\u6307\u5728\u4eff\u771f\u5f00\u59cb\u4e4b\u524d，\u5bf9\u8ba1\u7b97\u57df\u5185\u7684\u6d41\u4f53\u72b6\u6001\u8fdb\u884c\u8bbe\u7f6e，\u4ee5\u786e\u4fdd\u4eff\u771f\u80fd\u591f\u4ece\u4e00\u4e2a\u5408\u7406\u4e14\u7a33\u5b9a\u7684\u72b6\u6001\u5f00\u59cb\u3002\u6c42\u89e3\u7b56\u7565\u5219\u662f\u6307\u9009\u62e9\u5408\u9002\u7684\u6570\u503c\u65b9\u6cd5\u548c\u7b97\u6cd5\u6765\u6c42\u89e3\u6d41\u4f53\u52a8\u529b\u5b66\u65b9\u7a0b，\u4ece\u800c\u5f97\u5230\u51c6\u786e\u7684\u4eff\u771f\u7ed3\u679c\u3002\u672c\u8282\u5c06\u8be6\u7ec6\u63a2\u8ba8\u8fd9\u4e24\u4e2a\u65b9\u9762\u7684\u5185\u5bb9，\u5e76\u63d0\u4f9b\u5177\u4f53\u7684\u4ee3\u7801\u793a\u4f8b\u548c\u6570\u636e\u6837\u4f8b\u3002<\/p>\n

\u6d41\u573a\u521d\u59cb\u5316<\/h3>\n

\u521d\u59cb\u6761\u4ef6\u8bbe\u7f6e<\/h4>\n

\u521d\u59cb\u6761\u4ef6\u8bbe\u7f6e\u662f\u6d41\u573a\u521d\u59cb\u5316\u7684\u7b2c\u4e00\u6b65\u3002\u5728SimScale CFD\u4e2d，\u521d\u59cb\u6761\u4ef6\u901a\u5e38\u5305\u62ec\u6d41\u4f53\u7684\u901f\u5ea6\u3001\u538b\u529b\u3001\u6e29\u5ea6\u7b49\u7269\u7406\u91cf\u3002\u5408\u7406\u7684\u521d\u59cb\u6761\u4ef6\u8bbe\u7f6e\u53ef\u4ee5\u51cf\u5c11\u4eff\u771f\u65f6\u95f4，\u63d0\u9ad8\u4eff\u771f\u7a33\u5b9a\u6027，\u5e76\u4e14\u6709\u52a9\u4e8e\u5feb\u901f\u6536\u655b\u5230\u6b63\u786e\u7684\u89e3\u3002<\/p>\n

\u901f\u5ea6\u573a\u521d\u59cb\u5316<\/h5>\n

\u901f\u5ea6\u573a\u521d\u59cb\u5316\u662f\u6307\u5728\u4eff\u771f\u5f00\u59cb\u4e4b\u524d，\u5bf9\u8ba1\u7b97\u57df\u5185\u7684\u6d41\u4f53\u901f\u5ea6\u8fdb\u884c\u8bbe\u7f6e\u3002\u4f8b\u5982，\u5bf9\u4e8e\u4e00\u4e2a\u4e8c\u7ef4\u7ba1\u9053\u6d41\u95ee\u9898，\u53ef\u4ee5\u8bbe\u7f6e\u5165\u53e3\u7684\u521d\u59cb\u901f\u5ea6\u4e3a1 m\/s，\u51fa\u53e3\u7684\u521d\u59cb\u901f\u5ea6\u4e3a0 m\/s\u3002<\/p>\n

# \u8bbe\u7f6e\u521d\u59cb\u901f\u5ea6\u573a<\/span><\/p>\n

def<\/span> set_initial_velocity_field<\/span>(<\/span>simulation,<\/span> velocity)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u8bbe\u7f6e\u6a21\u62df\u7684\u521d\u59cb\u901f\u5ea6\u573a<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param velocity: \u521d\u59cb\u901f\u5ea6\u503c (m\/s)<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u8ba1\u7b97\u57df<\/span><\/p>\n

domain =<\/span> simulation.<\/span>get_domain(<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u5165\u53e3\u901f\u5ea6<\/span><\/p>\n

domain.<\/span>set_boundary_condition(<\/span>'inlet'<\/span>,<\/span> 'velocity'<\/span>,<\/span> velocity)<\/span><\/p>\n

# \u8bbe\u7f6e\u51fa\u53e3\u901f\u5ea6<\/span><\/p>\n

domain.<\/span>set_boundary_condition(<\/span>'outlet'<\/span>,<\/span> 'velocity'<\/span>,<\/span> 0<\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u8bbe\u7f6e\u7ba1\u9053\u6d41\u7684\u521d\u59cb\u901f\u5ea6\u573a<\/span><\/p>\n

simulation =<\/span> Simulation(<\/span>)<\/span> # \u5047\u8bbeSimulation\u662fSimScale CFD\u7684\u6a21\u62df\u5bf9\u8c61<\/span><\/p>\n

set_initial_velocity_field(<\/span>simulation,<\/span> 1<\/span>)<\/span><\/p>\n

\u538b\u529b\u573a\u521d\u59cb\u5316<\/h5>\n

\u538b\u529b\u573a\u521d\u59cb\u5316\u662f\u6307\u5728\u4eff\u771f\u5f00\u59cb\u4e4b\u524d，\u5bf9\u8ba1\u7b97\u57df\u5185\u7684\u6d41\u4f53\u538b\u529b\u8fdb\u884c\u8bbe\u7f6e\u3002\u4f8b\u5982，\u5bf9\u4e8e\u4e00\u4e2a\u4e0d\u53ef\u538b\u7f29\u6d41\u95ee\u9898，\u53ef\u4ee5\u8bbe\u7f6e\u5165\u53e3\u7684\u538b\u529b\u4e3a100000 Pa，\u51fa\u53e3\u7684\u538b\u529b\u4e3a101325 Pa\u3002<\/p>\n

# \u8bbe\u7f6e\u521d\u59cb\u538b\u529b\u573a<\/span><\/p>\n

def<\/span> set_initial_pressure_field<\/span>(<\/span>simulation,<\/span> pressure)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u8bbe\u7f6e\u6a21\u62df\u7684\u521d\u59cb\u538b\u529b\u573a<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param pressure: \u521d\u59cb\u538b\u529b\u503c (Pa)<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u8ba1\u7b97\u57df<\/span><\/p>\n

domain =<\/span> simulation.<\/span>get_domain(<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u5165\u53e3\u538b\u529b<\/span><\/p>\n

domain.<\/span>set_boundary_condition(<\/span>'inlet'<\/span>,<\/span> 'pressure'<\/span>,<\/span> pressure)<\/span><\/p>\n

# \u8bbe\u7f6e\u51fa\u53e3\u538b\u529b<\/span><\/p>\n

domain.<\/span>set_boundary_condition(<\/span>'outlet'<\/span>,<\/span> 'pressure'<\/span>,<\/span> 101325<\/span>)<\/span> # \u6807\u51c6\u5927\u6c14\u538b<\/span><\/p>\n

# \u793a\u4f8b：\u8bbe\u7f6e\u7ba1\u9053\u6d41\u7684\u521d\u59cb\u538b\u529b\u573a<\/span><\/p>\n

set_initial_pressure_field(<\/span>simulation,<\/span> 100000<\/span>)<\/span><\/p>\n

\u6e29\u5ea6\u573a\u521d\u59cb\u5316<\/h5>\n

\u6e29\u5ea6\u573a\u521d\u59cb\u5316\u662f\u6307\u5728\u4eff\u771f\u5f00\u59cb\u4e4b\u524d，\u5bf9\u8ba1\u7b97\u57df\u5185\u7684\u6d41\u4f53\u6e29\u5ea6\u8fdb\u884c\u8bbe\u7f6e\u3002\u4f8b\u5982，\u5bf9\u4e8e\u4e00\u4e2a\u81ea\u7136\u5bf9\u6d41\u95ee\u9898，\u53ef\u4ee5\u8bbe\u7f6e\u8ba1\u7b97\u57df\u5185\u7684\u521d\u59cb\u6e29\u5ea6\u4e3a300 K\u3002<\/p>\n

# \u8bbe\u7f6e\u521d\u59cb\u6e29\u5ea6\u573a<\/span><\/p>\n

def<\/span> set_initial_temperature_field<\/span>(<\/span>simulation,<\/span> temperature)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u8bbe\u7f6e\u6a21\u62df\u7684\u521d\u59cb\u6e29\u5ea6\u573a<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param temperature: \u521d\u59cb\u6e29\u5ea6\u503c (K)<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u8ba1\u7b97\u57df<\/span><\/p>\n

domain =<\/span> simulation.<\/span>get_domain(<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u8ba1\u7b97\u57df\u7684\u521d\u59cb\u6e29\u5ea6<\/span><\/p>\n

domain.<\/span>set_initial_condition(<\/span>'temperature'<\/span>,<\/span> temperature)<\/span><\/p>\n

# \u793a\u4f8b：\u8bbe\u7f6e\u81ea\u7136\u5bf9\u6d41\u95ee\u9898\u7684\u521d\u59cb\u6e29\u5ea6\u573a<\/span><\/p>\n

set_initial_temperature_field(<\/span>simulation,<\/span> 300<\/span>)<\/span><\/p>\n

\u521d\u59cb\u6761\u4ef6\u7684\u9a8c\u8bc1<\/h4>\n

\u521d\u59cb\u6761\u4ef6\u7684\u9a8c\u8bc1\u662f\u786e\u4fdd\u521d\u59cb\u5316\u6b63\u786e\u7684\u91cd\u8981\u6b65\u9aa4\u3002\u53ef\u4ee5\u901a\u8fc7\u53ef\u89c6\u5316\u5de5\u5177\u6216\u8ba1\u7b97\u8282\u70b9\u4e0a\u7684\u7269\u7406\u91cf\u6765\u9a8c\u8bc1\u521d\u59cb\u6761\u4ef6\u662f\u5426\u7b26\u5408\u9884\u671f\u3002<\/p>\n

# \u9a8c\u8bc1\u521d\u59cb\u6761\u4ef6<\/span><\/p>\n

def<\/span> verify_initial_conditions<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u9a8c\u8bc1\u6a21\u62df\u7684\u521d\u59cb\u6761\u4ef6<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u8ba1\u7b97\u57df<\/span><\/p>\n

domain =<\/span> simulation.<\/span>get_domain(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u5165\u53e3\u901f\u5ea6<\/span><\/p>\n

inlet_velocity =<\/span> domain.<\/span>get_boundary_condition(<\/span>'inlet'<\/span>,<\/span> 'velocity'<\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Inlet velocity: <\/span>{<\/span>inlet_velocity}<\/span><\/span> m\/s"<\/span><\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u51fa\u53e3\u901f\u5ea6<\/span><\/p>\n

outlet_velocity =<\/span> domain.<\/span>get_boundary_condition(<\/span>'outlet'<\/span>,<\/span> 'velocity'<\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Outlet velocity: <\/span>{<\/span>outlet_velocity}<\/span><\/span> m\/s"<\/span><\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u5165\u53e3\u538b\u529b<\/span><\/p>\n

inlet_pressure =<\/span> domain.<\/span>get_boundary_condition(<\/span>'inlet'<\/span>,<\/span> 'pressure'<\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Inlet pressure: <\/span>{<\/span>inlet_pressure}<\/span><\/span> Pa"<\/span><\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u51fa\u53e3\u538b\u529b<\/span><\/p>\n

outlet_pressure =<\/span> domain.<\/span>get_boundary_condition(<\/span>'outlet'<\/span>,<\/span> 'pressure'<\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Outlet pressure: <\/span>{<\/span>outlet_pressure}<\/span><\/span> Pa"<\/span><\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u8ba1\u7b97\u57df\u7684\u521d\u59cb\u6e29\u5ea6<\/span><\/p>\n

initial_temperature =<\/span> domain.<\/span>get_initial_condition(<\/span>'temperature'<\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Initial temperature: <\/span>{<\/span>initial_temperature}<\/span><\/span> K"<\/span><\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u9a8c\u8bc1\u7ba1\u9053\u6d41\u7684\u521d\u59cb\u6761\u4ef6<\/span><\/p>\n

verify_initial_conditions(<\/span>simulation)<\/span><\/p>\n

\u6c42\u89e3\u7b56\u7565<\/h3>\n

\u6570\u503c\u65b9\u6cd5\u9009\u62e9<\/h4>\n

\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u4e2d，\u9009\u62e9\u5408\u9002\u7684\u6570\u503c\u65b9\u6cd5\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002\u5e38\u89c1\u7684\u6570\u503c\u65b9\u6cd5\u5305\u62ec\u6709\u9650\u5dee\u5206\u6cd5（Finite Difference Method, FDM）\u3001\u6709\u9650\u4f53\u79ef\u6cd5（Finite Volume Method, FVM）\u548c\u6709\u9650\u5143\u6cd5（Finite Element Method, FEM）\u3002SimScale CFD\u4e3b\u8981\u4f7f\u7528\u6709\u9650\u4f53\u79ef\u6cd5（FVM）\u6765\u6c42\u89e3\u6d41\u4f53\u52a8\u529b\u5b66\u65b9\u7a0b\u3002<\/p>\n

\u6709\u9650\u4f53\u79ef\u6cd5（FVM）\u7b80\u4ecb<\/h5>\n

\u6709\u9650\u4f53\u79ef\u6cd5\u662f\u4e00\u79cd\u57fa\u4e8e\u63a7\u5236\u4f53\u7684\u6570\u503c\u65b9\u6cd5，\u901a\u8fc7\u5c06\u8ba1\u7b97\u57df\u5212\u5206\u4e3a\u591a\u4e2a\u63a7\u5236\u4f53（\u6216\u7f51\u683c\u5355\u5143），\u5e76\u5728\u6bcf\u4e2a\u63a7\u5236\u4f53\u4e0a\u5e94\u7528\u5b88\u6052\u5b9a\u5f8b\u6765\u6c42\u89e3\u6d41\u4f53\u52a8\u529b\u5b66\u65b9\u7a0b\u3002FVM\u7684\u4f18\u70b9\u662f\u80fd\u591f\u5f88\u597d\u5730\u5904\u7406\u590d\u6742\u51e0\u4f55\u5f62\u72b6\u548c\u8fb9\u754c\u6761\u4ef6\u3002<\/p>\n

\u6c42\u89e3\u5668\u8bbe\u7f6e<\/h4>\n

\u6c42\u89e3\u5668\u8bbe\u7f6e\u5305\u62ec\u9009\u62e9\u5408\u9002\u7684\u6c42\u89e3\u5668\u7c7b\u578b\u3001\u8bbe\u7f6e\u6c42\u89e3\u5668\u53c2\u6570\u7b49\u3002SimScale CFD\u63d0\u4f9b\u4e86\u591a\u79cd\u6c42\u89e3\u5668，\u5982\u7a33\u6001\u6c42\u89e3\u5668（Steady State Solver）\u548c\u77ac\u6001\u6c42\u89e3\u5668（Transient Solver）\u3002<\/p>\n

\u7a33\u6001\u6c42\u89e3\u5668\u8bbe\u7f6e<\/h5>\n

\u7a33\u6001\u6c42\u89e3\u5668\u9002\u7528\u4e8e\u6c42\u89e3\u4e0d\u968f\u65f6\u95f4\u53d8\u5316\u7684\u6d41\u4f53\u52a8\u529b\u5b66\u95ee\u9898\u3002\u4f8b\u5982，\u5bf9\u4e8e\u4e00\u4e2a\u7a33\u6001\u7ba1\u9053\u6d41\u95ee\u9898，\u53ef\u4ee5\u8bbe\u7f6e\u7a33\u6001\u6c42\u89e3\u5668\u5e76\u9009\u62e9\u5408\u9002\u7684\u6c42\u89e3\u7b97\u6cd5\u3002<\/p>\n

# \u8bbe\u7f6e\u7a33\u6001\u6c42\u89e3\u5668<\/span><\/p>\n

def<\/span> set_steady_state_solver<\/span>(<\/span>simulation,<\/span> solver_type=<\/span>'simple'<\/span>)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u8bbe\u7f6e\u7a33\u6001\u6c42\u89e3\u5668<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param solver_type: \u6c42\u89e3\u5668\u7c7b\u578b（\u9ed8\u8ba4\u4e3a'simple'）<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u6c42\u89e3\u5668\u7ba1\u7406\u5668<\/span><\/p>\n

solver_manager =<\/span> simulation.<\/span>get_solver_manager(<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u7a33\u6001\u6c42\u89e3\u5668<\/span><\/p>\n

solver_manager.<\/span>set_solver_type(<\/span>'steady'<\/span>)<\/span><\/p>\n

# \u9009\u62e9\u6c42\u89e3\u7b97\u6cd5<\/span><\/p>\n

solver_manager.<\/span>set_solver_algorithm(<\/span>solver_type)<\/span><\/p>\n

# \u793a\u4f8b：\u8bbe\u7f6e\u7a33\u6001\u6c42\u89e3\u5668<\/span><\/p>\n

set_steady_state_solver(<\/span>simulation)<\/span><\/p>\n

\u77ac\u6001\u6c42\u89e3\u5668\u8bbe\u7f6e<\/h5>\n

\u77ac\u6001\u6c42\u89e3\u5668\u9002\u7528\u4e8e\u6c42\u89e3\u968f\u65f6\u95f4\u53d8\u5316\u7684\u6d41\u4f53\u52a8\u529b\u5b66\u95ee\u9898\u3002\u4f8b\u5982，\u5bf9\u4e8e\u4e00\u4e2a\u77ac\u6001\u7ba1\u9053\u6d41\u95ee\u9898，\u53ef\u4ee5\u8bbe\u7f6e\u77ac\u6001\u6c42\u89e3\u5668\u5e76\u9009\u62e9\u5408\u9002\u7684\u6c42\u89e3\u7b97\u6cd5\u3002<\/p>\n

# \u8bbe\u7f6e\u77ac\u6001\u6c42\u89e3\u5668<\/span><\/p>\n

def<\/span> set_transient_solver<\/span>(<\/span>simulation,<\/span> solver_type=<\/span>'piso'<\/span>,<\/span> time_step=<\/span>0.01<\/span>,<\/span> total_time=<\/span>10.0<\/span>)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u8bbe\u7f6e\u77ac\u6001\u6c42\u89e3\u5668<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param solver_type: \u6c42\u89e3\u5668\u7c7b\u578b（\u9ed8\u8ba4\u4e3a'piso'）<\/p>\n

:param time_step: \u65f6\u95f4\u6b65\u957f (s)<\/p>\n

:param total_time: \u603b\u4eff\u771f\u65f6\u95f4 (s)<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u6c42\u89e3\u5668\u7ba1\u7406\u5668<\/span><\/p>\n

solver_manager =<\/span> simulation.<\/span>get_solver_manager(<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u77ac\u6001\u6c42\u89e3\u5668<\/span><\/p>\n

solver_manager.<\/span>set_solver_type(<\/span>'transient'<\/span>)<\/span><\/p>\n

# \u9009\u62e9\u6c42\u89e3\u7b97\u6cd5<\/span><\/p>\n

solver_manager.<\/span>set_solver_algorithm(<\/span>solver_type)<\/span><\/p>\n

# \u8bbe\u7f6e\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n

solver_manager.<\/span>set_time_step(<\/span>time_step)<\/span><\/p>\n

# \u8bbe\u7f6e\u603b\u4eff\u771f\u65f6\u95f4<\/span><\/p>\n

solver_manager.<\/span>set_total_time(<\/span>total_time)<\/span><\/p>\n

# \u793a\u4f8b：\u8bbe\u7f6e\u77ac\u6001\u6c42\u89e3\u5668<\/span><\/p>\n

set_transient_solver(<\/span>simulation,<\/span> time_step=<\/span>0.01<\/span>,<\/span> total_time=<\/span>10.0<\/span>)<\/span><\/p>\n

\u6c42\u89e3\u5668\u53c2\u6570\u4f18\u5316<\/h4>\n

\u6c42\u89e3\u5668\u53c2\u6570\u7684\u4f18\u5316\u53ef\u4ee5\u63d0\u9ad8\u4eff\u771f\u7684\u6548\u7387\u548c\u51c6\u786e\u6027\u3002\u5e38\u89c1\u7684\u53c2\u6570\u5305\u62ec\u7f51\u683c\u5212\u5206\u5927\u5c0f\u3001\u65f6\u95f4\u6b65\u957f\u3001\u6536\u655b\u51c6\u5219\u7b49\u3002<\/p>\n

\u7f51\u683c\u5212\u5206\u5927\u5c0f\u4f18\u5316<\/h5>\n

\u7f51\u683c\u5212\u5206\u5927\u5c0f\u7684\u9009\u62e9\u76f4\u63a5\u5f71\u54cd\u4eff\u771f\u7684\u8ba1\u7b97\u91cf\u548c\u51c6\u786e\u6027\u3002\u5bf9\u4e8e\u590d\u6742\u51e0\u4f55\u5f62\u72b6，\u53ef\u4ee5\u901a\u8fc7\u5c40\u90e8\u7ec6\u5316\u7f51\u683c\u6765\u63d0\u9ad8\u4eff\u771f\u7cbe\u5ea6\u3002<\/p>\n

# \u4f18\u5316\u7f51\u683c\u5212\u5206\u5927\u5c0f<\/span><\/p>\n

def<\/span> optimize_mesh<\/span>(<\/span>simulation,<\/span> global<\/span> cell_size=<\/span>0.1<\/span>,<\/span> refinement_regions=<\/span>None<\/span>)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u4f18\u5316\u7f51\u683c\u5212\u5206\u5927\u5c0f<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param global_cell_size: \u5168\u5c40\u5355\u5143\u5927\u5c0f (m)<\/p>\n

:param refinement_regions: \u9700\u8981\u5c40\u90e8\u7ec6\u5316\u7684\u533a\u57df（\u53ef\u9009）<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u7f51\u683c\u7ba1\u7406\u5668<\/span><\/p>\n

mesh_manager =<\/span> simulation.<\/span>get_mesh_manager(<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u5168\u5c40\u5355\u5143\u5927\u5c0f<\/span><\/p>\n

mesh_manager.<\/span>set_global_cell_size(<\/span>global_cell_size)<\/span><\/p>\n

# \u8bbe\u7f6e\u5c40\u90e8\u7ec6\u5316\u533a\u57df<\/span><\/p>\n

if<\/span> refinement_regions:<\/span><\/p>\n

for<\/span> region,<\/span> cell_size in<\/span> refinement_regions.<\/span>items(<\/span>)<\/span>:<\/span><\/p>\n

mesh_manager.<\/span>set_refinement_region(<\/span>region,<\/span> cell_size)<\/span><\/p>\n

# \u793a\u4f8b：\u4f18\u5316\u7ba1\u9053\u6d41\u7684\u7f51\u683c\u5212\u5206<\/span><\/p>\n

refinement_regions =<\/span> {<\/span>'inlet'<\/span>:<\/span> 0.05<\/span>,<\/span> 'outlet'<\/span>:<\/span> 0.05<\/span>}<\/span><\/p>\n

optimize_mesh(<\/span>simulation,<\/span> global_cell_size=<\/span>0.1<\/span>,<\/span> refinement_regions=<\/span>refinement_regions)<\/span><\/p>\n

\u65f6\u95f4\u6b65\u957f\u4f18\u5316<\/h5>\n

\u65f6\u95f4\u6b65\u957f\u7684\u9009\u62e9\u5bf9\u4e8e\u77ac\u6001\u4eff\u771f\u5c24\u4e3a\u91cd\u8981\u3002\u65f6\u95f4\u6b65\u957f\u8fc7\u5927\u4f1a\u5bfc\u81f4\u4eff\u771f\u7ed3\u679c\u4e0d\u7a33\u5b9a，\u800c\u65f6\u95f4\u6b65\u957f\u8fc7\u5c0f\u4f1a\u589e\u52a0\u8ba1\u7b97\u65f6\u95f4\u3002\u53ef\u4ee5\u901a\u8fc7\u8bd5\u9519\u6cd5\u6216\u7ecf\u9a8c\u516c\u5f0f\u6765\u9009\u62e9\u5408\u9002\u7684\u65f6\u95f4\u6b65\u957f\u3002<\/p>\n

# \u4f18\u5316\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n

def<\/span> optimize_time_step<\/span>(<\/span>simulation,<\/span> CFL_number=<\/span>0.5<\/span>)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u4f18\u5316\u65f6\u95f4\u6b65\u957f<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param CFL_number: CFL\u6570（\u9ed8\u8ba4\u4e3a0.5）<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u6d41\u573a\u53c2\u6570<\/span><\/p>\n

domain =<\/span> simulation.<\/span>get_domain(<\/span>)<\/span><\/p>\n

max_velocity =<\/span> domain.<\/span>get_max_velocity(<\/span>)<\/span><\/p>\n

global_cell_size =<\/span> domain.<\/span>get_global_cell_size(<\/span>)<\/span><\/p>\n

# \u8ba1\u7b97\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n

time_step =<\/span> CFL_number *<\/span> global_cell_size \/<\/span> max_velocity<\/p>\n

# \u8bbe\u7f6e\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n

solver_manager =<\/span> simulation.<\/span>get_solver_manager(<\/span>)<\/span><\/p>\n

solver_manager.<\/span>set_time_step(<\/span>time_step)<\/span><\/p>\n

# \u793a\u4f8b：\u4f18\u5316\u77ac\u6001\u7ba1\u9053\u6d41\u7684\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n

optimize_time_step(<\/span>simulation,<\/span> CFL_number=<\/span>0.5<\/span>)<\/span><\/p>\n

\u6536\u655b\u51c6\u5219\u8bbe\u7f6e<\/h5>\n

\u6536\u655b\u51c6\u5219\u662f\u5224\u65ad\u4eff\u771f\u7ed3\u679c\u662f\u5426\u7a33\u5b9a\u7684\u91cd\u8981\u4f9d\u636e\u3002\u53ef\u4ee5\u901a\u8fc7\u8bbe\u7f6e\u6b8b\u5dee\u9608\u503c\u6216\u7269\u7406\u91cf\u53d8\u5316\u7387\u6765\u786e\u5b9a\u6536\u655b\u6761\u4ef6\u3002<\/p>\n

# \u8bbe\u7f6e\u6536\u655b\u51c6\u5219<\/span><\/p>\n

def<\/span> set_convergence_criteria<\/span>(<\/span>simulation,<\/span> residual_threshold=<\/span>1e-6<\/span>,<\/span> max_iterations=<\/span>1000<\/span>)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u8bbe\u7f6e\u6536\u655b\u51c6\u5219<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param residual_threshold: \u6b8b\u5dee\u9608\u503c<\/p>\n

:param max_iterations: \u6700\u5927\u8fed\u4ee3\u6b21\u6570<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u6c42\u89e3\u5668\u7ba1\u7406\u5668<\/span><\/p>\n

solver_manager =<\/span> simulation.<\/span>get_solver_manager(<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u6b8b\u5dee\u9608\u503c<\/span><\/p>\n

solver_manager.<\/span>set_residual_threshold(<\/span>residual_threshold)<\/span><\/p>\n

# \u8bbe\u7f6e\u6700\u5927\u8fed\u4ee3\u6b21\u6570<\/span><\/p>\n

solver_manager.<\/span>set_max_iterations(<\/span>max_iterations)<\/span><\/p>\n

# \u793a\u4f8b：\u8bbe\u7f6e\u6536\u655b\u51c6\u5219<\/span><\/p>\n

set_convergence_criteria(<\/span>simulation,<\/span> residual_threshold=<\/span>1e-6<\/span>,<\/span> max_iterations=<\/span>1000<\/span>)<\/span><\/p>\n

\u6c42\u89e3\u8fc7\u7a0b\u76d1\u63a7<\/h4>\n

\u6c42\u89e3\u8fc7\u7a0b\u7684\u76d1\u63a7\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u53ca\u65f6\u53d1\u73b0\u4eff\u771f\u4e2d\u7684\u95ee\u9898\u5e76\u8fdb\u884c\u8c03\u6574\u3002\u5e38\u89c1\u7684\u76d1\u63a7\u65b9\u6cd5\u5305\u62ec\u7ed8\u5236\u6b8b\u5dee\u56fe\u3001\u68c0\u67e5\u7269\u7406\u91cf\u53d8\u5316\u7b49\u3002<\/p>\n

\u7ed8\u5236\u6b8b\u5dee\u56fe<\/h5>\n

\u6b8b\u5dee\u56fe\u53ef\u4ee5\u76f4\u89c2\u5730\u663e\u793a\u4eff\u771f\u8fc7\u7a0b\u4e2d\u65b9\u7a0b\u7684\u6536\u655b\u60c5\u51b5\u3002\u901a\u8fc7\u76d1\u63a7\u6b8b\u5dee\u56fe，\u53ef\u4ee5\u5224\u65ad\u4eff\u771f\u662f\u5426\u6536\u655b\u4ee5\u53ca\u4f55\u65f6\u6536\u655b\u3002<\/p>\n

# \u7ed8\u5236\u6b8b\u5dee\u56fe<\/span><\/p>\n

def<\/span> plot_residuals<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u7ed8\u5236\u4eff\u771f\u8fc7\u7a0b\u4e2d\u7684\u6b8b\u5dee\u56fe<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n

results =<\/span> simulation.<\/span>get_results(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u6b8b\u5dee\u6570\u636e<\/span><\/p>\n

residuals =<\/span> results.<\/span>get_residuals(<\/span>)<\/span><\/p>\n

# \u7ed8\u5236\u6b8b\u5dee\u56fe<\/span><\/p>\n

import<\/span> matplotlib.<\/span>pyplot as<\/span> plt<\/p>\n

plt.<\/span>plot(<\/span>residuals[<\/span>'time'<\/span>]<\/span>,<\/span> residuals[<\/span>'residual'<\/span>]<\/span>)<\/span><\/p>\n

plt.<\/span>xlabel(<\/span>'Time (s)'<\/span>)<\/span><\/p>\n

plt.<\/span>ylabel(<\/span>'Residual'<\/span>)<\/span><\/p>\n

plt.<\/span>title(<\/span>'Residuals over Time'<\/span>)<\/span><\/p>\n

plt.<\/span>show(<\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u7ed8\u5236\u77ac\u6001\u7ba1\u9053\u6d41\u7684\u6b8b\u5dee\u56fe<\/span><\/p>\n

plot_residuals(<\/span>simulation)<\/span><\/p>\n

\u68c0\u67e5\u7269\u7406\u91cf\u53d8\u5316<\/h5>\n

\u68c0\u67e5\u7269\u7406\u91cf\u7684\u53d8\u5316\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u9a8c\u8bc1\u4eff\u771f\u7ed3\u679c\u7684\u5408\u7406\u6027\u3002\u4f8b\u5982，\u53ef\u4ee5\u68c0\u67e5\u8ba1\u7b97\u57df\u5185\u7684\u901f\u5ea6\u3001\u538b\u529b\u548c\u6e29\u5ea6\u53d8\u5316\u3002<\/p>\n

# \u68c0\u67e5\u7269\u7406\u91cf\u53d8\u5316<\/span><\/p>\n

def<\/span> check_physical_quantities<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u68c0\u67e5\u4eff\u771f\u8fc7\u7a0b\u4e2d\u7684\u7269\u7406\u91cf\u53d8\u5316<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n

results =<\/span> simulation.<\/span>get_results(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u7269\u7406\u91cf\u6570\u636e<\/span><\/p>\n

velocities =<\/span> results.<\/span>get_velocity_field(<\/span>)<\/span><\/p>\n

pressures =<\/span> results.<\/span>get_pressure_field(<\/span>)<\/span><\/p>\n

temperatures =<\/span> results.<\/span>get_temperature_field(<\/span>)<\/span><\/p>\n

# \u6253\u5370\u7269\u7406\u91cf\u53d8\u5316<\/span><\/p>\n

print<\/span>(<\/span>f"Maximum velocity: <\/span>{<\/span>max<\/span>(<\/span>velocities)<\/span>}<\/span><\/span> m\/s"<\/span><\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Minimum velocity: <\/span>{<\/span>min<\/span>(<\/span>velocities)<\/span>}<\/span><\/span> m\/s"<\/span><\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Maximum pressure: <\/span>{<\/span>max<\/span>(<\/span>pressures)<\/span>}<\/span><\/span> Pa"<\/span><\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Minimum pressure: <\/span>{<\/span>min<\/span>(<\/span>pressures)<\/span>}<\/span><\/span> Pa"<\/span><\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Maximum temperature: <\/span>{<\/span>max<\/span>(<\/span>temperatures)<\/span>}<\/span><\/span> K"<\/span><\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Minimum temperature: <\/span>{<\/span>min<\/span>(<\/span>temperatures)<\/span>}<\/span><\/span> K"<\/span><\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u68c0\u67e5\u77ac\u6001\u7ba1\u9053\u6d41\u7684\u7269\u7406\u91cf\u53d8\u5316<\/span><\/p>\n

check_physical_quantities(<\/span>simulation)<\/span><\/p>\n

\u6c42\u89e3\u5668\u9009\u62e9\u793a\u4f8b<\/h4>\n

\u4ee5\u4e0b\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u793a\u4f8b，\u5c55\u793a\u4e86\u5982\u4f55\u9009\u62e9\u5408\u9002\u7684\u6c42\u89e3\u5668\u5e76\u8bbe\u7f6e\u76f8\u5173\u7684\u53c2\u6570\u3002<\/p>\n

# \u5b8c\u6574\u793a\u4f8b：\u9009\u62e9\u5408\u9002\u7684\u6c42\u89e3\u5668\u5e76\u8bbe\u7f6e\u53c2\u6570<\/span><\/p>\n

def<\/span> setup_simulation<\/span>(<\/span>simulation,<\/span> problem_type,<\/span> initial_velocity,<\/span> initial_pressure,<\/span> initial_temperature,<\/span> solver_type,<\/span> time_step,<\/span> total_time,<\/span> global_cell_size,<\/span> refinement_regions,<\/span> residual_threshold,<\/span> max_iterations)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u8bbe\u7f6e\u4eff\u771f<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param problem_type: \u95ee\u9898\u7c7b\u578b（'steady'\u6216'transient'）<\/p>\n

:param initial_velocity: \u521d\u59cb\u901f\u5ea6\u503c (m\/s)<\/p>\n

:param initial_pressure: \u521d\u59cb\u538b\u529b\u503c (Pa)<\/p>\n

:param initial_temperature: \u521d\u59cb\u6e29\u5ea6\u503c (K)<\/p>\n

:param solver_type: \u6c42\u89e3\u5668\u7c7b\u578b<\/p>\n

:param time_step: \u65f6\u95f4\u6b65\u957f (s)<\/p>\n

:param total_time: \u603b\u4eff\u771f\u65f6\u95f4 (s)<\/p>\n

:param global_cell_size: \u5168\u5c40\u5355\u5143\u5927\u5c0f (m)<\/p>\n

:param refinement_regions: \u9700\u8981\u5c40\u90e8\u7ec6\u5316\u7684\u533a\u57df（\u53ef\u9009）<\/p>\n

:param residual_threshold: \u6b8b\u5dee\u9608\u503c<\/p>\n

:param max_iterations: \u6700\u5927\u8fed\u4ee3\u6b21\u6570<\/p>\n

"""<\/span><\/p>\n

# \u8bbe\u7f6e\u521d\u59cb\u6761\u4ef6<\/span><\/p>\n

set_initial_velocity_field(<\/span>simulation,<\/span> initial_velocity)<\/span><\/p>\n

set_initial_pressure_field(<\/span>simulation,<\/span> initial_pressure)<\/span><\/p>\n

set_initial_temperature_field(<\/span>simulation,<\/span> initial_temperature)<\/span><\/p>\n

# \u8bbe\u7f6e\u6c42\u89e3\u5668<\/span><\/p>\n

if<\/span> problem_type ==<\/span> 'steady'<\/span>:<\/span><\/p>\n

set_steady_state_solver(<\/span>simulation,<\/span> solver_type)<\/span><\/p>\n

elif<\/span> problem_type ==<\/span> 'transient'<\/span>:<\/span><\/p>\n

set_transient_solver(<\/span>simulation,<\/span> solver_type,<\/span> time_step,<\/span> total_time)<\/span><\/p>\n

# \u4f18\u5316\u7f51\u683c\u5212\u5206<\/span><\/p>\n

optimize_mesh(<\/span>simulation,<\/span> global_cell_size,<\/span> refinement_regions)<\/span><\/p>\n

# \u8bbe\u7f6e\u6536\u655b\u51c6\u5219<\/span><\/p>\n

set_convergence_criteria(<\/span>simulation,<\/span> residual_threshold,<\/span> max_iterations)<\/span><\/p>\n

# \u793a\u4f8b：\u8bbe\u7f6e\u4e00\u4e2a\u77ac\u6001\u7ba1\u9053\u6d41\u4eff\u771f<\/span><\/p>\n

setup_simulation(<\/span><\/p>\n

simulation=<\/span>simulation,<\/span><\/p>\n

problem_type=<\/span>'transient'<\/span>,<\/span><\/p>\n

initial_velocity=<\/span>1<\/span>,<\/span><\/p>\n

initial_pressure=<\/span>100000<\/span>,<\/span><\/p>\n

initial_temperature=<\/span>300<\/span>,<\/span><\/p>\n

solver_type=<\/span>'piso'<\/span>,<\/span><\/p>\n

time_step=<\/span>0.01<\/span>,<\/span><\/p>\n

total_time=<\/span>10.0<\/span>,<\/span><\/p>\n

global_cell_size=<\/span>0.1<\/span>,<\/span><\/p>\n

refinement_regions=<\/span>{<\/span>'inlet'<\/span>:<\/span> 0.05<\/span>,<\/span> 'outlet'<\/span>:<\/span> 0.05<\/span>}<\/span>,<\/span><\/p>\n

residual_threshold=<\/span>1e-6<\/span>,<\/span><\/p>\n

max_iterations=<\/span>1000<\/span><\/p>\n

)<\/span><\/p>\n

\u6c42\u89e3\u8fc7\u7a0b\u4e2d\u7684\u95ee\u9898\u4e0e\u89e3\u51b3\u65b9\u6cd5<\/h4>\n

\u5728\u6c42\u89e3\u8fc7\u7a0b\u4e2d，\u53ef\u80fd\u4f1a\u9047\u5230\u5404\u79cd\u95ee\u9898，\u5982\u6570\u503c\u4e0d\u6536\u655b\u3001\u8ba1\u7b97\u65f6\u95f4\u8fc7\u957f\u7b49\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e38\u89c1\u95ee\u9898\u53ca\u5176\u89e3\u51b3\u65b9\u6cd5\u3002<\/p>\n

\u6570\u503c\u4e0d\u6536\u655b<\/h5>\n

\u6570\u503c\u4e0d\u6536\u655b\u901a\u5e38\u662f\u7531\u4e8e\u521d\u59cb\u6761\u4ef6\u8bbe\u7f6e\u4e0d\u5f53\u6216\u6c42\u89e3\u5668\u53c2\u6570\u9009\u62e9\u4e0d\u5408\u7406\u5bfc\u81f4\u7684\u3002\u53ef\u4ee5\u901a\u8fc7\u8c03\u6574\u521d\u59cb\u6761\u4ef6\u3001\u51cf\u5c0f\u65f6\u95f4\u6b65\u957f\u6216\u589e\u52a0\u7f51\u683c\u5212\u5206\u7cbe\u5ea6\u6765\u89e3\u51b3\u3002<\/p>\n

# \u89e3\u51b3\u6570\u503c\u4e0d\u6536\u655b\u95ee\u9898<\/span><\/p>\n

def<\/span> resolve_non_convergence<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u89e3\u51b3\u6570\u503c\u4e0d\u6536\u655b\u95ee\u9898<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u6c42\u89e3\u5668\u7ba1\u7406\u5668<\/span><\/p>\n

solver_manager =<\/span> simulation.<\/span>get_solver_manager(<\/span>)<\/span><\/p>\n

# \u68c0\u67e5\u6b8b\u5dee<\/span><\/p>\n

residuals =<\/span> solver_manager.<\/span>get_residuals(<\/span>)<\/span><\/p>\n

if<\/span> max<\/span>(<\/span>residuals)<\/span> ><\/span> 1e-6<\/span>:<\/span><\/p>\n

print<\/span>(<\/span>"Residuals are too high. Adjusting parameters…"<\/span>)<\/span><\/p>\n

# \u8c03\u6574\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n

current_time_step =<\/span> solver_manager.<\/span>get_time_step(<\/span>)<\/span><\/p>\n

solver_manager.<\/span>set_time_step(<\/span>current_time_step *<\/span> 0.5<\/span>)<\/span><\/p>\n

# \u589e\u52a0\u7f51\u683c\u5212\u5206\u7cbe\u5ea6<\/span><\/p>\n

current_global_cell_size =<\/span> simulation.<\/span>get_mesh_manager(<\/span>)<\/span>.<\/span>get_global_cell_size(<\/span>)<\/span><\/p>\n

simulation.<\/span>get_mesh_manager(<\/span>)<\/span>.<\/span>set_global_cell_size(<\/span>current_global_cell_size *<\/span> 0.5<\/span>)<\/span><\/p>\n

# \u91cd\u65b0\u8fd0\u884c\u4eff\u771f<\/span><\/p>\n

simulation.<\/span>run(<\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u89e3\u51b3\u6570\u503c\u4e0d\u6536\u655b\u95ee\u9898<\/span><\/p>\n

resolve_non_convergence(<\/span>simulation)<\/span><\/p>\n

\u8ba1\u7b97\u65f6\u95f4\u8fc7\u957f<\/h5>\n

\u8ba1\u7b97\u65f6\u95f4\u8fc7\u957f\u53ef\u80fd\u662f\u7531\u4e8e\u7f51\u683c\u5212\u5206\u8fc7\u7ec6\u6216\u6c42\u89e3\u5668\u7b97\u6cd5\u9009\u62e9\u4e0d\u5f53\u5bfc\u81f4\u7684\u3002\u53ef\u4ee5\u901a\u8fc7\u4f18\u5316\u7f51\u683c\u5212\u5206\u3001\u9009\u62e9\u66f4\u9ad8\u6548\u7684\u6c42\u89e3\u5668\u7b97\u6cd5\u6216\u5e76\u884c\u8ba1\u7b97\u6765\u89e3\u51b3\u3002<\/p>\n

# \u4f18\u5316\u8ba1\u7b97\u65f6\u95f4<\/span><\/p>\n

def<\/span> optimize_computation_time<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u4f18\u5316\u8ba1\u7b97\u65f6\u95f4<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u7f51\u683c\u7ba1\u7406\u5668<\/span><\/p>\n

mesh_manager =<\/span> simulation.<\/span>get_mesh_manager(<\/span>)<\/span><\/p>\n

# \u4f18\u5316\u7f51\u683c\u5212\u5206<\/span><\/p>\n

current_global_cell_size =<\/span> mesh_manager.<\/span>get_global_cell_size(<\/span>)<\/span><\/p>\n

mesh_manager.<\/span>set_global_cell_size(<\/span>current_global_cell_size *<\/span> 1.5<\/span>)<\/span><\/p>\n

# \u9009\u62e9\u66f4\u9ad8\u6548\u7684\u6c42\u89e3\u5668\u7b97\u6cd5<\/span><\/p>\n

solver_manager =<\/span> simulation.<\/span>get_solver_manager(<\/span>)<\/span><\/p>\n

solver_manager.<\/span>set_solver_algorithm(<\/span>'simplec'<\/span>)<\/span><\/p>\n

# \u8bbe\u7f6e\u5e76\u884c\u8ba1\u7b97<\/span><\/p>\n

solver_manager.<\/span>set_parallel_computation(<\/span>True<\/span>,<\/span> num_cores=<\/span>4<\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u4f18\u5316\u8ba1\u7b97\u65f6\u95f4<\/span><\/p>\n

optimize_computation_time(<\/span>simulation)<\/span><\/p>\n

\u6c42\u89e3\u7ed3\u679c\u7684\u540e\u5904\u7406<\/h4>\n

\u6c42\u89e3\u7ed3\u679c\u7684\u540e\u5904\u7406\u662f\u6307\u5728\u4eff\u771f\u5b8c\u6210\u540e，\u5bf9\u7ed3\u679c\u8fdb\u884c\u5206\u6790\u548c\u53ef\u89c6\u5316\u3002SimScale CFD\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u540e\u5904\u7406\u5de5\u5177，\u5982\u6d41\u7ebf\u56fe\u3001\u538b\u529b\u4e91\u56fe\u3001\u6e29\u5ea6\u4e91\u56fe\u7b49\u3002\u8fd9\u4e9b\u5de5\u5177\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u66f4\u597d\u5730\u7406\u89e3\u4eff\u771f\u7ed3\u679c，\u4ece\u800c\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u5206\u6790\u548c\u4f18\u5316\u3002<\/p>\n

\u6d41\u7ebf\u56fe\u751f\u6210<\/h5>\n

\u6d41\u7ebf\u56fe\u53ef\u4ee5\u76f4\u89c2\u5730\u663e\u793a\u6d41\u4f53\u7684\u6d41\u52a8\u8def\u5f84\u3002\u901a\u8fc7\u751f\u6210\u6d41\u7ebf\u56fe，\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u6d41\u573a\u7684\u5206\u5e03\u3002<\/p>\n

# \u751f\u6210\u6d41\u7ebf\u56fe<\/span><\/p>\n

def<\/span> generate_streamlines<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u751f\u6210\u6d41\u7ebf\u56fe<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n

results =<\/span> simulation.<\/span>get_results(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u901f\u5ea6\u573a\u6570\u636e<\/span><\/p>\n

velocity_field =<\/span> results.<\/span>get_velocity_field(<\/span>)<\/span><\/p>\n

# \u751f\u6210\u6d41\u7ebf\u56fe<\/span><\/p>\n

import<\/span> matplotlib.<\/span>pyplot as<\/span> plt<\/p>\n

import<\/span> numpy as<\/span> np<\/p>\n

# \u5047\u8bbe\u901f\u5ea6\u573a\u662f\u4e00\u4e2a\u4e8c\u7ef4\u6570\u7ec4<\/span><\/p>\n

x =<\/span> np.<\/span>linspace(<\/span>0<\/span>,<\/span> 10<\/span>,<\/span> 100<\/span>)<\/span><\/p>\n

y =<\/span> np.<\/span>linspace(<\/span>0<\/span>,<\/span> 10<\/span>,<\/span> 100<\/span>)<\/span><\/p>\n

u,<\/span> v =<\/span> velocity_field[<\/span>'u'<\/span>]<\/span>,<\/span> velocity_field[<\/span>'v'<\/span>]<\/span><\/p>\n

plt.<\/span>streamplot(<\/span>x,<\/span> y,<\/span> u,<\/span> v,<\/span> density=<\/span>2.0<\/span>,<\/span> color=<\/span>'b'<\/span>)<\/span><\/p>\n

plt.<\/span>xlabel(<\/span>'X-coordinate (m)'<\/span>)<\/span><\/p>\n

plt.<\/span>ylabel(<\/span>'Y-coordinate (m)'<\/span>)<\/span><\/p>\n

plt.<\/span>title(<\/span>'Streamlines of the Flow Field'<\/span>)<\/span><\/p>\n

plt.<\/span>show(<\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u751f\u6210\u6d41\u7ebf\u56fe<\/span><\/p>\n

generate_streamlines(<\/span>simulation)<\/span><\/p>\n

\u538b\u529b\u4e91\u56fe\u751f\u6210<\/h5>\n

\u538b\u529b\u4e91\u56fe\u53ef\u4ee5\u663e\u793a\u8ba1\u7b97\u57df\u5185\u7684\u538b\u529b\u5206\u5e03\u60c5\u51b5\u3002\u901a\u8fc7\u751f\u6210\u538b\u529b\u4e91\u56fe，\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u538b\u529b\u573a\u7684\u53d8\u5316\u3002<\/p>\n

# \u751f\u6210\u538b\u529b\u4e91\u56fe<\/span><\/p>\n

def<\/span> generate_pressure_contour<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u751f\u6210\u538b\u529b\u4e91\u56fe<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n

results =<\/span> simulation.<\/span>get_results(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u538b\u529b\u573a\u6570\u636e<\/span><\/p>\n

pressure_field =<\/span> results.<\/span>get_pressure_field(<\/span>)<\/span><\/p>\n

# \u751f\u6210\u538b\u529b\u4e91\u56fe<\/span><\/p>\n

import<\/span> matplotlib.<\/span>pyplot as<\/span> plt<\/p>\n

import<\/span> numpy as<\/span> np<\/p>\n

# \u5047\u8bbe\u538b\u529b\u573a\u662f\u4e00\u4e2a\u4e8c\u7ef4\u6570\u7ec4<\/span><\/p>\n

x =<\/span> np.<\/span>linspace(<\/span>0<\/span>,<\/span> 10<\/span>,<\/span> 100<\/span>)<\/span><\/p>\n

y =<\/span> np.<\/span>linspace(<\/span>0<\/span>,<\/span> 10<\/span>,<\/span> 100<\/span>)<\/span><\/p>\n

P =<\/span> pressure_field[<\/span>'P'<\/span>]<\/span><\/p>\n

plt.<\/span>contourf(<\/span>x,<\/span> y,<\/span> P,<\/span> levels=<\/span>100<\/span>,<\/span> cmap=<\/span>'viridis'<\/span>)<\/span><\/p>\n

plt.<\/span>colorbar(<\/span>label=<\/span>'Pressure (Pa)'<\/span>)<\/span><\/p>\n

plt.<\/span>xlabel(<\/span>'X-coordinate (m)'<\/span>)<\/span><\/p>\n

plt.<\/span>ylabel(<\/span>'Y-coordinate (m)'<\/span>)<\/span><\/p>\n

plt.<\/span>title(<\/span>'Pressure Contour of the Flow Field'<\/span>)<\/span><\/p>\n

plt.<\/span>show(<\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u751f\u6210\u538b\u529b\u4e91\u56fe<\/span><\/p>\n

generate_pressure_contour(<\/span>simulation)<\/span><\/p>\n

\u6e29\u5ea6\u4e91\u56fe\u751f\u6210<\/h5>\n

\u6e29\u5ea6\u4e91\u56fe\u53ef\u4ee5\u663e\u793a\u8ba1\u7b97\u57df\u5185\u7684\u6e29\u5ea6\u5206\u5e03\u60c5\u51b5\u3002\u901a\u8fc7\u751f\u6210\u6e29\u5ea6\u4e91\u56fe，\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u6e29\u5ea6\u573a\u7684\u53d8\u5316\u3002<\/p>\n

# \u751f\u6210\u6e29\u5ea6\u4e91\u56fe<\/span><\/p>\n

def<\/span> generate_temperature_contour<\/span>(<\/span>simulation)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u751f\u6210\u6e29\u5ea6\u4e91\u56fe<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n

results =<\/span> simulation.<\/span>get_results(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u6e29\u5ea6\u573a\u6570\u636e<\/span><\/p>\n

temperature_field =<\/span> results.<\/span>get_temperature_field(<\/span>)<\/span><\/p>\n

# \u751f\u6210\u6e29\u5ea6\u4e91\u56fe<\/span><\/p>\n

import<\/span> matplotlib.<\/span>pyplot as<\/span> plt<\/p>\n

import<\/span> numpy as<\/span> np<\/p>\n

# \u5047\u8bbe\u6e29\u5ea6\u573a\u662f\u4e00\u4e2a\u4e8c\u7ef4\u6570\u7ec4<\/span><\/p>\n

x =<\/span> np.<\/span>linspace(<\/span>0<\/span>,<\/span> 10<\/span>,<\/span> 100<\/span>)<\/span><\/p>\n

y =<\/span> np.<\/span>linspace(<\/span>0<\/span>,<\/span> 10<\/span>,<\/span> 100<\/span>)<\/span><\/p>\n

T =<\/span> temperature_field[<\/span>'T'<\/span>]<\/span><\/p>\n

plt.<\/span>contourf(<\/span>x,<\/span> y,<\/span> T,<\/span> levels=<\/span>100<\/span>,<\/span> cmap=<\/span>'plasma'<\/span>)<\/span><\/p>\n

plt.<\/span>colorbar(<\/span>label=<\/span>'Temperature (K)'<\/span>)<\/span><\/p>\n

plt.<\/span>xlabel(<\/span>'X-coordinate (m)'<\/span>)<\/span><\/p>\n

plt.<\/span>ylabel(<\/span>'Y-coordinate (m)'<\/span>)<\/span><\/p>\n

plt.<\/span>title(<\/span>'Temperature Contour of the Flow Field'<\/span>)<\/span><\/p>\n

plt.<\/span>show(<\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u751f\u6210\u6e29\u5ea6\u4e91\u56fe<\/span><\/p>\n

generate_temperature_contour(<\/span>simulation)<\/span><\/p>\n

\u540e\u5904\u7406\u7ed3\u679c\u7684\u5206\u6790<\/h4>\n

\u540e\u5904\u7406\u7ed3\u679c\u7684\u5206\u6790\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u9a8c\u8bc1\u4eff\u771f\u7ed3\u679c\u7684\u51c6\u786e\u6027\u548c\u5408\u7406\u6027\u3002\u53ef\u4ee5\u901a\u8fc7\u6bd4\u8f83\u4eff\u771f\u7ed3\u679c\u4e0e\u5b9e\u9a8c\u6570\u636e\u3001\u7406\u8bba\u6a21\u578b\u6216\u6587\u732e\u7ed3\u679c\u6765\u8bc4\u4f30\u4eff\u771f\u6548\u679c\u3002<\/p>\n

\u4e0e\u5b9e\u9a8c\u6570\u636e\u6bd4\u8f83<\/h5>\n

\u5c06\u4eff\u771f\u7ed3\u679c\u4e0e\u5b9e\u9a8c\u6570\u636e\u8fdb\u884c\u6bd4\u8f83\u662f\u9a8c\u8bc1\u4eff\u771f\u51c6\u786e\u6027\u7684\u5e38\u7528\u65b9\u6cd5\u3002\u4f8b\u5982，\u53ef\u4ee5\u6bd4\u8f83\u4eff\u771f\u5f97\u5230\u7684\u538b\u529b\u5206\u5e03\u4e0e\u5b9e\u9a8c\u6d4b\u91cf\u7684\u538b\u529b\u5206\u5e03\u3002<\/p>\n

# \u4e0e\u5b9e\u9a8c\u6570\u636e\u6bd4\u8f83<\/span><\/p>\n

def<\/span> compare_with_experiment<\/span>(<\/span>simulation,<\/span> experimental_data)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u4e0e\u5b9e\u9a8c\u6570\u636e\u6bd4\u8f83<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param experimental_data: \u5b9e\u9a8c\u6570\u636e<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n

results =<\/span> simulation.<\/span>get_results(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u538b\u529b\u573a\u6570\u636e<\/span><\/p>\n

pressure_field =<\/span> results.<\/span>get_pressure_field(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u5b9e\u9a8c\u538b\u529b\u6570\u636e<\/span><\/p>\n

experimental_pressure =<\/span> experimental_data[<\/span>'pressure'<\/span>]<\/span><\/p>\n

# \u8ba1\u7b97\u8bef\u5dee<\/span><\/p>\n

error =<\/span> np.<\/span>abs<\/span>(<\/span>pressure_field –<\/span> experimental_pressure)<\/span><\/p>\n

# \u6253\u5370\u8bef\u5dee<\/span><\/p>\n

print<\/span>(<\/span>f"Maximum error: <\/span>{<\/span>np.<\/span>max<\/span>(<\/span>error)<\/span>}<\/span><\/span> Pa"<\/span><\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Mean error: <\/span>{<\/span>np.<\/span>mean(<\/span>error)<\/span>}<\/span><\/span> Pa"<\/span><\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u4e0e\u5b9e\u9a8c\u6570\u636e\u6bd4\u8f83<\/span><\/p>\n

experimental_data =<\/span> {<\/span>'pressure'<\/span>:<\/span> np.<\/span>random.<\/span>rand(<\/span>100<\/span>,<\/span> 100<\/span>)<\/span> *<\/span> 100000<\/span>}<\/span> # \u5047\u8bbe\u5b9e\u9a8c\u6570\u636e\u662f\u4e00\u4e2a100×100\u7684\u4e8c\u7ef4\u6570\u7ec4<\/span><\/p>\n

compare_with_experiment(<\/span>simulation,<\/span> experimental_data)<\/span><\/p>\n

\u4e0e\u7406\u8bba\u6a21\u578b\u6bd4\u8f83<\/h5>\n

\u5c06\u4eff\u771f\u7ed3\u679c\u4e0e\u7406\u8bba\u6a21\u578b\u8fdb\u884c\u6bd4\u8f83\u662f\u9a8c\u8bc1\u4eff\u771f\u5408\u7406\u6027\u7684\u53e6\u4e00\u79cd\u65b9\u6cd5\u3002\u4f8b\u5982，\u53ef\u4ee5\u6bd4\u8f83\u4eff\u771f\u5f97\u5230\u7684\u901f\u5ea6\u5206\u5e03\u4e0e\u7406\u8bba\u6a21\u578b\u7684\u901f\u5ea6\u5206\u5e03\u3002<\/p>\n

# \u4e0e\u7406\u8bba\u6a21\u578b\u6bd4\u8f83<\/span><\/p>\n

def<\/span> compare_with_theory<\/span>(<\/span>simulation,<\/span> theoretical_model)<\/span>:<\/span><\/p>\n

"""<\/p>\n

\u4e0e\u7406\u8bba\u6a21\u578b\u6bd4\u8f83<\/p>\n

:param simulation: \u6a21\u62df\u5bf9\u8c61<\/p>\n

:param theoretical_model: \u7406\u8bba\u6a21\u578b<\/p>\n

"""<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n

results =<\/span> simulation.<\/span>get_results(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u4eff\u771f\u901f\u5ea6\u573a\u6570\u636e<\/span><\/p>\n

velocity_field =<\/span> results.<\/span>get_velocity_field(<\/span>)<\/span><\/p>\n

# \u83b7\u53d6\u7406\u8bba\u901f\u5ea6\u6570\u636e<\/span><\/p>\n

theoretical_velocity =<\/span> theoretical_model.<\/span>get_velocity_field(<\/span>)<\/span><\/p>\n

# \u8ba1\u7b97\u8bef\u5dee<\/span><\/p>\n

error =<\/span> np.<\/span>abs<\/span>(<\/span>velocity_field –<\/span> theoretical_velocity)<\/span><\/p>\n

# \u6253\u5370\u8bef\u5dee<\/span><\/p>\n

print<\/span>(<\/span>f"Maximum velocity error: <\/span>{<\/span>np.<\/span>max<\/span>(<\/span>error)<\/span>}<\/span><\/span> m\/s"<\/span><\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f"Mean velocity error: <\/span>{<\/span>np.<\/span>mean(<\/span>error)<\/span>}<\/span><\/span> m\/s"<\/span><\/span>)<\/span><\/p>\n

# \u793a\u4f8b：\u4e0e\u7406\u8bba\u6a21\u578b\u6bd4\u8f83<\/span><\/p>\n

theoretical_model =<\/span> TheoreticalModel(<\/span>)<\/span> # \u5047\u8bbeTheoreticalModel\u662f\u4e00\u4e2a\u7406\u8bba\u6a21\u578b\u5bf9\u8c61<\/span><\/p>\n

compare_with_theory(<\/span>simulation,<\/span> theoretical_model)<\/span><\/p>\n

\u603b\u7ed3<\/h4>\n

\u6d41\u573a\u521d\u59cb\u5316\u548c\u6c42\u89e3\u7b56\u7565\u662f\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u4e2d\u7684\u5173\u952e\u6b65\u9aa4\u3002\u5408\u7406\u7684\u521d\u59cb\u6761\u4ef6\u8bbe\u7f6e\u3001\u9009\u62e9\u5408\u9002\u7684\u6570\u503c\u65b9\u6cd5\u548c\u4f18\u5316\u6c42\u89e3\u5668\u53c2\u6570\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u4eff\u771f\u6548\u7387\u548c\u51c6\u786e\u6027\u3002\u901a\u8fc7\u540e\u5904\u7406\u5de5\u5177，\u6211\u4eec\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u4eff\u771f\u7ed3\u679c，\u5e76\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u5206\u6790\u548c\u4f18\u5316\u3002\u5e0c\u671b\u672c\u8282\u7684\u5185\u5bb9\u548c\u4ee3\u7801\u793a\u4f8b\u80fd\u591f\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u638c\u63e1\u8fd9\u4e9b\u6280\u5de7，\u4ece\u800c\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u4e2d\u53d6\u5f97\u66f4\u597d\u7684\u6548\u679c\u3002<\/p>\n

\u53c2\u8003\u6587\u732e<\/h4>\n
  • \n

    R. J. LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002.<\/p>\n<\/li>\n

  • \n

    J. H. Ferziger and M. Peri\u0107. Computational Methods for Fluid Dynamics. Springer, 2002.<\/p>\n<\/li>\n

  • \n

    SimScale Documentation. CFD Simulation Setup. https:\/\/www.simscale.com\/docs\/cfd-simulation-setup\/<\/p>\n<\/li>\n

    \u9644\u5f55<\/h4>\n

    \u5e38\u7528\u51fd\u6570\u8bf4\u660e<\/h5>\n
      \n
    • \n

      set_initial_velocity_field(simulation, velocity): \u8bbe\u7f6e\u8ba1\u7b97\u57df\u5185\u7684\u521d\u59cb\u901f\u5ea6\u573a\u3002<\/p>\n<\/li>\n

    • \n

      set_initial_pressure_field(simulation, pressure): \u8bbe\u7f6e\u8ba1\u7b97\u57df\u5185\u7684\u521d\u59cb\u538b\u529b\u573a\u3002<\/p>\n<\/li>\n

    • \n

      set_initial_temperature_field(simulation, temperature): \u8bbe\u7f6e\u8ba1\u7b97\u57df\u5185\u7684\u521d\u59cb\u6e29\u5ea6\u573a\u3002<\/p>\n<\/li>\n

    • \n

      verify_initial_conditions(simulation): \u9a8c\u8bc1\u521d\u59cb\u6761\u4ef6\u662f\u5426\u7b26\u5408\u9884\u671f\u3002<\/p>\n<\/li>\n

    • \n

      set_steady_state_solver(simulation, solver_type): \u8bbe\u7f6e\u7a33\u6001\u6c42\u89e3\u5668\u3002<\/p>\n<\/li>\n

    • \n

      set_transient_solver(simulation, solver_type, time_step, total_time): \u8bbe\u7f6e\u77ac\u6001\u6c42\u89e3\u5668\u3002<\/p>\n<\/li>\n

    • \n

      optimize_mesh(simulation, global_cell_size, refinement_regions): \u4f18\u5316\u7f51\u683c\u5212\u5206\u5927\u5c0f\u3002<\/p>\n<\/li>\n

    • \n

      optimize_time_step(simulation, CFL_number): \u4f18\u5316\u65f6\u95f4\u6b65\u957f\u3002<\/p>\n<\/li>\n

    • \n

      set_convergence_criteria(simulation, residual_threshold, max_iterations): \u8bbe\u7f6e\u6536\u655b\u51c6\u5219\u3002<\/p>\n<\/li>\n

    • \n

      resolve_non_convergence(simulation): \u89e3\u51b3\u6570\u503c\u4e0d\u6536\u655b\u95ee\u9898\u3002<\/p>\n<\/li>\n

    • \n

      optimize_computation_time(simulation): \u4f18\u5316\u8ba1\u7b97\u65f6\u95f4\u3002<\/p>\n<\/li>\n

    • \n

      generate_streamlines(simulation): \u751f\u6210\u6d41\u7ebf\u56fe\u3002<\/p>\n<\/li>\n

    • \n

      generate_pressure_contour(simulation): \u751f\u6210\u538b\u529b\u4e91\u56fe\u3002<\/p>\n<\/li>\n

    • \n

      generate_temperature_contour(simulation): \u751f\u6210\u6e29\u5ea6\u4e91\u56fe\u3002<\/p>\n<\/li>\n

    • \n

      compare_with_experiment(simulation, experimental_data): \u4e0e\u5b9e\u9a8c\u6570\u636e\u6bd4\u8f83\u3002<\/p>\n<\/li>\n

    • \n

      compare_with_theory(simulation, theoretical_model): \u4e0e\u7406\u8bba\u6a21\u578b\u6bd4\u8f83\u3002<\/p>\n<\/li>\n<\/ul>\n

      \u5e0c\u671b\u8fd9\u4e9b\u5185\u5bb9\u80fd\u591f\u5e2e\u52a9\u4f60\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u4e2d\u66f4\u52a0\u5f97\u5fc3\u5e94\u624b\u3002\u5982\u679c\u4f60\u6709\u4efb\u4f55\u7591\u95ee\u6216\u9700\u8981\u8fdb\u4e00\u6b65\u7684\u5e2e\u52a9，\u8bf7\u968f\u65f6\u67e5\u9605\u76f8\u5173\u6587\u732e\u6216\u8054\u7cfb\u6280\u672f\u652f\u6301\u3002<\/p>\n

      \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n","protected":false},"excerpt":{"rendered":"

      \u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb276\u6b21\uff0c\u70b9\u8d5e9\u6b21\uff0c\u6536\u85cf2\u6b21\u3002\u6709\u9650\u4f53\u79ef\u6cd5\u662f\u4e00\u79cd\u57fa\u4e8e\u63a7\u5236\u4f53\u7684\u6570\u503c\u65b9\u6cd5\uff0c\u901a\u8fc7\u5c06\u8ba1\u7b97\u57df\u5212\u5206\u4e3a\u591a\u4e2a\u63a7\u5236\u4f53\uff08\u6216\u7f51\u683c\u5355\u5143\uff09\uff0c\u5e76\u5728\u6bcf\u4e2a\u63a7\u5236\u4f53\u4e0a\u5e94\u7528\u5b88\u6052\u5b9a\u5f8b\u6765\u6c42\u89e3\u6d41\u4f53\u52a8\u529b\u5b66\u65b9\u7a0b\u3002FVM\u7684\u4f18\u70b9\u662f\u80fd\u591f\u5f88\u597d\u5730\u5904\u7406\u590d\u6742\u51e0\u4f55\u5f62\u72b6\u548c\u8fb9\u754c\u6761\u4ef6\u3002\u6d41\u573a\u521d\u59cb\u5316\u548c\u6c42\u89e3\u7b56\u7565\u662f\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u4e2d\u7684\u5173\u952e\u6b65\u9aa4\u3002\u5408\u7406\u7684\u521d\u59cb\u6761\u4ef6\u8bbe\u7f6e\u3001\u9009\u62e9\u5408\u9002\u7684\u6570\u503c\u65b9\u6cd5\u548c\u4f18\u5316\u6c42\u89e3\u5668\u53c2\u6570\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u4eff\u771f\u6548\u7387\u548c\u51c6\u786e\u6027\u3002\u901a\u8fc7\u540e\u5904\u7406\u5de5\u5177\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u4eff\u771f\u7ed3\u679c\uff0c\u5e76\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u5206\u6790\u548c\u4f18\u5316\u3002\u5e0c\u671b\u672c\u8282\u7684\u5185\u5bb9\u548c\u4ee3\u7801\u793a\u4f8b\u80fd\u591f\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u638c\u63e1\u8fd9\u4e9b\u6280\u5de7\uff0c\u4ece\u800c\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u4e2d\u53d6\u5f97\u66f4\u597d\u7684\u6548\u679c\u3002<\/p>\n","protected":false},"author":2,"featured_media":53196,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[81,190,5136],"topic":[],"class_list":["post-53197","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-python","tag-190","tag-5136"],"yoast_head":"\n\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u8f6f\u4ef6\uff1aSimScale CFD_\uff087\uff09.\u6d41\u573a\u521d\u59cb\u5316\u4e0e\u6c42\u89e3\u7b56\u7565 - 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