Discrete Hamilton's equations for viscous compressible fluid dynamics

DOI10.1016/S0045-7825(99)00100-0zbMath0966.76046MaRDI QIDQ1976150

E. P. Fahrenthold, J. C. Koo

Publication date: 16 August 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

energy methodsviscous compressible fluiddiscrete Hamilton's equations

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Hamilton's equations (70H05) Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (max. 100)

A novel GEEC (geometry, energy, and entropy compatible) procedure applied to a staggered direct-ALE scheme for hydrodynamics ⋮ Energy preservation and entropy in Lagrangian space- and time-staggered hydrodynamic schemes ⋮ Discrete Lagrange equations for reacting thermofluid dynamics in arbitrary Lagrangian-Eulerian frames ⋮ Discrete Hamilton's equations for arbitrary Lagrangian-Eulerian dynamics of viscous compressible flow

Uses Software

• DYNA3D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• Computational methods in Lagrangian and Eulerian hydrocodes
• Hamiltonian particle hydrodynamics
• Discrete Hamilton's equations for arbitrary Lagrangian-Eulerian dynamics of viscous compressible flow
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• A particle method for history-dependent materials
• New Variational-Lagrangian Irreversible Thermodynamics with Application to Viscous Flow, Reaction–Diffusion, and Solid Mechanics
• Characteristic-based flux limiters of an essentially third-order flux-splitting method for hyperbolic conservation laws
• Numerical solutions of Euler equations by using a new flux vector splitting scheme
• Lagrangian Bond Graphs for Solid Continuum Dynamics Modeling
• System Dynamics Modeling of Porous Media
• Advanced Engineering Dynamics
• Eulerian Bond Graphs for Fluid Continuum Dynamics Modeling
• Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media

This page was built for publication: Discrete Hamilton's equations for viscous compressible fluid dynamics