A preconditioned implicit free-surface capture scheme for large density ratio on tetrahedral grids

Xin Lv, Qingping Zou, D. E. Reeve, Yong Zhao

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We present a three dimensional preconditioned implicit free-surface capture scheme on tetrahedral grids. The current scheme improves our recently reported method [10] in several aspects. Specifically, we modified the original eigensystem by applying a preconditioning matrix so that the new eigensystem is virtually independent of density ratio, which is typically large for practical two-phase problems. Further, we replaced the explicit multi-stage Runge-Kutta method by a fully implicit Euler integration scheme for the Navier-Stokes (NS) solver and the Volume of Fluids (VOF) equation is now solved with a second order Crank-Nicolson implicit scheme to reduce the numerical diffusion effect. The preconditioned restarted Generalized Minimal RESidual method (GMRES) is then employed to solve the resulting linear system. The validation studies show that with these modifications, the method has improved stability and accuracy when dealing with large density ratio two-phase problems.

Original languageEnglish
Pages (from-to)215-248
Number of pages34
JournalCommunications in Computational Physics
Volume11
Issue number1
DOIs
Publication statusPublished - Jan 1 2012

Keywords

  • Free surface
  • Implicit method
  • Level set
  • Restarted GMRES
  • Tetrahedral grid
  • Unstructured finite volume method
  • VOF

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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