%0 Journal Article %1 geier2015cumulant %A Geier, Martin %A Schönherr, Martin %A Pasquali, Andrea %A Krafczyk, Manfred %D 2015 %J Computers & Mathematics with Applications %K 76m28-particle-methods-and-lattice-gas-methods-in-fluid-mechanics %N 4 %P 507-547 %R https://doi.org/10.1016/j.camwa.2015.05.001 %T The cumulant lattice Boltzmann equation in three dimensions: Theory and validation %U https://www.sciencedirect.com/science/article/pii/S0898122115002126 %V 70 %X 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.

@article{geier2015cumulant, abstract = {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.}, added-at = {2021-10-19T22:21:01.000+0200}, author = {Geier, Martin and Schönherr, Martin and Pasquali, Andrea and Krafczyk, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/245e0f220094f4c11b919d3d7cfd5cc75/gdmcbain}, doi = {https://doi.org/10.1016/j.camwa.2015.05.001}, interhash = {88501ae393a1f17c06962d26fd5b76e0}, intrahash = {45e0f220094f4c11b919d3d7cfd5cc75}, issn = {0898-1221}, journal = {Computers & Mathematics with Applications}, keywords = {76m28-particle-methods-and-lattice-gas-methods-in-fluid-mechanics}, number = 4, pages = {507-547}, timestamp = {2021-10-19T22:21:01.000+0200}, title = {The cumulant lattice Boltzmann equation in three dimensions: Theory and validation}, url = {https://www.sciencedirect.com/science/article/pii/S0898122115002126}, volume = 70, year = 2015 }