Arbitrary Lagrangian–Eulerian methods for modeling high-speed compressible multimaterial flows

AJ Barlow, PH Maire, WJ Rider, RN Rieben… - Journal of …, 2016 - Elsevier
This paper reviews recent developments in Arbitrary Lagrangian Eulerian (ALE) methods for
modeling high speed compressible multimaterial flows in complex geometry on general …

A cell-centered Lagrangian scheme for two-dimensional compressible flow problems

PH Maire, R Abgrall, J Breil, J Ovadia - SIAM Journal on Scientific Computing, 2007 - SIAM
We present a new Lagrangian cell-centered scheme for two-dimensional compressible
flows. The primary variables in this new scheme are cell-centered, ie, density, momentum …

High-order curvilinear finite element methods for Lagrangian hydrodynamics

VA Dobrev, TV Kolev, RN Rieben - SIAM Journal on Scientific Computing, 2012 - SIAM
The numerical approximation of the Euler equations of gas dynamics in a
movingLagrangian frame is at the heart of many multiphysics simulation algorithms. In this …

High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes

E Gaburro, W Boscheri, S Chiocchetti… - Journal of …, 2020 - Elsevier
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 …

A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes

PH Maire - Journal of Computational Physics, 2009 - Elsevier
We present a high-order cell-centered Lagrangian scheme for solving the two-dimensional
gas dynamics equations on unstructured meshes. A node-based discretization of the …

ReALE: a reconnection-based arbitrary-Lagrangian–Eulerian method

R Loubere, PH Maire, M Shashkov, J Breil… - Journal of Computational …, 2010 - Elsevier
We present a new reconnection-based arbitrary-Lagrangian–Eulerian (ALE) method. The
main elements in a standard ALE simulation are an explicit Lagrangian phase in which the …

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

S Galera, PH Maire, J Breil - Journal of Computational Physics, 2010 - Elsevier
We present a new cell-centered multi-material arbitrary Lagrangian–Eulerian (ALE) scheme
to solve the compressible gas dynamics equations on two-dimensional unstructured grid …

High-order multi-material ALE hydrodynamics

RW Anderson, VA Dobrev, TV Kolev, RN Rieben… - SIAM Journal on …, 2018 - SIAM
We present a new approach for multi-material arbitrary Lagrangian--Eulerian (ALE)
hydrodynamics simulations based on high-order finite elements posed on high-order …

A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension

G Carré, S Del Pino, B Després… - Journal of Computational …, 2009 - Elsevier
We describe a cell-centered Godunov scheme for Lagrangian gas dynamics on general
unstructured meshes in arbitrary dimension. The construction of the scheme is based upon …

A direct Arbitrary-Lagrangian–Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic …

W Boscheri, M Dumbser - Journal of Computational Physics, 2014 - Elsevier
In this paper we present a new family of high order accurate Arbitrary-Lagrangian–Eulerian
(ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of …