This paper reviews recent developments in Arbitrary Lagrangian Eulerian (ALE) methods for
modeling high speed compressible multimaterial flows in complex geometry on general …

We present a new approach for multi-material arbitrary Lagrangian--Eulerian (ALE)
hydrodynamics simulations based on high-order finite elements posed on high-order …

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 …

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 …

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 …

In this paper, we present a class of high‐order accurate cell‐centered arbitrary Lagrangian–
Eulerian (ALE) one‐step ADER weighted essentially non‐oscillatory (WENO) finite volume …

In this paper we use the genuinely multidimensional HLL Riemann solvers recently
developed by Balsara et al. in [13] to construct a new class of computationally efficient high …

A finite volume method for Eulerian multi-material hydrodynamics with sharp interface
capturing is presented. The pressure-temperature non-equilibrium multi-material system …

Discontinuous Galerkin (DG) methods have been well established for single‐material
hydrodynamics. However, consistent DG discretizations for non‐equilibrium multi‐material …

In this article we present a new high order accurate fully discrete one-step Arbitrary-
Lagrangian-Eulerian (ALE) finite volume scheme on moving unstructured curvilinear …