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

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Autor/in:
Erscheinungsjahr:
2008
Medientyp:
Text
Schlagworte:
  • Finite-volume schemes
  • Hyperbolic systems
  • Meshless methods
  • Non-Lagrangian methods
Beschreibung:
  • The paper deals with the finite-volume particle method (FVPM), a relatively new method for solving hyperbolic systems of conservation laws. A general formulation of the method for bounded and moving domains is presented. Furthermore, an approximation property of the reconstruction formula is proved. Then, based on a two-dimensional test problem posed on a moving domain, a special Ansatz for the movement of the particles is proposed. The obtained numerical results indicate that this method is well suited for such problems, and thus a first step to apply the FVPM to real industrial problems involving free boundaries or fluid-structure interaction is taken. Finally, we perform a numerical convergence study for a shock tube problem and a simple linear advection equation. Copyright © 2008 John Wiley & Sons, Ltd.
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  • info:eu-repo/semantics/closedAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/bb95aa76-3e90-40d2-b495-0362674532e4