A high-precision finite element method for shock-tube calculations

摘要: A two-pass explicit scheme is developed in order to exploit some of the capabilities finite difference modeling (FDM) for element (FEM), which offers opportunity account any type geometry fluid flow modeling. Features first-order upwind and Lax-Wendroff high precision algorithms are reviewed. flux limiter FEM serve as an analog single function has been defined various FDMs. It shown that antidiffusive must be introduced into weighting normally multiplies time-derivative term variational equation. The results demonstrated equivalent FDMs with five-point support. However, present valid only one-dimensional calculations linear shape functions shock tube phenomena. Further work required its use nonlinear hyperbolic systems.