An Accurate Second-Order Approximation Factorization Method for Time-Dependent Incompressible Navier-Stokes Equations in Spherical Polar Coordinates

Weiming Sha, Koichi Nakabayashi, Hiromasa Ueda

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

A finite-difference method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in spherical polar coordinates is presented in detail. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. Further, the numerical method is tested by computing the spherical Couette flow between two concentric spheres with the inner one rotating. A comparison of the numerical solutions with available numerical results and experimental measurements is made. It is demonstrated that the numerical code is valid for solving three-dimensional, unsteady incompressible Navier-Stokes equations in spherical polar coordinates.

Original languageEnglish
Pages (from-to)47-66
Number of pages20
JournalJournal of Computational Physics
Volume142
Issue number1
DOIs
Publication statusPublished - 1998 May 1
Externally publishedYes

Keywords

  • Approximation factorization method
  • DNS
  • Finite-difference method
  • Incompressible Navier-Stokes equation
  • Spherical Couette flow
  • Spherical polar coordinate
  • Spiral TG vortex
  • Taylor-Görtler (TG) vortex
  • Velocity-pressure decoupling

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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