Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics

DOI10.1016/j.jcp.2009.06.042zbMath1172.76025OpenAlexW2051023345MaRDI QIDQ733010

D. Kharzeev

Publication date: 15 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.06.042

zbMATH Keywords

von Neumann analysismid-point time integrator

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Multirate timestepping for the incompressible Navier-Stokes equations in overlapping grids ⋮ An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction ⋮ On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics ⋮ Tetrahedral mesh adaptation for Lagrangian shock hydrodynamics ⋮ A high resolution Lagrangian method using nonlinear hybridization and hyperviscosity ⋮ Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows ⋮ Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high-wavenumber viscosity for high-resolution numerical methods
• Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics
• Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: theoretical framework and two-dimensional computations
• The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Formulations of artificial viscosity for multi-dimensional shock wave computations
• A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods
• On Stability of Staggered Schemes
• Matrix Analysis
• Stability Analysis of WONDY (A Hydrocode Based on the Artificial Viscosity Method of von Neumann and Richtmyer) for a Special Case of Maxwell's Law
• The Riemann problem for fluid flow of real materials
• A compatible finite element multi‐material ALE hydrodynamics algorithm
• A Method for the Numerical Calculation of Hydrodynamic Shocks

This page was built for publication: Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics