PRESSURE BOUNDARY CONDITIONS FOR A SEGREGATED APPROACH TO SOLVING INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

It has been well accepted that Diricklet and Neumann boundary conditions for Ike pressure Poisson equation give the same solution. The purpose of this article is to reveal that the above statement is computationally acceptable but is not theoretically correct. Analytic proof as well as computational...

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Bibliographic Details
Published inNumerical heat transfer. Part B, Fundamentals Vol. 34; no. 4; pp. 457 - 467
Main Authors Sheu, Tony W. H., Wang, Morten M. T., Tsai, S. F.
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Taylor & Francis Group 01.12.1998
Taylor & Francis
Subjects
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Finite element method
Neumann problem
Computational fluid dynamics
Digital simulation
Boundary conditions
Poisson equation
Flow pattern
Incompressible fluid
Viscous fluids
Numerical convergence
Navier-Stokes equations
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Summary:It has been well accepted that Diricklet and Neumann boundary conditions for Ike pressure Poisson equation give the same solution. The purpose of this article is to reveal that the above statement is computationally acceptable but is not theoretically correct. Analytic proof as well as computational evidences are presented through examples in support of our observation. In this work we address that the mixed finite-element formulation for solving incompressible Navier-Stokes equations in primitive variables is equivalent to the formulation that involves solving the pressure Poisson equation, subject to Neumann boundary conditions, Uerativety with the momentum equations provided the velocity field is classified as having divergence-free and conservative properties.
ISSN:1040-7790
1521-0626
DOI:10.1080/10407799808915068