
Accession Number : ADA114679
Title : A Rapid and Accurate Solution for the Poisson Equation with Neumann Boundary Conditions on General Domains.
Descriptive Note : Technical memo.,
Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB
Personal Author(s) : Abdallah,S
PDF Url : ADA114679
Report Date : 17 Dec 1981
Pagination or Media Count : 26
Abstract : This memorandum presents a rapid and accurate solution for the Poisson equation with Neumann boundary conditions on general domains. The streamlike function formulation is used to obtain two modified Poisson equations with Dirichlet boundary conditions. The first equation is solved for the flux components of the dependent variable, and are used in calculating Dirichlet boundary conditions for the second Poisson equation. Two integral constraints are to be satisfied in the present formulation. The first constraint is a consequence of Green's first integral theorem and the second constraint is a result of the present analysis. A new procedure is implemented in the boundary conditions to satisfy the second integral constraint. This technique is applied to calculate the static pressure from a Poisson equation with Neumann boundary conditions in the solution of NavierStokes equations (velocity pressure formulation). Numerical results for the incompressible viscous flow in a driven cavity are presented and compared with the available numerical results in the literature. (Author)
Descriptors : *Poisson equation, *Navier Stokes equations, *Dirichlet integral, *Viscous flow, Boundary value problems, Accuracy, Static pressure, Velocity, Integrated systems, Incompressible flow, Cavities
Subject Categories : Numerical Mathematics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE