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Engineering with Computers
Erschienen in: Engineering with Computers 6/2022

23.02.2022 | Original Article

Highly efficient variant of SAV approach for two-phase incompressible conservative Allen–Cahn fluids

verfasst von: Junxiang Yang, Jianjun Chen, Zhijun Tan

Erschienen in: Engineering with Computers | Ausgabe 6/2022

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Abstract

Herein, we construct efficient linear, totally decoupled, and energy dissipative schemes for two-phase incompressible conservative Allen–Cahn (CAC) fluid model. The binary CAC model has good potential in simulating fluid flow with interface because of the following merits: (i) mass conservation is satisfied, (ii) interfacial position can be easily captured. Comparing with the well-known fourth-order Cahn–Hilliard (CH) equation, the CAC equation is easy to solve since its second-order property. The scalar auxiliary variable (SAV)-type methods provide practical approach to develop linearly energy-stable schemes for phase-field problems. A variant of SAV approach considered in this work not only leads to accurate schemes for CAC fluid system, but also achieves highly efficient calculation. In each time step, only several linear and decoupled equations need to be computed. The linear multigrid algorithm is adopted to accelerate convergence. The unique solvability, modified energy dissipation law, and mass conservation in time-discretized version are analytically proved. Extensive numerical experiments are performed to validate the superior performance of the proposed methods.
Vorheriger Artikel Size-controlled cross-scale robust topology optimization based on adaptive subinterval dimension-wise method considering interval uncertainties
Nächster Artikel Divergence-free meshless local Petrov–Galerkin method for Stokes flow

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Metadaten
Titel
Highly efficient variant of SAV approach for two-phase incompressible conservative Allen–Cahn fluids
verfasst von
Junxiang Yang
Jianjun Chen
Zhijun Tan
Publikationsdatum
23.02.2022
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 6/2022
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-022-01618-5

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