In this paper,we propose a multiphysics finite element method for a nonlinear poroelasticity model with nonlinear stress-strain relation.Firstly,we reformulate the original problem into a new coupled fluid system-a ge...In this paper,we propose a multiphysics finite element method for a nonlinear poroelasticity model with nonlinear stress-strain relation.Firstly,we reformulate the original problem into a new coupled fluid system-a generalized nonlinear Stokes problem of displacement vector field related to pseudo pressure and a diffusion problem of other pseudo pressure fields.Secondly,a fully discrete multiphysics finite element method is performed to solve the reformulated system numerically.Thirdly,existence and uniqueness of the weak solution of the reformulated model and stability analysis and optimal convergence order for the multiphysics finite element method are proven theoretically.Lastly,numerical tests are given to verify the theoretical results.展开更多
为340 GHz返波振荡器设计了输能窗,并对其进行了设计分析及仿真模拟计算。计算结果表明,该窗在327 GHz^347 GHz频段内的反射系数优于30 d B。对窗片进行金属化,焊接输能窗,封接出气密性良好的输能窗,对输能窗进行测试。测试结果表明,该...为340 GHz返波振荡器设计了输能窗,并对其进行了设计分析及仿真模拟计算。计算结果表明,该窗在327 GHz^347 GHz频段内的反射系数优于30 d B。对窗片进行金属化,焊接输能窗,封接出气密性良好的输能窗,对输能窗进行测试。测试结果表明,该窗在333 GHz^367 GHz频段内反射系数优于10 d B,其中,在336 GHz^344 GHz频段内优于15 d B,传输损耗7 d B左右。对模拟结果与实测结果的偏差进行了分析,为进一步优化输能窗奠定基础。展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.12371393,11971150 and 11801143)Natural Science Foundation of Henan Province(Grant No.242300421047).
文摘In this paper,we propose a multiphysics finite element method for a nonlinear poroelasticity model with nonlinear stress-strain relation.Firstly,we reformulate the original problem into a new coupled fluid system-a generalized nonlinear Stokes problem of displacement vector field related to pseudo pressure and a diffusion problem of other pseudo pressure fields.Secondly,a fully discrete multiphysics finite element method is performed to solve the reformulated system numerically.Thirdly,existence and uniqueness of the weak solution of the reformulated model and stability analysis and optimal convergence order for the multiphysics finite element method are proven theoretically.Lastly,numerical tests are given to verify the theoretical results.
文摘为340 GHz返波振荡器设计了输能窗,并对其进行了设计分析及仿真模拟计算。计算结果表明,该窗在327 GHz^347 GHz频段内的反射系数优于30 d B。对窗片进行金属化,焊接输能窗,封接出气密性良好的输能窗,对输能窗进行测试。测试结果表明,该窗在333 GHz^367 GHz频段内反射系数优于10 d B,其中,在336 GHz^344 GHz频段内优于15 d B,传输损耗7 d B左右。对模拟结果与实测结果的偏差进行了分析,为进一步优化输能窗奠定基础。
