SIMPLIFIED CONTROL-VOLUME FINITE-ELEMENT METHOD

Localized vector algebra treatment of nonorthogonality is applied to two-dimensional quadrilateral control volumes using Cartesian base vectors in a primitive variable formulation of the Navier-Stokes equations for steady incompressible laminar flow. WUh optional grid-aligned, locally analytic inter...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Fundamentals, 1996-09, Vol.30 (2), p.179-194
Main Authors: Harms, Thomas M., von Backström, Theodor W., Plessis, J. Prieur du
Format: Article
Language:English
Subjects:
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
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Summary:Localized vector algebra treatment of nonorthogonality is applied to two-dimensional quadrilateral control volumes using Cartesian base vectors in a primitive variable formulation of the Navier-Stokes equations for steady incompressible laminar flow. WUh optional grid-aligned, locally analytic interpolation, a simplified control-volume finite-element scheme is presented. Discretization of source terms, determination of interface convection-diffusion fluxes, pressure correction factors, and geometric quantities are described briefly. Results of three test cases provide useful initial insights into the performance of the method. The conclusion is reached that a simple finite-volume-based approach to nonorthogonality has been achieved.
ISSN:1040-7790
1521-0626
DOI:10.1080/10407799608915078