Patent
1998-02-12
2000-03-14
Teska, Kevin J.
39550023, G06G 748, G06G 1713
Patent
active
060383895
ABSTRACT:
A method modeling a physical process in a material environment. A system of modeling equations at the level of each of the grid cells of a grid pattern involves a number n of cells subdividing the environment. The model is achieved at a relatively low cost and within a reasonable calculating time in relation to the quality and the accuracy of the simulations obtained, mainly by reducing the size of the solution problem. To that effect, a Krylov space of dimension d, much smaller than the number n of grid cells, is used. This has the effect of reducing the volume of the solution operations. The method can be used for modeling of fluid flow in an underground reservoir of, for example, hydrocarbons.
REFERENCES:
patent: 5450568 (1995-09-01), Saji et al.
Printout from website http://dutita0.twi.tudelft.nl/isnas/report95-37/inaccnas.html; Domain decomposition for the incompressible Navier-Stokes equations: solving subdomain problems accurately and inaccurately; hand numbered pp. 1-8, 1995.
Krylov Subspace Methods: Theory, Algorithms, and Applications; Youcef Saad; pp. 24-41.
Pratical Aspects of Krylov subspace Iterative Methods In CFD; Thomas H. Pulliam; Stuart Rogers and Timothy Barth; Sep. 1995; pp. 21-1 to 21-11.
Masmoudi Mohamed
Rahon Daniel
Institut Francais du Pe'trole
Jones Hugh
Teska Kevin J.
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