The proposed SUPG/PSPG stabilized FEM formulation for incompressible fluid flow simulation is extended to thermo-magnetically driven flows, and is used for the calculation of the direct and sensitivity thermal,fluid f...The proposed SUPG/PSPG stabilized FEM formulation for incompressible fluid flow simulation is extended to thermo-magnetically driven flows, and is used for the calculation of the direct and sensitivity thermal,fluid flow and electric potential fields. The method is demonstrated through the solution of an inverse problem with known results.展开更多
The Boussinesq approximation ,where the viscosity depends polynomially on the shear rate ,finds more and more frequent use in geological practice,In this paper ,we consider the periodic initial value problem and inita...The Boussinesq approximation ,where the viscosity depends polynomially on the shear rate ,finds more and more frequent use in geological practice,In this paper ,we consider the periodic initial value problem and inital value problem for this modified Boussinesq approximation with the viscous part of the stress tensor T^v=τ(e)-μ1△e,where the nonlinear function τ(e) satisfies τij(e)eij≥C|e|^p or τij(e)eij ≥C(|e|^2+|e|^p).The existence,uniqueness and regulartiy of the weak solution is proved for p> 2n/(n+2).展开更多
基金Sponsored by the Heilongjiang Provincial Natural Science Foundation(Grant No. F0215)Heilongjiang Provincial Science Foundation for Youth (Grant No. QC03C03)
文摘The proposed SUPG/PSPG stabilized FEM formulation for incompressible fluid flow simulation is extended to thermo-magnetically driven flows, and is used for the calculation of the direct and sensitivity thermal,fluid flow and electric potential fields. The method is demonstrated through the solution of an inverse problem with known results.
文摘The Boussinesq approximation ,where the viscosity depends polynomially on the shear rate ,finds more and more frequent use in geological practice,In this paper ,we consider the periodic initial value problem and inital value problem for this modified Boussinesq approximation with the viscous part of the stress tensor T^v=τ(e)-μ1△e,where the nonlinear function τ(e) satisfies τij(e)eij≥C|e|^p or τij(e)eij ≥C(|e|^2+|e|^p).The existence,uniqueness and regulartiy of the weak solution is proved for p> 2n/(n+2).
