Boundary integral/spectral element approaches to the Navier‐Stokes equations

J. M. Occhialini, G. P. Muldowney, J. J.L. Higdon

Research output: Contribution to journalArticlepeer-review


Numerical algorithms are presented which combine spectral expansions on elemental subdomains with boundary integral formulations for solving viscous flow problems. Three distinct algorithms are described. The first demonstrates the use of spectral elements for the classic boundary integral method for steady Stokes flow. The second extends this algorithm to include domain integrals for solution of the unsteady Navier‐Stokes equations. The third algorithm explores the use of boundary integrals as a means of consolidating uncoupled elemental solutions in a domain decomposition approach. Numerical results demonstrating high‐order convergence are presented in each case.

Original languageEnglish (US)
Pages (from-to)1361-1381
Number of pages21
JournalInternational Journal for Numerical Methods in Fluids
Issue number12
StatePublished - Dec 30 1992


  • Boundary integral
  • Navier‐Stokes
  • Spectral methods

ASJC Scopus subject areas

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


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