Implementation of the compact interpolation within the octree based Lattice Boltzmann solver Musubi. (15th August 2019)

• Record Type: Journal Article
• Authors: Qi, Jiaxing; Klimach, Harald; Roller, Sabine
• Is Part Of: Computers & mathematics with applications. Volume 78:issue 4(2019)
• Page Start: 1131
• Page End: 1141
• Publication Date: 2019-08-15
• Subjects: Mesh refinement -- Lattice Boltzmann Method -- Octree -- Musubi; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.06.025
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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. The compact interpolation requires only four source elements from the adjacent level for both, two and three dimensions, thus improves the computational efficiency. Moreover, a weight based domain decomposition algorithm and the level-wise arrangement of elements is explained in detail. The second order convergence for both velocity and strain rate are validated numerically in the Taylor–Green vortex test case. Additionally, the 3D flow around a sphere in the Reynolds number range of 100–1000 is investigated. Good agreement between simulated results and those from literature is observed, which provides further evidence for the accuracy of our method.