This paper discusses a fictitious domain method for the linear Dirichlet problem and its applications to the generalized Stokes problem. This method treats Dirichlet boundary condit ion via a Lagrange multiplier tec...This paper discusses a fictitious domain method for the linear Dirichlet problem and its applications to the generalized Stokes problem. This method treats Dirichlet boundary condit ion via a Lagrange multiplier technique and is well suited to the no-slip bound ary condition in viscous flow problems. In order to improve the accuracy of solu tions, meshes are refined according to the a posteriori error estimate. The mini -element discretization is applied to solve the generalized Stokes problem. Fin ally, some numerical results to validate this method are presented for partial d ifferential equations with Dirichlet boundary condition.展开更多
Introduction Computation of compressible Navier-Stokes equations have been the subject of quite intensive efforts these last years. One of the main motivation of this fact is the computer designof advanced aircrafts, ...Introduction Computation of compressible Navier-Stokes equations have been the subject of quite intensive efforts these last years. One of the main motivation of this fact is the computer designof advanced aircrafts, space vchicles and turbomachinery. However, solving the compressiblc Navier-Stokes equations are the most difficult task. It needs high speed and large space computer, suppercomputer.展开更多
文摘This paper discusses a fictitious domain method for the linear Dirichlet problem and its applications to the generalized Stokes problem. This method treats Dirichlet boundary condit ion via a Lagrange multiplier technique and is well suited to the no-slip bound ary condition in viscous flow problems. In order to improve the accuracy of solu tions, meshes are refined according to the a posteriori error estimate. The mini -element discretization is applied to solve the generalized Stokes problem. Fin ally, some numerical results to validate this method are presented for partial d ifferential equations with Dirichlet boundary condition.
文摘Introduction Computation of compressible Navier-Stokes equations have been the subject of quite intensive efforts these last years. One of the main motivation of this fact is the computer designof advanced aircrafts, space vchicles and turbomachinery. However, solving the compressiblc Navier-Stokes equations are the most difficult task. It needs high speed and large space computer, suppercomputer.
