A genuinely two-dimensional approximate Riemann solver with stress continuity for hypo-elastic solids

Nonlinear elasticity (74B20) Shocks and related discontinuities in solid mechanics (74J40) Finite volume methods applied to problems in solid mechanics (74S10)

Cites Work

A second-order cell-centered Lagrangian scheme with a HLLC Riemann solver of elastic and plastic waves for two-dimensional elastic-plastic flows
Exact and approximate solutions of Riemann problems in nonlinear elasticity
Solution of a Riemann problem for elasticity
Numerical algorithms for strong discontinuities in elastic-plastic solids
A second-order Godunov method for wave problems in coupled solid-water-gas systems
A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems
Definition and weak stability of nonconservative products
A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics
The complete exact Riemann solution for one-dimensional elastic-perfectly plastic Riemann problem
A friction interface model for multi-material interactions in a Eulerian framework
Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems
An HLLC-type approximate Riemann solver for two-dimensional elastic-perfectly plastic model
Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas
A complete list of exact solutions for one-dimensional elastic-perfectly plastic solid Riemann problem without vacuum
A genuinely two-dimensional Riemann solver for compressible flows in curvilinear coordinates
Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows
Simulation of dynamic crystal plasticity with a Lagrangian discontinuous Galerkin hydrodynamic method
A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids
Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates
A multi-material HLLC Riemann solver with both elastic and plastic waves for 1D elastic-plastic flows
Harten-Lax-van Leer-contact (HLLC) approximation Riemann solver with elastic waves for one-dimensional elastic-plastic problems
A genuinely multidimensional convective pressure flux split Riemann solver for Euler equations
A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries
Modelling wave dynamics of compressible elastic materials
A study of multidimensional fifth-order WENO method for genuinely two-dimensional Riemann solver
A second-order modified ghost fluid method (2nd-MGFM) with discontinuous Galerkin method for 1-D compressible multi-medium problem with cylindrical and spherical symmetry
Godunov method for nonconservative hyperbolic systems
A second-order Godunov method for the conservation laws of nonlinear elastodynamics
A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows
A Solution Structure-Based Adaptive Approximate (SSAA) Riemann Solver for the Elastic-Perfectly Plastic Solid
An Approximate Riemann Solver for Fluid-Solid InteractionProblemswithMie-GrüneisenEquations of State
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
A high-order Eulerian Godunov method for elastic-plastic flow in solids
A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids.
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow
HLLEPJ and HLLCEPJ Riemann solvers for the wilkins model of elastoplasticity
Numerical and analytical investigation of shock wave processes in elastoplastic media
Numerical path preserving Godunov schemes for hyperbolic systems

This page was built for publication: A genuinely two-dimensional approximate Riemann solver with stress continuity for hypo-elastic solids