[HTML][HTML] High-order methods for diffuse-interface models in compressible multi-medium flows: A review
The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …
efficient and robust framework for the simulation of multi-species flows. They allow the …
[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] …
On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems
This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin
schemes with subcell finite volume limiters applied to a new class of first order hyperbolic …
schemes with subcell finite volume limiters applied to a new class of first order hyperbolic …
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian
(ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of …
(ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of …
Space–time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting
In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG)
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …
High order ADER schemes for continuum mechanics
In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers
This article aims at develo** a high order pressure-based solver for the solution of the 3D
compressible Navier-Stokes system at all Mach numbers. We propose a cell-centered …
compressible Navier-Stokes system at all Mach numbers. We propose a cell-centered …
[HTML][HTML] A well-balanced discontinuous Galerkin method for the first–order Z4 formulation of the Einstein–Euler system
In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element
scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein–Euler …
scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein–Euler …
High order semi-implicit schemes for viscous compressible flows in 3D
W Boscheri, M Tavelli - Applied Mathematics and Computation, 2022 - Elsevier
In this article we present a high order cell-centered numerical scheme in space and time for
the solution of the compressible Navier-Stokes equations. To deal with multiscale …
the solution of the compressible Navier-Stokes equations. To deal with multiscale …