Hidrológiai Közlöny 1994 (74. évfolyam)
4. szám - Gáspár Csaba–Józsa János–Simbierowicz, Pavel: Új szemléletmód a numerikus hidraulikában. II. Differenciasémák és multigrid módszerek egyenlőtlen hálókon
GÁSPÁR Cs. et al.: Új szemléletmód II . 211 Irodalom Ewing, R. E., Lazarov, R. D., Vassilevski, P. S. (1991): Local Refinement Techniques for Elliptic Problems on Cell-Centered Grids. I. Error Analysis. Math. Comp. Vol. 56. pp. 437-462. Gáspár, C. (1990): A Fast Multigrid Solution of Boundary Integrál Equations. Environmental Software. Vol. 5. No. 1. Gáspár Cs. (1991): Többhálós - multigrid - eljárással összekapcsolt perem-integrálegyenlet módszer, és annak szivárgáshidraulikai alkalmazása. Hidrológiai Közlöny, 1991. 5. sz. Gáspár, C., Simbierowicz, P. (1992): Difference Schemes in TreeStructured Multigrid Context. In: Proc. of the IX. Int. Conf. on Computational Methods in Water Resources. Vol. 1.: Numerical Methods in Water resources. (Ed. by T. F. Russel.) Computational Mechanics Publication - Elsevier Applied Science, Southampton, Boston, London, New York. Gáspár, C., (1992): A Multigrid-Based Boundary Element Method Without Integrál Equaitons. In: Proc. of the 13th. Int. Conf. on Boundary Element Method, Tulsa, Oklahoma, USA, 21-23 August, 1991. Gáspár Cs., Józsa J., Simbierowicz P.: Új szemléletmód a numerikus hidraulikában. I. Egyenlőtlen hálók: generálásuk, első alkalmazások. Hidrológiai Közlöny, 1994. 3. sz. Hackbusch, W. (1985): Multi-Grid Methods and Applications. Springer-Verlag, Berlin, Heidelberg, New York Tokyo. Oden, J. T., Reddy, J. N. (1976): Variational Methods in Theoretical Mechanics. Springer-Verlag, Berlin, Heidelberg, New York. Stüben, K., Trottenberg, U. (1984): Multigrid Methods: Fundamental Algorithms, Model Problem Analysis and Applications. GMDStudien Nr. 96. Birlinghoven. A kézirat beérkezett: 1992. augusztus 24. Közlésre elfogadva: 1994. április 5. New Approach in Numerical Hydraulics II. Difference Schemes and Multigrid Methods on Unequal Grids Gáspár, Cs. - Józsa, J. - Simbierowicz, R. Abstract: A növel approach to numerical hydraulics is presented in four succesive. These are entitled. I. Irregular grids, theirgeneration and first applications. II. Difference schemes and multigrid methods on irregular grids. III. Modeling wind induced currens in shallow lakes with the help of irregular grids. IV. Lagrangian modelling of flow- and transport processes with the help of irregular grids. The „növel approach"consists essentially of abandoning the equidistant finite-difference philosophy and relpacing it with the more generál QTgrid which provides irregular subdivision in space, isorthogonal, can begenerated in a flexible manner and isbased by the recursive, systematical subdivision of an initial square. The analysis can thus be focussed the substance. When using the QT-grids, the grid- and mátrix philosophy is replaced by graphs. An additional important feature of the new approach is the multigrid technique. Thanks to the „saving" attainef by compling QT-grids and the multigrid technique, to the high speed of computation and to the high degree of flexibility, the new approach is a competitive alteraative to the earliter methods. Keywords: numerical hydraulics, modelling flow, grid, graph, multigrid, computerized methods.
