High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions

  • Authors:

  • Babak Hejazialhosseini;Diego Rossinelli;Michael Bergdorf;Petros Koumoutsakos

  • Affiliations:

  • Chair of Computational Science, ETH Zürich, CH-8092, Switzerland;Chair of Computational Science, ETH Zürich, CH-8092, Switzerland;Chair of Computational Science, ETH Zürich, CH-8092, Switzerland;Chair of Computational Science, ETH Zürich, CH-8092, Switzerland

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

We present a space-time adaptive solver for single- and multi-phase compressible flows that couples average interpolating wavelets with high-order finite volume schemes. The solver introduces the concept of wavelet blocks, handles large jumps in resolution and employs local time-stepping for efficient time integration. We demonstrate that the inherently sequential wavelet-based adaptivity can be implemented efficiently in multicore computer architectures using task-based parallelism and introducing the concept of wavelet blocks. We validate our computational method on a number of benchmark problems and we present simulations of shock-bubble interaction at different Mach numbers, demonstrating the accuracy and computational performance of the method.