CORRECTION OF A LAGRANGIAN COUNTABLE GRID USING IMPOSITION OF A DIFFERENTIABLE RELATIONS GRID ON NODES
A. I. Panov, I. G. Novikov, S. S. Sokolov
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. Вып.2. С. 27-34.
Conducting of complex gas-dynamic calculations in Lagrangian coordinates is impossible without use of special procedures respondent for maintenance of a reasonable countable grid without overlap. Countable cells correction is suggested to be carried out using imposition of a relations grid on nodes with relations assigned as inequalities with specified differentiable functions. Functions in inequalities are chosen so that impulse and impulse momentum of corresponding reaction force are equal to zero. It is shown that if imposed relations are not inconsistent such reaction forces may be found that not only provide all corresponding inequalities performance but also do not execute the work. Determination method of such forces is given in the paper.
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