TY - JOUR
T1 - Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition
AU - Wang , Junkai
AU - He , Qiaolin
JO - Communications in Computational Physics
VL - 4
SP - 1053
EP - 1089
PY - 2024
DA - 2024/10
SN - 36
DO - http://doi.org/10.4208/cicp.OA-2024-0313
UR - https://global-sci.org/intro/article_detail/cicp/23486.html
KW - Compressible, Helmholtz free energy, energy-stable, Lagrange multiplier, multicomponent, Peng-Robinson EoS.
AB - <p style="text-align: justify;">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.</p>