Linearly decoupled energy-stable numerical methods for multi-component two-phase compressible flow

Handle URI:
http://hdl.handle.net/10754/626511
Title:
Linearly decoupled energy-stable numerical methods for multi-component two-phase compressible flow
Authors:
Kou, Jisheng; Sun, Shuyu ( 0000-0002-3078-864X ) ; Wang, Xiuhua
Abstract:
In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multi-component two-phase compressible flow with a realistic equation of state (e.g. Peng-Robinson equation of state). The methods are constructed based on the scalar auxiliary variable (SAV) approaches for Helmholtz free energy and the intermediate velocities that are designed to decouple the tight relationship between velocity and molar densities. The intermediate velocities are also involved in the discrete momentum equation to ensure a consistency relationship with the mass balance equations. Moreover, we propose a component-wise SAV approach for a multi-component fluid, which requires solving a sequence of linear, separate mass balance equations. We prove that the methods have the unconditional energy-dissipation feature. Numerical results are presented to verify the effectiveness of the proposed methods.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Publisher:
arXiv
Issue Date:
6-Dec-2017
ARXIV:
arXiv:1712.02222
Type:
Preprint
Additional Links:
http://arxiv.org/abs/1712.02222v1; http://arxiv.org/pdf/1712.02222v1
Appears in Collections:
Other/General Submission; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorKou, Jishengen
dc.contributor.authorSun, Shuyuen
dc.contributor.authorWang, Xiuhuaen
dc.date.accessioned2017-12-28T07:32:14Z-
dc.date.available2017-12-28T07:32:14Z-
dc.date.issued2017-12-06en
dc.identifier.urihttp://hdl.handle.net/10754/626511-
dc.description.abstractIn this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multi-component two-phase compressible flow with a realistic equation of state (e.g. Peng-Robinson equation of state). The methods are constructed based on the scalar auxiliary variable (SAV) approaches for Helmholtz free energy and the intermediate velocities that are designed to decouple the tight relationship between velocity and molar densities. The intermediate velocities are also involved in the discrete momentum equation to ensure a consistency relationship with the mass balance equations. Moreover, we propose a component-wise SAV approach for a multi-component fluid, which requires solving a sequence of linear, separate mass balance equations. We prove that the methods have the unconditional energy-dissipation feature. Numerical results are presented to verify the effectiveness of the proposed methods.en
dc.publisherarXiven
dc.relation.urlhttp://arxiv.org/abs/1712.02222v1en
dc.relation.urlhttp://arxiv.org/pdf/1712.02222v1en
dc.rightsArchived with thanks to arXiven
dc.titleLinearly decoupled energy-stable numerical methods for multi-component two-phase compressible flowen
dc.typePreprinten
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.eprint.versionPre-printen
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China.en
dc.identifier.arxividarXiv:1712.02222en
kaust.authorSun, Shuyuen
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