Implementation of the compact interpolation within the octree based Lattice Boltzmann solver Musubi

A sparse octree based parallel implementation of the lattice Boltzmann method for non-uniform meshes is presented in this paper. To couple grids of different resolutions, a second order accurate compact interpolation is employed and further extended into three dimensions. This compact interpolation...

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Bibliographic Details
Published in:arXiv.org 2016-01
Main Authors: Qi, Jiaxing, Klimach, Harald, Roller, Sabine
Format: Article
Language:English
Subjects:
Algorithms
Computational fluid dynamics
Computer simulation
Cylinders
Domain decomposition methods
Interpolation
Laminar flow
Octrees
Strain rate
Weight
Online Access:Get full text
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Summary:A sparse octree based parallel implementation of the lattice Boltzmann method for non-uniform meshes is presented in this paper. To couple grids of different resolutions, a second order accurate compact interpolation is employed and further extended into three dimensions. This compact interpolation requires only four source elements from the adjacent level for both two- and three dimensions. Thus, it reduces the computational and communication overhead in parallel executions. Moreover, the implementation of a weight based domain decomposition algorithm and level-wise elements arrangement are explained in details. The second order convergence of both velocity and strain rate are validated numerically in the Taylor-Green vortex test case. Additionally, the laminar flow around a cylinder at Re = 20, 100 and around a sphere at Re = 100 is investigated. Good agreement between simulated results and those from literature is observed, which provides further evidence for the accuracy of our method.
ISSN:2331-8422
DOI:10.48550/arxiv.1601.06984