Titre :
|
A second-order upwind least-squares scheme for incompressible flows on unstructured hydrid grids
|
Auteurs :
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M. Kobayashi ;
J. Pereira ;
J. Pereira
|
Type de document :
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article/chapitre/communication
|
Année de publication :
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1998
|
Format :
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p.39-60
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Langues:
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= Anglais
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Mots-clés:
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ECOULEMENT
;
SIMULATION
;
COMPRESSIBILITE
;
METHODE NUMERIQUE
|
Résumé :
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A finite-volume method for the solution of a scalar transport equation in a 2D incompressible fluid flow is presented. The 2D transport equation is solved in a computational domain divided into polygon triangles and quadrilaterals allowing the general use of hybrid structured/unstructured grids, Convection discretization is performed with a new second-order-accurate upwind least-squares scheme (ULSS), and the system of algebraic equations is solved either by the biconjugate gradient stabilized method (BI-CGSTAB) or by the generalized minimal residual method (GMRES). The program language C++ was selected in order to manipulate the mesh data structure easily. Numerical solutions obtained using several different existing convection discretization schemes are compared with analytical solutions of several 2D test cases. The evolution of the error norm slope, as a function of the mesh parameters, confirms that the ULSS scheme is second-order accurate to solve 2D scalar transport equations in hybrid structured/unstructured grids.
|
Source :
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Numerical heat transfer part B, vol 34, n°1
|