Computational methods and algorithms

Moving of surfaces method which preserves spherical parts

A. S. Shvedov

Keldysh Applied Mathematics Institute, Academy of Sciences of the USSR

Abstract: It is necessary to find the location of boundaries for every time when one is computing a nonsteady problem of mathematical physics with moving boundaries. The boundaries are surfaces if solution depends on three space variables. Assume that a plot of one boundary is a part of sphere and all points of this plot move with identical velocities when $t=0$. Then during some time the plot will be a part of sphere. In this paper an algorithm is suggested of moving surfaces preserving spherical plots under indicated conditions.

UDC: 519.95

Received: 31.12.1989

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