Preconditioned Krylov subspace methods used in solving two-dimensional transient two-phase flows

DOI<1141::AID-FLD916>3.0.CO;2-G 10.1002/(SICI)1097-0363(19991215)31:7<1141::AID-FLD916>3.0.CO;2-GzbMath0964.76065OpenAlexW1991339811MaRDI QIDQ4953106

Randi Moe, Magnus Nordsveen

Publication date: 16 July 2001

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19991215)31:7<1141::aid-fld916>3.0.co;2-g

zbMATH Keywords

finite difference schemeGMRESLU factorizationILUTtwo-fluid modelKrylov subspace iterative methodsstaggered meshBi-CGSTABintermittent gas-liquid flowstwo-step semi-implicit time integration procedure

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Iterative numerical methods for linear systems (65F10) Liquid-gas two-phase flows, bubbly flows (76T10)

Uses Software

• FLUENT

Cites Work

• Preconditioned conjugate gradient methods for the Navier-Stokes equations
• A finite-volume/Newton method for a two-phase heat flow problem using primitive variables and collocated grids
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Separated flow models—I. Analysis of the averaged and local instantaneous formulations
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A Preconditioned Iterative Method for Saddlepoint Problems
• Transient simulation of 2D and 3D stratified and intermittent two-phase flows. Part I: Theory
• Transient simulation of 2–3D stratified and intermittent two‐phase flows. Part II: Applications
• ILUT: A dual threshold incomplete LU factorization
• Methods of conjugate gradients for solving linear systems