In this paper,a new algorithm for solving Euler equations is developed and validated on polyhedral grids. A general solver which supports arbitrary mesh topology and three-dimensional complex geometry is constructed by using Fortran95 language.For spatial discretization,a new improved radial basis function method is proposed for gradient calculation.An accurate and robust second-order reconstruction is achieved by using Kinetic Flux Vector Splitting scheme.The new method does not depend on the geometry of grid.Thus it is much less sensitive to the grid quality.With a point implicit relaxation time marching strategy,the solver remains stable at large time step.The test cases indicate that the algorithm and the solver developed in this paper are stable,accurate while exhibit good flexibility on mesh universality.
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