Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Total-variation-diminishing time discretizations
SIAM Journal on Scientific and Statistical Computing
A finite-volume high-order ENO scheme for two-dimensional hyperbolic systems
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Weighted essentially non-oscillatory schemes on triangular meshes
Journal of Computational Physics
Journal of Computational Physics
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing
Numerical Comparison of WENO Finite Volume and Runge–Kutta Discontinuous Galerkin Methods
Journal of Scientific Computing
A technique of treating negative weights in WENO schemes
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An adaptive local deconvolution method for implicit LES
Journal of Computational Physics
MUSTA Fluxes for systems of conservation laws
Journal of Computational Physics
Implementation of WENO schemes in compressible multicomponent flow problems
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics
Journal of Computational Physics
High-order conservative finite difference GLM-MHD schemes for cell-centered MHD
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
Large eddy simulation using a new set of sixth order schemes for compressible viscous terms
Journal of Computational Physics
WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions
Journal of Computational Physics
Approximation error of the Lagrange reconstructing polynomial
Journal of Approximation Theory
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
SIAM Journal on Scientific Computing
Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics
Journal of Computational Physics
Journal of Computational Physics
Numerical Modeling of Degenerate Equations in Porous Media Flow
Journal of Scientific Computing
A diffuse interface model with immiscibility preservation
Journal of Computational Physics
Hi-index | 31.52 |
In this paper we firstly carry out an extension of the finite-volume WENO schemes to three space dimensions and higher orders of accuracy. Secondly, we propose to use more accurate fluxes as the building block. These are the HLLC and MUSTA fluxes [Multi-stage predictor-corrector fluxes for hyperbolic equations, 2003; Restoration of the contact surface in the HLL Riemann solver, Report CoA 9204, June 1992: J. Shock Waves 4 (1994) 25]. The numerical results suggest that the new WENO-HLLC and WENO-MUSTA schemes compare satisfactorily with the state-of-the-art finite-volume scheme of Shi et al. [J. Comput. Phys. 175 (2002) 108].