Method and system for solving finite element models using...

Details Method and system for solving finite element models using... Method and system for solving finite element models using...

G - Physics

01

V

G01V 3/00 (2006.01) G06T 17/05 (2011.01) G01V 11/00 (2006.01) G06T 17/20 (2006.01)

Patent

CA 2383711

Systems and methods for solving finite element models, wherein the matrix that governs the solution is modified by adjusting the weighting coefficients of the matrix so that the elements which lie on the diagonal of the matrix are non-negative and the elements which are off the diagonal are non-positive. In one embodiment, a system is discretized on a finite element mesh with the contribution of each node to the discretization being weighted based upon the direction of fluid flow across each element. The nodes which are upstream from the other nodes of the respective elements are weighted more heavily to cause the resulting matrix to be substantially diagonal. This matrix is solved using traditional techniques.

L'invention porte sur des systèmes et des procédés de résolution de modèles d'éléments finis, procédé selon lequel la matrice qui régit la solution est modifiée par l'ajustement des coefficients de pondération de la matrice de sorte que les éléments qui se lient sur la diagonale de la matrice sont non négatifs et les éléments qui sont en dehors de la diagonale sont non positifs. Selon une réalisation, un système est discrétisé sur un réseau d'éléments finis, la contribution de chaque noeud à la discrétisation étant pondérée en fonction du sens d'écoulement du fluide dans chaque élément. Les noeuds qui sont en amont des autres noeuds des éléments respectifs sont pondérés plus solidement de sorte que la matrice obtenue soit pratiquement une diagonale. Cette matrice est résolue par des techniques traditionnelles.

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