TY - JOUR
T1 - A pseudo-transient Newton-Krylov-Schwarz method for incompressible Navier-Stokes equations with slip conditions for bifurcation analysis
AU - Hsu, Wen Lieh
AU - Hwang, Feng Nan
N1 - Publisher Copyright:
© 2020, International Press, Inc.. All rights reserved.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - domain decomposition method
KW - Incompressible Navier-Stokes equations
KW - Newton-Krylov-Schwarz algorithm
KW - pitchfork bifurcation analysis
KW - slip boundary conditions
UR - http://www.scopus.com/inward/record.url?scp=85204809050&partnerID=8YFLogxK
U2 - 10.4310/AMSA.2020.v5.n1.a2
DO - 10.4310/AMSA.2020.v5.n1.a2
M3 - 期刊論文
AN - SCOPUS:85204809050
SN - 2380-288X
VL - 5
SP - 41
EP - 61
JO - Annals of Mathematical Sciences and Applications
JF - Annals of Mathematical Sciences and Applications
IS - 1
ER -