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Title: Mass conservative lattice Boltzmann scheme for a three-dimensional diffuse interface model with Peng-Robinson equation of state
Authors: Qiao, Z 
Yang, X 
Zhang, Y 
Issue Date: 14-Aug-2018
Source: Physical review E : covering statistical, nonlinear, biological, and soft matter physics, 14 Aug. 2018, v. 98, no. 2, 23306
Abstract: Peng-Robinson (P-R) equation of state (EOS) has been widely used in the petroleum industry for hydrocarbon fluids. In this work, a three-dimensional diffuse interface model with P-R EOS for two-phase fluid system is solved by the lattice Boltzmann (LB) method. In this diffuse interface model, an Allen-Cahn (A-C) type phase equation with strong nonlinear source term is derived. Using the multiscale Chapman-Enskog analysis, the A-C type phase equation can be recovered from the proposed LB method. Besides, a Lagrange multiplier is introduced based on the mesoscopic character of the LB scheme so that total mass of the hydrocarbon system is preserved. Three-dimensional numerical simulations of realistic hydrocarbon components, such as isobutane and propane, are implemented to illustrate the effectiveness of the proposed mass conservative LB scheme. Numerical results reach a better agreement with laboratory data compared to previous results of two-dimensional numerical simulations.
Publisher: American Physical Society
Journal: Physical review E : covering statistical, nonlinear, biological, and soft matter physics 
ISSN: 2470-0045
EISSN: 2470-0053
DOI: 10.1103/PhysRevE.98.023306
Rights: © 2018 American Physical Society
The following publication Qiao, Z., Yang, X., & Zhang, Y. (2018). Mass conservative lattice Boltzmann scheme for a three-dimensional diffuse interface model with Peng-Robinson equation of state. Physical Review E, 98(2), 023306 is available at https://doi.org/10.1103/PhysRevE.98.023306
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