For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

Finite difference WENO schemes have established themselves as very worthy performers for
entire classes of applications that involve hyperbolic conservation laws. In this paper we …

High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …

Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

We introduce new Godunov-type semidiscrete central schemes for hyperbolic systems of
conservation laws and Hamilton--Jacobi equations. The schemes are based on the use of …

In recent years, high order numerical methods have been widely used in computational fluid
dynamics (CFD), to effectively resolve complex flow features using meshes which are …

In this paper, a new type of high-order finite difference and finite volume multi-resolution
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …

Solution of twoâ•’dimensional Riemann problems for gas dynamics without Riemann problem
solvers Page 1 Solution of Two-Dimensional Riemann Problems for Gas Dynamics without …

High-order accurate weighted essentially nonoscillatory (WENO) schemes have recently
been developed for finite difference and finite volume methods both in structured and in …