A high order accurate finite difference scheme (UCGVC) for solving the Euler equations is described in this paper. The flux vectors in Euler equations are split by using Sieger-Warming’s flux vectors splitting techni...A high order accurate finite difference scheme (UCGVC) for solving the Euler equations is described in this paper. The flux vectors in Euler equations are split by using Sieger-Warming’s flux vectors splitting technique[1]. The flux vectors are approxunated by using upwind compact scheme[2]. In order to preyed the nonphysical oscillations in the vicinity of the shock the group velocity control method is used.展开更多
The difference scheme for Navier-Stokes equations based on a third order up- wind compact scheme[1] is considered. To investigate this scheme, the viscous Burgers’ equation is used. For the inviscid portion of the Na...The difference scheme for Navier-Stokes equations based on a third order up- wind compact scheme[1] is considered. To investigate this scheme, the viscous Burgers’ equation is used. For the inviscid portion of the Navier-Stokes equa- tions the flux vectors are split by using Steger-Warming’s flux vectors splitting technique[2].The flux vectors are approximated by using upwind compact scheme. Second order accurate difference approximation is used for the viscous portion. Obtained difference scheme is used to solve the heat transfer problems.展开更多
文摘A high order accurate finite difference scheme (UCGVC) for solving the Euler equations is described in this paper. The flux vectors in Euler equations are split by using Sieger-Warming’s flux vectors splitting technique[1]. The flux vectors are approxunated by using upwind compact scheme[2]. In order to preyed the nonphysical oscillations in the vicinity of the shock the group velocity control method is used.
文摘The difference scheme for Navier-Stokes equations based on a third order up- wind compact scheme[1] is considered. To investigate this scheme, the viscous Burgers’ equation is used. For the inviscid portion of the Navier-Stokes equa- tions the flux vectors are split by using Steger-Warming’s flux vectors splitting technique[2].The flux vectors are approximated by using upwind compact scheme. Second order accurate difference approximation is used for the viscous portion. Obtained difference scheme is used to solve the heat transfer problems.