A pseudo-transient Newton-Krylov-Schwarz method for incompressible Navier-Stokes equations with slip conditions for bifurcation analysis

Wen Lieh Hsu, Feng Nan Hwang

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We develop a parallel pseudo-transient Newton-Krylov-Schwarz (Ψ-NKS) algorithm based on the Galerkin/least-squares finite element method for incompressible Navier-Stokes equations with slip boundary conditions. Many research works suggest that the slip condition can produce a more accurate numerical solution of fluid flow motion near the boundary for the case with a rough surface, porous media flows, and non-Newtonian flows. This study aims to investigate numerically how the slip condition affects the physical behavior of the fluid flows by using the Ψ-NKS algorithm, including the flow structure of the lid-driven cavity and the critical Reynolds number for the pitchfork bifurcation of sudden expansion flows.

原文???core.languages.en_GB???
頁(從 - 到)41-61
頁數21
期刊Annals of Mathematical Sciences and Applications
5
發行號1
DOIs
出版狀態已出版 - 2020

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