Simulation in primitive variables of incompressible flow with pressure Neumann condition

Julio R. Claeyssen, Rodrigo B. Platte, Elba Bravo

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


A velocity-pressure algorithm, in primitive variables and finite differences, is developed for incompressible viscous flow with a Neumann pressure boundary condition. The pressure field is initialized by least-squares and updated from the Poisson equation in a direct weighted manner. Simulations with the cavity problem were made for several Reynolds numbers. The expected displacement of the central vortex was obtained, as well as the development of secondary and tertiary eddies.

Original languageEnglish (US)
Pages (from-to)1009-1026
Number of pages18
JournalInternational Journal for Numerical Methods in Fluids
Issue number8
StatePublished - Aug 1999
Externally publishedYes


  • Incompressible flow
  • Primitive variables
  • Velocity-pressure algorithm

ASJC Scopus subject areas

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


Dive into the research topics of 'Simulation in primitive variables of incompressible flow with pressure Neumann condition'. Together they form a unique fingerprint.

Cite this