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 …

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 …

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 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 …

[HTML][HTML] Arbitrary-Lagrangian–Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes

W Boscheri, M Dumbser - Journal of Computational Physics, 2017 - Elsevier
We present a new family of high order accurate fully discrete one-step Discontinuous
Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of …

High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation

R Anderson, V Dobrev, T Kolev, D Kuzmin… - Journal of …, 2017 - Elsevier
In this work we present a FCT-like Maximum-Principle Preserving (MPP) method to solve the
transport equation. We use high-order polynomial spaces; in particular, we consider up to …

Well-balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gas dynamics with gravity

E Gaburro, MJ Castro, M Dumbser - Monthly Notices of the Royal …, 2018 - academic.oup.com
In this work, we present a novel second-order accurate well-balanced arbitrary Lagrangian–
Eulerian (ALE) finite volume scheme on moving nonconforming meshes for the Euler …

Direct Arbitrary-Lagrangian–Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws

W Boscheri, R Loubere, M Dumbser - Journal of Computational Physics, 2015 - Elsevier
In this paper we present a new family of efficient high order accurate direct Arbitrary-
Lagrangian–Eulerian (ALE) one-step ADER-MOOD finite volume schemes for the solution of …

A unified framework for the solution of hyperbolic PDE systems using high order direct Arbitrary-Lagrangian–Eulerian schemes on moving unstructured meshes with …

E Gaburro - Archives of Computational Methods in Engineering, 2021 - Springer
In this work, we review the family of direct Arbitrary-Lagrangian–Eulerian (ALE) finite vlume
(FV) and discontinuous Galerkin (DG) schemes on moving meshes that at each time step …

Monotonicity in high‐order curvilinear finite element arbitrary Lagrangian–Eulerian remap

RW Anderson, VA Dobrev, TV Kolev… - … Journal for Numerical …, 2015 - Wiley Online Library
The remap phase in arbitrary Lagrangian–Eulerian (ALE) hydrodynamics involves the
transfer of field quantities defined on a post‐Lagrangian mesh to some new mesh, usually …