Sliding meshes are a powerful method to treat deformed domains in computational fluid dynamics, where different parts of the domain are in relative motion. In this paper, we …
A Veilleux, G Puigt, H Deniau, G Daviller - Journal of Scientific Computing, 2022 - Springer
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 …
A Veilleux, G Puigt, H Deniau, G Daviller - Journal of Computational …, 2022 - Elsevier
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 …
K Chen, C Liang - The Astrophysical Journal, 2022 - iopscience.iop.org
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 …
B Zhang, C Liang - Journal of Computational Physics, 2021 - Elsevier
We introduce two concepts in this work: polynomial mortar and transfinite mortar, and apply them to curved nonconforming sliding meshes. It is shown that, on curved meshes …
The particles on demand (PonD) method is a new kinetic theory model that allows for simulation of high speed compressible flows. While the standard lattice-Boltzmann method …
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 …
This thesis examines the extension of the Spectral Difference (SD) method on unstructured hybrid grids involving simplex cells (triangles, tetrahedra) and prismatic elements. The …
B Zhang, C Liang - AIAA Aviation 2019 Forum, 2019 - arc.aiaa.org
The energy harvesting performances of an isolated flapping wing and a tandem- flappingwing system are numerically studied using a high-order flux reconstruction method …