Large-particle (FLIC) method, presented in 1960’s, is a numerical method that be applied to solve unsteady flow. The computational scheme consists of two steps for each timemarch step: First, intermediate values are calculated for the velocities and energy, takinginto account the effects of acceleration caused by pressure gradients; Second transport effects are calculated. In this paper, we present a high resolution large-particle finite volumemethod for 2-D unstructured triangular mesh, the key idea of this method is monotonereconstruction of flow variables and solve "Riemann" problem in the first step. Finallythe result of the computation is
A new finite volume scheme, based on first order monotone scheme and limited linear reconstruction, is constructed for scalar hyperbolic conservation laws in two dimension,the scheme satisfies the maximum principle and approximation the flux with second order accuracy. Numerical results for constant coefficient linear advection and Burgers’equation are presented.
In this paper, we present a simplified third-order weighted ENO finite volume method on unstructured triangular mesh. The third-order TVD Runge-Kutta time diswcretization is used. A weighted quadratic reconstruction is constructed on every triangular mesh. Preliminary encouraging numerical experiment is given.
