Energy preservation and entropy in Lagrangian space- and time-staggered hydrodynamic schemes

DOI10.1016/J.JCP.2015.12.044zbMath1351.76171OpenAlexW2224587734MaRDI QIDQ729510

Antoine Llor, Alexandra Claisse, Christophe Fochesato

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.12.044

zbMATH Keywords

shockenergy conservationstaggered schemeentropy conditioncompatible schemeLagrangian hydrodynamic scheme

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (8)

A novel GEEC (geometry, energy, and entropy compatible) procedure applied to a staggered direct-ALE scheme for hydrodynamics ⋮ Isentropic correction for collocated Lagrange-Remap scheme ⋮ Conservative and entropy controlled remap for multi-material ALE simulations with space-staggered schemes ⋮ Conservative High-Order Time Integration for Lagrangian Hydrodynamics ⋮ Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow ⋮ Energy preservation and entropy in Lagrangian space- and time-staggered hydrodynamic schemes ⋮ High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation ⋮ Sub-grid properties and artificial viscous stresses in staggered-mesh schemes

Uses Software

• CAVEAT

Cites Work

• Unnamed Item
• A cell centred Lagrangian Godunov scheme for shock hydrodynamics
• On symplectic and multisymplectic schemes for the KdV equation
• Structure-preserving discretization of incompressible fluids
• Weak consistency of the cell-centered Lagrangian GLACE scheme on general meshes in any dimension
• A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates
• Mimetic finite difference method
• Why starting from differential equations for computational physics?
• Energy preservation and entropy in Lagrangian space- and time-staggered hydrodynamic schemes
• 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
• Integrable discrete-time systems and difference operators
• Symmetrization of Lagrangian gas dynamics in dimension two and multidimensional solvers
• A tensor artificial viscosity using a finite element approach
• Hamiltonian differencing of fluid dynamics
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• On modeling angular momentum and vorticity in compressible fluid flow
• The hydrocode convergence problem. II
• Computational methods in Lagrangian and Eulerian hydrocodes
• Calculating three-dimensional fluid flows at all speeds with an Eulerian- Lagrangian computing mesh
• A generalized arbitrary Lagrangian-Eulerian method for incompressible flows with sharp interfaces
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
• Numerical preservation of symmetry properties of continuum problems
• Noh's constant-velocity shock problem revisited
• Hamiltonian particle hydrodynamics
• Asynchronous variational integrators
• A discrete operator calculus for finite difference approximations
• Discrete Hamilton's equations for arbitrary Lagrangian-Eulerian dynamics of viscous compressible flow
• Algebraic limitations on two-dimensional hydrodynamics simulations
• Discrete Hamilton's equations for viscous compressible fluid dynamics
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Volume consistency in a staggered grid Lagrangian hydrodynamics scheme
• Discrete mechanics and variational integrators
• A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
• The consistency of pressure-gradient approximations used in multi-dimensional shock hydrodynamics
• Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
• Geometric numerical integration illustrated by the Störmer–Verlet method
• High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
• Hyperviscosity for unstructured ALE meshes
• Multisymplectic formulation of fluid dynamics using the inverse map
• Numerical methods for Hamiltonian PDEs
• A Method for the Numerical Calculation of Hydrodynamic Shocks

This page was built for publication: Energy preservation and entropy in Lagrangian space- and time-staggered hydrodynamic schemes