Highly energy-conservative finite difference method for the cylindrical coordinate system

Koji Fukagata, Nobuhide Kasagi

Research output: Contribution to journalArticle

96 Citations (Scopus)

Abstract

A highly energy-conservative second-order-accurate finite difference method for the cylindrical coordinate system is developed. It is rigorously proved that energy conservation in discretized space is satisfied when appropriate interpolation schemes are used. This argument holds not only for an unequally spaced mesh but also for an equally spaced mesh on cylindrical coordinates but not on Cartesian coordinates. Numerical tests are undertaken for an inviscid flow with various schemes, and it turns out that the proposed scheme offers a superior energy-conservation property and greater stability than the intuitive and previously proposed methods, for both equally spaced and unequally spaced meshes.

Original languageEnglish
Pages (from-to)478-498
Number of pages21
JournalJournal of Computational Physics
Volume181
Issue number2
DOIs
Publication statusPublished - 2002 Sep 20
Externally publishedYes

Keywords

  • Advection
  • Body force
  • Cylindrical coordinate system
  • Energy conservation
  • Finite difference method
  • Incompressible flow
  • Pipe flow
  • Singularity

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Highly energy-conservative finite difference method for the cylindrical coordinate system'. Together they form a unique fingerprint.

  • Cite this