A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed planar-symmetric flows of gas dynamics

DOI10.1016/j.jcp.2004.01.003zbMath1107.76367OpenAlexW1993164193MaRDI QIDQ1877104

Jean-Marie Clarisse, Pierre-Arnaud Raviart, Stéphane Jaouen

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.01.003

zbMATH Keywords

Gas dynamicsGodunov-type methodsLinearized stability in Lagrangian coordinatesRichtmyer--Meshkov instability

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (6)

Surface tension for compressible fluids in ALE framework ⋮ Analytical linear theory for the shock and re-shock of isotropic density inhomogeneities ⋮ A modified sensitivity equation method for the Euler equations in presence of shocks ⋮ A stochastic surrogate model approach applied to calibration of unstable fluid flow experiments ⋮ A low-Mach correction for multi-dimensional finite volume shock capturing schemes with application in Lagrangian frame ⋮ A purely Lagrangian method for computing linearly-perturbed flows in spherical geometry

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Computational methods in Lagrangian and Eulerian hydrocodes
• The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. A general numerical approach
• On the linearization of systems of conservation laws for fluids at a material contact discontinuity
• One-dimensional transport equations with discontinuous coefficients
• On Godunov-Type Schemes for Lagrangian Gas Dynamics
• The stability of multidimensional shock fronts
• Small amplitude theory of Richtmyer–Meshkov instability
• Richtmyer–Meshkov instability growth: experiment, simulation and theory
• Systems of conservation laws
• Lagrangian systems of conservation laws. Invariance properties of Lagrangian systems of conservation laws, approximate Riemann solvers and the entropy condition

This page was built for publication: A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed planar-symmetric flows of gas dynamics