A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes

W Boscheri, S Chiocchetti, I Peshkov - Journal of Computational Physics, 2022 - Elsevier
A cell-centered implicit-explicit updated Lagrangian finite volume scheme on unstructured
grids is proposed for a unified first-order hyperbolic formulation of continuum fluid and solid …

High order direct Arbitrary-Lagrangian-Eulerian (ALE) PNPM schemes with WENO Adaptive-Order reconstruction on unstructured meshes

W Boscheri, DS Balsara - Journal of Computational Physics, 2019 - Elsevier
In this work we present a conservative WENO Adaptive Order (AO) reconstruction operator
applied to an explicit one-step Arbitrary-Lagrangian-Eulerian (ALE) discontinuous Galerkin …

A cell-centered indirect Arbitrary-Lagrangian-Eulerian discontinuous Galerkin scheme on moving unstructured triangular meshes with topological adaptability

W Wu, AM Zhang, M Liu - Journal of Computational Physics, 2021 - Elsevier
In this paper, we present a novel cell-centered indirect Arbitrary-Lagrangian-Eulerian (ALE)
discontinuous Galerkin (DG) scheme on moving unstructured triangular meshes with mesh …

A cell-centered discontinuous Galerkin multi-material arbitrary Lagrangian-Eulerian method in axisymmetric geometry

F Qing, Z Jia, L Liu - Journal of Computational Physics, 2023 - Elsevier
In this paper, a cell-centered discontinuous Galerkin (DG) multi-material arbitrary
Lagrangian-Eulerian (MMALE) method is developed for compressible fluid dynamics in …

A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids

X Liu, NR Morgan, EJ Lieberman, DE Burton - Journal of Computational …, 2022 - Elsevier
The existing high-order Lagrangian discontinuous Galerkin (DG) hydrodynamic methods are
restricted to using quadratic meshes with quadratic polynomials (P2), which in turn, yield up …

A cell-centered Lagrangian discontinuous Galerkin method using WENO and HWENO limiter for compressible Euler equations in two dimensions

F Qing, X Yu, Z Jia, Z Li - Computational and Applied Mathematics, 2021 - Springer
This article introduces a new variant of the cell-centered Lagrangian discontinuous Galerkin
method for two-dimensional compressible flow which was proposed by Jia et al.(J Comput …

Second order conservative Lagrangian DG schemes for compressible flow and their application in preserving spherical symmetry in two-dimensional cylindrical …

W Feng, J Cheng, CW Shu - Journal of Computational Physics, 2025 - Elsevier
In this paper, we construct a class of second-order cell-centered Lagrangian discontinuous
Galerkin (DG) schemes for the two-dimensional compressible Euler equations on …

A high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows in two-dimensional Cartesian and cylindrical coordinates

X Zhao, S Zou, X Yu, D Shi, S Song - Computers & Mathematics with …, 2024 - Elsevier
In this paper, a high-order direct arbitrary Lagrangian-Eulerian (ALE) discontinuous Galerkin
(DG) scheme is developed for compressible fluid flows in two-dimensional (2D) Cartesian …

An efficient second-order cell-centered Lagrangian discontinuous Galerkin method for two-dimensional elastic-plastic flows

P Niu, F Qing, C Wang, Z Jia, W Wang - Physics of Fluids, 2024 - pubs.aip.org
An efficient second-order cell-centered Lagrangian discontinuous Galerkin (DG) method for
solving two-dimensional (2D) elastic-plastic flows with the hypo-elastic constitutive model …

An arbitrary Lagrangian-Eulerian RKDG method for multi-material flows on adaptive unstructured meshes

X Zhao, X Yu, M Qiu, F Qing, S Zou - Computers & Fluids, 2020 - Elsevier
In this paper, we propose an arbitrary Lagrangian Eulerian (ALE) method for solving
compressible multi-material flows on two-dimensional adaptive unstructured triangular …