A 3D cell-centered ADER MOOD finite volume method for solving updated Lagrangian hyperelasticity on unstructured grids
From MaRDI portal
Publication:2136461
DOI10.1016/j.jcp.2021.110779OpenAlexW3209595355MaRDI QIDQ2136461
Raphaël Loubère, Pierre-Henri Maire, Walter Boscheri
Publication date: 10 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110779
ADERhyperelasticitymoving unstructured meshescell-centered Lagrangian finite volume schemes\textit{a posteriori} MOOD limiting
Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
Related Items
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow, A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics, An acoustic Riemann solver for large strain computational contact dynamics, A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations, On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions, ADER discontinuous Galerkin Material Point Method, A cell-centered discontinuous Galerkin multi-material arbitrary Lagrangian-Eulerian method in axisymmetric geometry
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- An example of a one-parameter family of rank-one convex stored energies for isotropic compressible solids
- Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues
- A vertex centred finite volume Jameson-Schmidt-Turkel (JST) algorithm for a mixed conservation formulation in solid dynamics
- A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D
- A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
- Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
- Development of a stabilised Petrov-Galerkin formulation for conservation laws in Lagrangian fast solid dynamics
- Hypo-elasticity and elasticity
- A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
- The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
- ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows
- Recent developments in large-scale finite element Lagrangian hydrocode technology
- Computational methods in Lagrangian and Eulerian hydrocodes
- The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
- A second-order Godunov algorithm for two-dimensional solid mechanics
- Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity
- A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity
- Modeling hyperelasticity in non-equilibrium multiphase flows
- A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics
- ADER schemes for three-dimensional non-linear hyperbolic systems
- A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry
- An upwind cell centred total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications
- A first order hyperbolic framework for large strain computational solid dynamics. III: Thermo-elasticity
- A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation
- 3D cell-centered Lagrangian second order scheme for the numerical modeling of hyperelasticity system
- Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity
- A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids
- A 3D GCL compatible cell-centered Lagrangian scheme for solving gas dynamics equations
- A first order hyperbolic framework for large strain computational solid dynamics. II: Total Lagrangian compressible, nearly incompressible and truly incompressible elasticity
- Modelling wave dynamics of compressible elastic materials
- Lagrangian gas dynamics in two dimensions and Lagrangian systems
- A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
- A unified sub‐cell force‐based discretization for cell‐centered Lagrangian hydrodynamics on polygonal grids
- A higher-order Godunov method for modeling finite deformation in elastic-plastic solids
- Drop impact of yield-stress fluids
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- 3D staggered Lagrangian hydrodynamics scheme with cell‐centered Riemann solver‐based artificial viscosity
- A finite volume cell‐centered Lagrangian hydrodynamics approach for solids in general unstructured grids
- Numerical Methods for Eulerian and Lagrangian Conservation Laws
- A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows
- Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes
- Remarks on hypo-elasticity
