A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows

DOI10.1016/j.camwa.2018.08.020zbMath1442.65267OpenAlexW2888590771WikidataQ129343598 ScholiaQ129343598MaRDI QIDQ2003874

Evan J. Lieberman, Nathaniel R. Morgan, Darby J. Luscher, Donald E. Burton

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.020

zbMATH Keywords

Lagrangianhydrodynamicsshockscompressible flowsdiscontinuous Galerkinsolid dynamics

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes ⋮ Symmetry-preserving WENO-type reconstruction schemes in Lagrangian hydrodynamics ⋮ Simulation of dynamic crystal plasticity with a Lagrangian discontinuous Galerkin hydrodynamic method ⋮ A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids ⋮ A cell-centered discontinuous Galerkin multi-material arbitrary Lagrangian-Eulerian method in axisymmetric geometry

Cites Work

• Unnamed Item
• A Lagrangian staggered grid Godunov-like approach for hydrodynamics
• A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids
• A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions
• A Lagrangian discontinuous Galerkin hydrodynamic method
• An Eulerian method for computation of multimaterial impact with ENO shock-capturing and sharp interfaces.
• A cell-centered Lagrangian Godunov-like method for solid dynamics
• Cell-centered discontinuous Galerkin discretization for two-dimensional Lagrangian hydrodynamics
• Analytic solutions of hydrodynamics equations
• A Lagrangian Discontinuous Galerkin-type method on unstructured meshes to solve hydrodynamics problems
• Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis

This page was built for publication: A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows