Smoothed particle hydrodynamics: Methodology development and recent achievement
Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH)
has experienced a tremendous enhancement in methodology and impacted a range of multi …
has experienced a tremendous enhancement in methodology and impacted a range of multi …
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 …
simulation (LES) of turbulent compressible flow in the presence of shock waves. Ideal …
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 …
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …
High order weighted essentially nonoscillatory schemes for convection dominated problems
CW Shu - SIAM review, 2009 - SIAM
High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
Essentially non-oscillatory and weighted essentially non-oscillatory schemes
CW Shu - Acta Numerica, 2020 - cambridge.org
Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
In this article, a conservative least-squares polynomial reconstruction operator is applied to
the discontinuous Galerkin method. In a first instance, piecewise polynomials of degree N …
the discontinuous Galerkin method. In a first instance, piecewise polynomials of degree N …
[HTML][HTML] UCNS3D: An open-source high-order finite-volume unstructured CFD solver
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 …
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 …
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
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] …
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …
A new 3D parallel SPH scheme for free surface flows
We propose a new robust and accurate SPH scheme, able to track correctly complex three-
dimensional non-hydrostatic free surface flows and, even more important, also able to …
dimensional non-hydrostatic free surface flows and, even more important, also able to …