COMPARATIVE STUDY OF THE UNIFIED FINITE APPROACH EXPONENTIAL-TYPE SCHEME (UNIFAES) AND ITS APPLICATION TO NATURAL CONVECTION IN A POROUS CAVITY
Autor: | Jorge Llagostera, José Ricardo Figueiredo |
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Rok vydání: | 1999 |
Předmět: |
Numerical Analysis
Natural convection business.industry Upwind differencing scheme for convection Geometry Central differencing scheme Computational fluid dynamics Condensed Matter Physics Fluid transport Nusselt number Computer Science Applications Physics::Fluid Dynamics Mechanics of Materials Modeling and Simulation Neumann boundary condition Applied mathematics Boundary value problem business Mathematics |
Zdroj: | Numerical Heat Transfer, Part B: Fundamentals. 35:347-367 |
ISSN: | 1521-0626 1040-7790 |
DOI: | 10.1080/104077999275901 |
Popis: | This article describes the UNIFAES, Unified Finite Approach Exponential-type Scheme for convective-diffusive fluid transport equations, including the treatment of Neumann boundary conditions. To reduce the computing time, UNIFAES allows the use of Patankar's power-law approximation rule. The scheme is subjected to the Smith and Hutton test problem, where it is compared to central differencing, the exponential scheme, and the locally analytic differencing scheme (LOADS). Finally, the scheme is applied to the problem of natural convection within a square porous cavity heated from below, considering single-cell and multiple-cell solutions of this porous Benard-like convection problem. |
Databáze: | OpenAIRE |
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