A parallel solver for unsteady incompressible 3D Navier-Stokes equations

M. Garbey, Yu V. Vassilevski

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We describe some algorithms and software components that allow us to solve on parallel computers classical test cases for unsteady incompressible 3D Navier-Stokes equations. Our main focus is the design of robust and efficient parallel solvers for systems with singularly perturbed convection-reaction-diffusion and Laplace operators, which are important constituents of the Navier-Stokes solvers. The performance of the solvers on two parallel computers is examined.

Original languageEnglish (US)
Pages (from-to)363-389
Number of pages27
JournalParallel Computing
Issue number4
StatePublished - Mar 2001


  • Fictitious domain method
  • Finite differences
  • Navier-Stokes equations
  • Overlapping domain decomposition

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Networks and Communications
  • Computer Graphics and Computer-Aided Design
  • Artificial Intelligence


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