Accuracy considerations for implementing velocity boundary condiditons in vorticity formulations

Autor: Ingber, M.W. Glass, J.S. Peery, J.H. Strickland, S.N. Kempka
Rok vydání: 1996
Předmět:
DOI: 10.2172/242701
Popis: A vorticity formulation is described that satisfies the velocity boundary conditions for the incompressible Navier-Stokes equations. Velocity boundary conditions are satisfied by determining the appropriate vortex sheets that must be created on the boundary. Typically, the vortex sheet strengths are determined by solving a set of linear equations that is over-specified. The over-specification arises because an integral constraint on the vortex sheets is imposed. Vortex sheets determined this way do not accurately satisfy both components of the velocity boundary conditions because over-specified systems do not have unique solutions. An integral collocation technique is applied to a generalized Helmholtz decomposition. This formulation implicitly satisfies an integral constraint that is more general that constraints typically used. Improvements in satisfying velocity boundary conditions are shown.
Databáze: OpenAIRE