Quadratic-reconstruction finite volume scheme for compressible flows on unstructured adaptive grids

摘要

A second-order finite volume cell-centered technique for computing steady-state solutions of the full Euler and Navier-Stokes equations on unstructured meshes is presented. The scheme is designed such that its accuracy is Very weakly sensitive to grid distortions. An original quadratic reconstruction with a fixed stencil and a high- Order flux integration by the Gauss quadrature rule is employed to compute the advective term of the equations. Time evolution is presently performed with an explicit multistep Runge-Kutta scheme.