Computational methods and algorithms

Strongly implicit methods for calculation of spatial flows of gas in nozzles

G. S. Roslyakov, V. V. Fedorenko

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: A new modified strongly implicit method for numerical solving of the system of algebraic equations obtained at the symmetric approximation of a linear elliptical equation in partial derivatives with respect to three independent variables using a 19-point three-dimensional grid pattern is developed. On the basis of this method an algorithm of the calculation of three-dimensional nozzle gas flows is developed and implemented; the algorithm possesses a higher convergence rate as compared with similar numerical techniques. Gas flows in nozzles with various geometric parameters are studied; in particular, thrust characteristics of nozzles with rectangular exit section are investigated.

Received: 19.04.1999

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