Fundamental solutions of the streamfunction–vorticity formulation of the Navier–Stokes equations

H. A. Rodriguez‐Prada, F. F. Pironti, A. E. Sáez

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

A new boundary element procedure is developed for the solution of the streamfunction–vorticity formulation of the Navier–Stokes equations in two dimensions. The differential equations are stated in their transient version and then discretized via finite differences with respect to time. In this discretization, the non‐linear inertial terms are evaluated in a previous time step, thus making the scheme explicit with respect to them. In the resulting discretized equations, fundamental solutions that take into account the coupling between the equations are developed by treating the non‐linear terms as in homogeneities. The resulting boundary integral equations are solved by the regular boundary element method, in which the singular points are placed outside the solution domain.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalInternational Journal for Numerical Methods in Fluids
Volume10
Issue number1
DOIs
StatePublished - Jan 5 1990
Externally publishedYes

Keywords

  • Fundamental solutions
  • Navier–Stokes equations
  • Regular boundary elements

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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