Time‐dependent solutions of viscous incompressible flows in moving co‐ordinates

Moshe Rosenfeld, Dochan Kwak

Research output: Contribution to journalArticlepeer-review

Abstract

A time‐accurate solution method for the incompressible Navier‐Stokes equations in generalized moving coordinates is presented. A finite volume discretization method that satisfies the geometric conservation laws for time‐varying computational cells is used. The discrete equations are solved by a fractional step solution procedure. The solution is second‐order‐accurate in space and first‐order‐accurate in time. The pressure and the volume fluxes are chosen as the unknowns to facilitate the formulation of a consistent Poisson equation and thus to obtain a robust Poisson solver with favourable convergence properties. The method is validated by comparing the solutions with other numerical and experimental results. Good agreement is obtained in all cases.

Original languageEnglish
Pages (from-to)1311-1328
Number of pages18
JournalInternational Journal for Numerical Methods in Fluids
Volume13
Issue number10
DOIs
StatePublished - Dec 1991
Externally publishedYes

Keywords

  • Finite volume
  • Fractional step
  • Incompressible Navier‐Stokes
  • Moving co‐ordinate systems
  • Time‐dependent

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