Block structured adaptive mesh and time refinement for hybrid, hyperbolic+N-body systems

  • Authors:

  • Francesco Miniati;Phillip Colella

  • Affiliations:

  • Physics Department, Wolfgang-Pauli-Strasse 16, ETH Zürich, CH-8093 Zürich, Switzerland and Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85740 Garching, Germany;Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

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Abstract

We present a new numerical algorithm for the solution of coupled collisional and collisionless systems, based on the block structured adaptive mesh and time refinement strategy (AMR). We describe the issues associated with the discretization of the system equations and the synchronization of the numerical solution on the hierarchy of grid levels. We implement a code based on a higher order, conservative and directionally unsplit Godunov's method for hydrodynamics; a symmetric, time centered modified symplectic scheme for collisionless component; and a multilevel, multigrid relaxation algorithm for the elliptic equation coupling the two components. Numerical results that illustrate the accuracy of the code and the relative merit of various implemented schemes are also presented.