High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions |
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Authors: | Babak Hejazialhosseini Diego Rossinelli Michael Bergdorf Petros Koumoutsakos |
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Affiliation: | Chair of Computational Science, ETH Zürich, CH-8092, Switzerland |
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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. |
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Keywords: | Wavelets Adapted grid Local time-stepping Multiphase flow Multicore architectures |
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