The cumulant lattice Boltzmann equation in three dimensions: Theory and validation

By Martin Geier, Martin Schönherr, Andrea Pasquali, Manfred Krafczyk. Computers and Mathematics with Applications, 2015

422 citations recorded by the source corpus.

We propose, analyze, and validate a lattice Boltzmann model with a cumulant collision operator. The new model is analytically and numerically shown to poses smaller errors than a moment based Multiple Relaxation Time lattice Boltzmann model. We demonstrate the usability of the cumulant lattice Boltzmann model by simulations of flow around a sphere for Reynolds numbers from 200 to 105.

Subfields: Aerospace Engineering, Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/e2b11a2eddf55ad2e171b9c5878f5f2b64ea1a93

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In Computational Mechanics

1. Qing Liu
2. Qing Li
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In Electrical and Electronic Engineering

1. Qing Li
2. Qing Liu
3. Yangyang He

Citations in the corpus

• Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review (2018, methodology): “on matrix is not necessary to be an orthogonal one, i.e., the transformation matrix can be constructed based on non-orthogonal basis vectors, which leads to the so-called non-orthogonal MRT-LB method [112,113]. The non-orthogonal MRT-LB model for incompressible isothermal flows provides solutions th”