Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Equidistribution method for three-dimensional grid generation

Khakimzyanov G.S., Shokina N.Yu.

Institute of Computational Technologies (Novosibirsk)

In numerical solution of computational hydrodynamics problems the application of adaptive grids allows to receive minimum error of a numerical solution at the given amount of nodes. The equidistribution method for constructing three-dimensional motionless regular grids is considered in the present report. The grids are adapted as to the curvilinear boundaries of the domain as to the a priori given control function.

In three-dimensional case the equidistribution principle consists in the requirement of the constancy of the product of the mesh volume by the value of a priori given control function at the mesh. Using the general methodology, which is based on the equdistribution principle, the non-linear equations of elliptic type for the definition of the node coordinates inside the domain and on its boundaries are obtained.

Full Text in Russian: PDF (688 kb)
Note. Abstracts are published in author's edition

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