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C. Gaspar, "Flow Modelling using Quadtrees and Multigrid Techniques", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 31-42, 1996. doi:10.4203/ccp.39.1.4

Abstract

The self-adaptive quadtree algorithm is applied to flow modelling and related problems. The algorithm generates a non-equidistant computational grid with multilevel local refinements and surprisingly low computational cost. On the resulting cell system, proper finite difference schemes can be defined which are simpler that the usual finite element discretisation. The structure of the cell system makes it possible to build up a natural multigrid technique for steady problems. The same grid is used also to perform a scattered data interpolation of the initial data (depth, transmissibility etc.) The procedure is illustrated through flow problems arising in lake modelling.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 39 ADVANCES IN FINITE ELEMENT TECHNOLOGY Edited by: B.H.V. Topping Paper I.4 Flow Modelling using Quadtrees and Multigrid Techniques C. Gaspar Department of Mathematics, Szechenyi Istvan College, Gyor, Hungary doi:10.4203/ccp.39.1.4 purchase the full-text of this paper Full Bibliographic Reference for this paper C. Gaspar, "Flow Modelling using Quadtrees and Multigrid Techniques", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 31-42, 1996. doi:10.4203/ccp.39.1.4 Abstract The self-adaptive quadtree algorithm is applied to flow modelling and related problems. The algorithm generates a non-equidistant computational grid with multilevel local refinements and surprisingly low computational cost. On the resulting cell system, proper finite difference schemes can be defined which are simpler that the usual finite element discretisation. The structure of the cell system makes it possible to build up a natural multigrid technique for steady problems. The same grid is used also to perform a scattered data interpolation of the initial data (depth, transmissibility etc.) The procedure is illustrated through flow problems arising in lake modelling. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £85 +P&P)
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