Scallop patterns forming on erodible surfaces were studied historically using a linear
analysis of the inner region of a turbulent boundary layer growing on a corrugated wall …

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

This paper reports a recent development of the high-order spectral difference method with
divergence cleaning (SDDC) for accurate simulations of both ideal and resistive …

The natural transition of hypersonic boundary layers (HBLs) is often expressed in terms of
discrete modes and their linear stability. A frequent interpretation revolves around fast and …

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 …

We consider the spectral difference method based on the p-th order Raviart~--Thomas
space (p= 1, 2, 3) on regular triangular meshes for the scalar transport equation. The …

Thermoacoustic instabilities can cause significant pressure oscillations and potentially lead
to the failure of combustion systems. These instabilities result from the interaction between …

This thesis focuses on the performance of the time integration of the CEDRE code on steady
problems. CEDRE is a software platform aimed at solving multi-fluid problems for industrial …

Spectral discontinuous methods such as Discontinuous Galerkin, Spectral Difference, or
Flux reconstructions methods are by nature not able to cope with any discontinuity without …