A finite-volume particle method for conservation laws on moving domains

DOI10.1002/fld.1778zbMath1158.65063OpenAlexW2144071702MaRDI QIDQ3536237

Delia Teleaga, Jens Struckmeier

Publication date: 20 November 2008

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1778

zbMATH Keywords

convergencenumerical exampleshyperbolic systems of conservation lawsshock tube problemmeshless methodslinear advection equationfree boundariesmoving domainsfinite-volume particle methodnon-Lagrangian methods

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (10)

Extensions of the meshless finite volume particle method (FVPM) for static and dynamic free-surface flows ⋮ Application of the meshless finite volume particle method to flow-induced motion of a rigid body ⋮ Development of the meshless finite volume particle method with exact and efficient calculation of interparticle area ⋮ Particle transport velocity correction for the finite volume particle method for multi-resolution particle distributions and exact geometric boundaries ⋮ Разрывный метод частиц на газодинамических примерах ⋮ Incompressible moving boundary flows with the finite volume particle method ⋮ A novel approach to surface tension modelling with the finite volume particle method ⋮ Exact finite volume particle method with spherical-support kernels ⋮ High-accurate SPH method with multidimensional optimal order detection limiting ⋮ Improvement of Pressure Calculations in the Moving Particle Semi-Implicit Method for Free-Surface Flows

Cites Work

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• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• A projection technique for incompressible flow in the meshless finite volume particle method
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• Smoothed Particle Hydrodynamics and Its Diverse Applications
• A FINITE-VOLUME PARTICLE METHOD FOR COMPRESSIBLE FLOWS
• Finite Volume Methods for Hyperbolic Problems

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