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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.