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Volume 13, Issue 3
Extended BGK Boltzmann for Dense Gases

Saikishan Suryanarayanan, Shiwani Singh & Santosh Ansumali

DOI: 10.4208/cicp.401011.220212s

Commun. Comput. Phys., 13 (2013), pp. 629-648.

Published online: 2013-03

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  • Abstract

An alternate BGK type formulation of the Enskog equation has been recently proposed [1]. It was shown that the new model has a valid H-theorem and correct thermal conductivity. We propose Lattice Boltzmann (LB) formulation of this new Enskog-BGK model. The molecular nature of the model is verified in case of shear flow by comparing the predicted normal stress behavior by the current model with the prediction of molecular dynamics simulations. We extend the model for multiphase flow by incorporating attractive part as Vlasov type force. To validate multiphase formulation, the results of 3D simulations of a condensing bubble in a periodic box are presented.

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@Article{CiCP-13-629, author = {Saikishan Suryanarayanan, Shiwani Singh and Santosh Ansumali}, title = {Extended BGK Boltzmann for Dense Gases}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {3}, pages = {629--648}, abstract = {

An alternate BGK type formulation of the Enskog equation has been recently proposed [1]. It was shown that the new model has a valid H-theorem and correct thermal conductivity. We propose Lattice Boltzmann (LB) formulation of this new Enskog-BGK model. The molecular nature of the model is verified in case of shear flow by comparing the predicted normal stress behavior by the current model with the prediction of molecular dynamics simulations. We extend the model for multiphase flow by incorporating attractive part as Vlasov type force. To validate multiphase formulation, the results of 3D simulations of a condensing bubble in a periodic box are presented.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.401011.220212s}, url = {http://global-sci.org/intro/article_detail/cicp/7240.html} }
TY - JOUR T1 - Extended BGK Boltzmann for Dense Gases AU - Saikishan Suryanarayanan, Shiwani Singh & Santosh Ansumali JO - Communications in Computational Physics VL - 3 SP - 629 EP - 648 PY - 2013 DA - 2013/03 SN - 13 DO - http://doi.org/10.4208/cicp.401011.220212s UR - https://global-sci.org/intro/article_detail/cicp/7240.html KW - AB -

An alternate BGK type formulation of the Enskog equation has been recently proposed [1]. It was shown that the new model has a valid H-theorem and correct thermal conductivity. We propose Lattice Boltzmann (LB) formulation of this new Enskog-BGK model. The molecular nature of the model is verified in case of shear flow by comparing the predicted normal stress behavior by the current model with the prediction of molecular dynamics simulations. We extend the model for multiphase flow by incorporating attractive part as Vlasov type force. To validate multiphase formulation, the results of 3D simulations of a condensing bubble in a periodic box are presented.

Saikishan Suryanarayanan, Shiwani Singh and Santosh Ansumali. (2013). Extended BGK Boltzmann for Dense Gases. Communications in Computational Physics. 13 (3). 629-648. doi:10.4208/cicp.401011.220212s
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