We propose and analyze a numerical scheme for nonlinear degenerate parabolic
convection–diffusion–reaction equations in two or three space dimensions. We discretize …

Abstract We develop the Edge-Based Reconstruction WENO scheme for solving Euler
equations on unstructured meshes. It belongs to the class of edge-based schemes with …

One of the most desirable approximation property in compressible flow simulation is the
avoidance of superfluous numerical spurious diffusion. We propose to reach this goal on …

Method of averaged element splittings is proposed for the discretization of the diffusion
terms of the Navier–Stokes equations on mixed-element unstructured meshes. It is …

An hybrid mesh generation algorithm for two-dimensional viscous flows at high-Reynolds
number is presented. An advancing-front method is used close to solid surfaces and in the …

Exploring new variations of classical methods as well as recent approaches appearing in
the field, Computational Fluid Dynamics demonstrates the extensive use of numerical …

In this paper, 1-exact vertex-centered finite-volume schemes with an edge-based
approximation of fluxes are constructed for numerically solving hyperbolic problems on …

This paper considers a class of second-order accurate vertex centered mixed finite element
finite-volume MUSCL schemes. These schemes apply to unstructured triangulations and …

The scope of this paper is to propose an appropriate numerical strategy to extend the Mixed
Finite Element–Finite Volume (MEV) scheme to adapted meshes composed of both …

In this paper, the vertex-centered EBR schemes, originally developed for solving the Euler
and Navier–Stokes equations on unstructured tetrahedral meshes, are generalized to …