Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics
Journal of Computational Physics
Wave propagation algorithms for multidimensional hyperbolic systems
Journal of Computational Physics
Multidimensional upwinding. Part II. Decomposition of the Euler equations into advection equations
Journal of Computational Physics
Evolution Galerkin methods for hyperbolic systems in two space dimensions
Mathematics of Computation
Finite volume evolution Galerkin methods for nonlinear hyperbolic systems
Journal of Computational Physics
A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
Journal of Computational Physics
Finite Volume Evolution Galerkin Methods for Hyperbolic Systems
SIAM Journal on Scientific Computing
On the Stability of Evolution Galerkin Schemes Applied to a Two-Dimensional Wave Equation System
SIAM Journal on Numerical Analysis
Well-balanced finite volume evolution Galerkin methods for the shallow water equations
Journal of Computational Physics
A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
Large Time Step Finite Volume Evolution Galerkin Methods
Journal of Scientific Computing
Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics
Journal of Computational Physics
Hi-index | 31.45 |
This paper presents a finite volume local evolution Galerkin (FVLEG) scheme for solving the hyperbolic conservation laws. The FVLEG scheme is the simplification of the finite volume evolution Galerkin method (FVEG). In FVEG, a necessary step is to compute the dependent variables at cell interfaces at t"n+@t (00 in the evolution operators of FVEG. The FVLEG scheme greatly simplifies the evaluation of the numerical fluxes. It is also well suited with the semi-discrete finite volume method, making the flux evaluation being decoupled with the reconstruction procedure while maintaining the genuine multi-dimensional nature of the FVEG methods. The derivation of the FVLEG scheme is presented in detail. The performance of the proposed scheme is studied by solving several test cases. It is shown that FVLEG scheme can obtain very satisfactory numerical results in terms of accuracy and resolution.