摘要
A new type of third\|order upwind finite volume implicit scheme is proposed for solving two/three\|dimensional Euler/Reynolds\|averaged Navier\|Stokes equations for steady flow. The fundamental form of the implicit scheme is based on the LU\|TVD finite volume scheme with the hybrid flux splitting technique. The third\|order ENN scheme's numerical flux is used to calculate the inviscid terms of Navier\|Stokes equations.A fourth\|order accurate symmetric compact difference is applied to its viscous terms. The Baldwin\|Lomax turbulence model is used to calculate the turbulent viscosity. Numerical experiments suggest that the proposed scheme not only has a fairly rapid convergence rate, but also can generate a highly resolved approximation to the numerical solution.
A new type of third\|order upwind finite volume implicit scheme is proposed for solving two/three\|dimensional Euler/Reynolds\|averaged Navier\|Stokes equations for steady flow. The fundamental form of the implicit scheme is based on the LU\|TVD finite volume scheme with the hybrid flux splitting technique. The third\|order ENN scheme's numerical flux is used to calculate the inviscid terms of Navier\|Stokes equations.A fourth\|order accurate symmetric compact difference is applied to its viscous terms. The Baldwin\|Lomax turbulence model is used to calculate the turbulent viscosity. Numerical experiments suggest that the proposed scheme not only has a fairly rapid convergence rate, but also can generate a highly resolved approximation to the numerical solution.
基金
SupportedbytheNationalNaturalScienceFoundationofChina!No .5 99760 15
195 72 0 3 8
