In this paper, the Spectral Difference approach using Raviart-Thomas elements (SDRT) is
formulated for the first time on tetrahedral grids. To determine stable formulations, a Fourier …

In the present paper, a stable Spectral Difference formulation on triangles is defined using a
flux polynomial expressed in the Raviart-Thomas basis up to the sixth-order of accuracy …

A theoretical stability estimate is presented for the Raviart–Thomas Spectral Difference
scheme for triangular and tetrahedral meshes. It reveals the difficulty of guaranteeing the …

An artificial viscosity-based shock capturing scheme is extended to the context of high-order
triangular Spectral Difference method for solving gas dynamics problems featuring …

A Spectral Difference (SD) algorithm on tensor-product elements which solves the reacting
compressible Navier-Stokes equations (NSE) is presented. The classical SD algorithm is …

The purpose of this work is to describe in detail the development of the spectral difference
Raviart–Thomas (SDRT) formulation for two and three-dimensional tensor-product elements …

This thesis examines the extension of the Spectral Difference (SD) method on unstructured
hybrid grids involving simplex cells (triangles, tetrahedra) and prismatic elements. The …

High-order spectral difference gas-kinetic schemes (SDGKS) are developed for inviscid and
viscous flows on unstructured quadrilateral meshes. Rather than the traditional Riemann …