Numerical methods for high-speed flows

S Pirozzoli - Annual review of fluid mechanics, 2011 - annualreviews.org
We review numerical methods for direct numerical simulation (DNS) and large-eddy
simulation (LES) of turbulent compressible flow in the presence of shock waves. Ideal …

High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

CW Shu - Journal of Computational Physics, 2016 - Elsevier
For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

[HTML][HTML] 航空航天CFD 物理模型和计算方法的述评与挑战

阎超, 屈峰, 赵雅甜, 于剑, 武从海, 张树海 - 空气动力学学报, 2020 - html.rhhz.net
CFD (computational fluid dynamics) 在航空航天中的应用发展迅速, 成效斐然,
成为飞行器研制和空气动力学研究的重要手段. 但另一方面, CFD 在物理模型和计算方法等核心 …

A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws

M Dumbser, O Zanotti, R Loubère, S Diot - Journal of Computational …, 2014 - Elsevier
The purpose of this work is to propose a novel a posteriori finite volume subcell limiter
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …

The PLUTO code for adaptive mesh computations in astrophysical fluid dynamics

A Mignone, C Zanni, P Tzeferacos… - The Astrophysical …, 2011 - iopscience.iop.org
We present a description of the adaptive mesh refinement (AMR) implementation of the
PLUTO code for solving the equations of classical and special relativistic …

[HTML][HTML] UCNS3D: An open-source high-order finite-volume unstructured CFD solver

AF Antoniadis, D Drikakis, PS Farmakis, L Fu… - Computer Physics …, 2022 - Elsevier
UCNS3D is an open-source computational solver for compressible flows on unstructured
meshes. State-of-the-art high-order methods and their associated benefits can now be …

[PDF][PDF] The meshless local Petrov-Galerkin (MLPG) method: a simple & less-costly alternative to the finite element and boundary element methods

S Shen - Computer Modeling in Engineering & Sciences, 2002 - cdn.techscience.cn
A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

[HTML][HTML] High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids

M Dumbser, I Peshkov, E Romenski… - Journal of Computational …, 2016 - Elsevier
This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems

M Dumbser, DS Balsara - Journal of Computational Physics, 2016 - Elsevier
In this paper a new, simple and universal formulation of the HLLEM Riemann solver (RS) is
proposed that works for general conservative and non-conservative systems of hyperbolic …

A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems

M Dumbser, EF Toro - Journal of Scientific Computing, 2011 - Springer
We propose a simple extension of the well-known Riemann solver of Osher and Solomon
(Math. Comput. 38: 339–374, 1982) to a certain class of hyperbolic systems in non …