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Volume 33, Issue 1
Prediction of Moments in the Particles on Demand Method for LBM

Elizaveta Zipunova, Anastasia Perepelkina, Vadim Levchenko & German Zvezdin

DOI: 10.4208/cicp.OA-2022-0048

Commun. Comput. Phys., 33 (2023), pp. 144-173.

Published online: 2023-02

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  • Abstract

PonD is a method to extend LBM calculations to arbitrary ranges of Mach number and temperature. The current work was motivated by the issue of mass, momentum and energy conservation in the PonD method for LBM. The collision guarantees their conservation, thus, the study involves all aspects of the streaming step: both coordinate and velocity space discretizations, gauge transfer method, resolution of the scheme implicitness. After obtaining the expressions for the change of moments in the system in a time update of the scheme, it was found that the scheme can be formulated as explicit in some cases. Thus, we found the sufficient conditions to make Pond/RegPonD computations explicit and mass, momentum, and energy conserving. The scheme was implemented in the explicit form, and validated for several test cases.

  • Keywords

LBM, compressible, off-grid.

  • AMS Subject Headings

76N15, 52B10, 65D18, 68U05, 68U07, 65Z05, 65D99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-33-144, author = {Zipunova , ElizavetaPerepelkina , AnastasiaLevchenko , Vadim and Zvezdin , German}, title = {Prediction of Moments in the Particles on Demand Method for LBM}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {1}, pages = {144--173}, abstract = {

PonD is a method to extend LBM calculations to arbitrary ranges of Mach number and temperature. The current work was motivated by the issue of mass, momentum and energy conservation in the PonD method for LBM. The collision guarantees their conservation, thus, the study involves all aspects of the streaming step: both coordinate and velocity space discretizations, gauge transfer method, resolution of the scheme implicitness. After obtaining the expressions for the change of moments in the system in a time update of the scheme, it was found that the scheme can be formulated as explicit in some cases. Thus, we found the sufficient conditions to make Pond/RegPonD computations explicit and mass, momentum, and energy conserving. The scheme was implemented in the explicit form, and validated for several test cases.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0048}, url = {http://global-sci.org/intro/article_detail/cicp/21429.html} }
TY - JOUR T1 - Prediction of Moments in the Particles on Demand Method for LBM AU - Zipunova , Elizaveta AU - Perepelkina , Anastasia AU - Levchenko , Vadim AU - Zvezdin , German JO - Communications in Computational Physics VL - 1 SP - 144 EP - 173 PY - 2023 DA - 2023/02 SN - 33 DO - http://doi.org/10.4208/cicp.OA-2022-0048 UR - https://global-sci.org/intro/article_detail/cicp/21429.html KW - LBM, compressible, off-grid. AB -

PonD is a method to extend LBM calculations to arbitrary ranges of Mach number and temperature. The current work was motivated by the issue of mass, momentum and energy conservation in the PonD method for LBM. The collision guarantees their conservation, thus, the study involves all aspects of the streaming step: both coordinate and velocity space discretizations, gauge transfer method, resolution of the scheme implicitness. After obtaining the expressions for the change of moments in the system in a time update of the scheme, it was found that the scheme can be formulated as explicit in some cases. Thus, we found the sufficient conditions to make Pond/RegPonD computations explicit and mass, momentum, and energy conserving. The scheme was implemented in the explicit form, and validated for several test cases.

Zipunova , ElizavetaPerepelkina , AnastasiaLevchenko , Vadim and Zvezdin , German. (2023). Prediction of Moments in the Particles on Demand Method for LBM. Communications in Computational Physics. 33 (1). 144-173. doi:10.4208/cicp.OA-2022-0048
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