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Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

Year:    2024

Author:    Junkai Wang, Qiaolin He

Communications in Computational Physics, Vol. 36 (2024), Iss. 4 : pp. 1053–1089

Abstract

In this paper, we derive a dimensionless model for compressible multi-component two-phase flows with Peng-Robinson equation of state (EoS), incorporated with the multi-component Navier boundary condition (MNBC). We propose three linearly decoupled and energy-stable numerical schemes for this model. These schemes are developed based on the Lagrange multiplier approach for bulk Helmholtz free energy and surface free energy. One of them is based on a component-wise approach, which requires solving a sequence of linear, separate mass balance equations and leads to an original discrete energy that unconditionally dissipates. Another numerical scheme is based on a component-separate approach, which requires solving a sequence of linear, separate mass balance equations but leads to a modified discrete energy dissipating under certain conditions. Numerical results are presented to verify the effectiveness of the proposed methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2024-0313

Communications in Computational Physics, Vol. 36 (2024), Iss. 4 : pp. 1053–1089

Published online:    2024-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    37

Keywords:    Compressible Helmholtz free energy energy-stable Lagrange multiplier multi-component Peng-Robinson EoS.

Author Details

Junkai Wang

Qiaolin He