Gillissen, JJJ;
(2016)
Stabilizing the thermal lattice Boltzmann method by spatial filtering.
Physical Review E
, 94
(4)
, Article 043302. 10.1103/PhysRevE.94.043302.
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Abstract
We propose to stabilize the thermal lattice Boltzmann method by filtering the second- and third-order moments of the collision operator. By means of the Chapman-Enskog expansion, we show that the additional numerical diffusivity diminishes in the low-wavnumber limit. To demonstrate the enhanced stability, we consider a three-dimensional thermal lattice Boltzmann system involving 33 discrete velocities. Filtering extends the linear stability of this thermal lattice Boltzmann method to 10-fold smaller transport coefficients. We further demonstrate that the filtering does not compromise the accuracy of the hydrodynamics by comparing simulation results to reference solutions for a number of standardized test cases, including natural convection in two dimensions.
| Type: | Article |
|---|---|
| Title: | Stabilizing the thermal lattice Boltzmann method by spatial filtering |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.94.043302 |
| Publisher version: | https://doi.org/10.1103/PhysRevE.94.043302 |
| Language: | English |
| Additional information: | This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10037726 |
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