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2019 | OriginalPaper | Buchkapitel

An Open and Parallel Multiresolution Framework Using Block-Based Adaptive Grids

verfasst von : Mario Sroka, Thomas Engels, Philipp Krah, Sophie Mutzel, Kai Schneider, Julius Reiss

Erschienen in: Active Flow and Combustion Control 2018

Verlag: Springer International Publishing

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Abstract

A numerical approach for solving evolutionary partial differential equations in two and three space dimensions on block-based adaptive grids is presented. The numerical discretization is based on high-order, central finite-differences and explicit time integration. Grid refinement and coarsening are triggered by multiresolution analysis, i.e. thresholding of wavelet coefficients, which allow controlling the precision of the adaptive approximation of the solution with respect to uniform grid computations. The implementation of the scheme is fully parallel using MPI with a hybrid data structure. Load balancing relies on space filling curves techniques. Validation tests for 2D advection equations allow to assess the precision and performance of the developed code. Computations of the compressible Navier-Stokes equations for a temporally developing 2D mixing layer illustrate the properties of the code for nonlinear multi-scale problems. The code is open source.

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Titel: An Open and Parallel Multiresolution Framework Using Block-Based Adaptive Grids
verfasst von: Mario Sroka
Thomas Engels
Philipp Krah
Sophie Mutzel
Kai Schneider
Julius Reiss
Verlag: Springer International Publishing
Buch: Active Flow and Combustion Control 2018
Print ISBN: 978-3-319-98176-5

Electronic ISBN: 978-3-319-98177-2

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-319-98177-2_19

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