Discrete Hamilton's equations for arbitrary Lagrangian-Eulerian dynamics of viscous compressible flow

DOI10.1016/S0045-7825(99)00405-3zbMath0991.76045OpenAlexW2068645503MaRDI QIDQ1587956

J. C. Koo, E. P. Fahrenthold

Publication date: 3 December 2000

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00405-3

zbMATH Keywords

finite element discretizationadaptive meshviscous compressible flowconvected coordinatesHamilton's equationsshock problemdeforming control volumeenergy based ALE model

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hamilton's equations (70H05) Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua
• Numerical simulation of unsteady viscous free surface flow
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• Ta panta rei. (Everything is flowing)
• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body
• Adaptive ALE finite elements with particular reference to external work rate on frictional interface
• Momentum advection on a staggered mesh
• An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids
• Hamiltonian particle hydrodynamics
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Discrete Hamilton's equations for viscous compressible fluid dynamics
• 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
• ALE finite element formulation for ring rolling analysis
• An ALE hydrodynamic lubrication finite element method with application to strip rolling
• Numerical solutions of Euler equations by using a new flux vector splitting scheme
• Finite element hydrodynamic friction model for metal forming
• Simulation of free surfaces in 3‐D with the arbitrary Lagrange–Euler method
• Arbitrary Lagrangian–Eulerian finite element analysis of strain localization in transient problems
• Eulerian Bond Graphs for Fluid Continuum Dynamics Modeling
• An arbitrary Lagrangian-Eulerian computing method for all flow speeds

This page was built for publication: Discrete Hamilton's equations for arbitrary Lagrangian-Eulerian dynamics of viscous compressible flow