A Parallel MeshAdaptive Framework for Hyperbolic Conservation Laws
Abstract
We report on the development of a computational framework for the parallel, meshadaptive solution of systems of hyperbolic conservation laws like the timedependent Euler equations in compressible gas dynamics or MagnetoHydrodynamics (MHD) and similar models in plasma physics. Local mesh refinement is realized by the recursive bisection of grid blocks along each spatial dimension, implemented numerical schemes include standard finitedifferences as well as shockcapturing central schemes, both in connection with RungeKutta type integrators. Parallel execution is achieved through a configurable hybrid of POSIXmultithreading and MPIdistribution with dynamic load balancing. One two and threedimensional test computations for the Euler equations have been carried out and show good parallel scaling behavior. The Racoon framework is currently used to study the formation of singularities in plasmas and fluids.
 Publication:

arXiv eprints
 Pub Date:
 February 2006
 DOI:
 10.48550/arXiv.physics/0602004
 arXiv:
 arXiv:physics/0602004
 Bibcode:
 2006physics...2004D
 Keywords:

 Physics  Computational Physics;
 Physics  Fluid Dynamics;
 Physics  Plasma Physics
 EPrint:
 late submission