Optimization problems for nonstationary wave processes
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We give a general formulation of the optimization problem for nonstationary hyperbolic systems. Gradient algorithms are used for a directed numerical search. The adjoint problem is obtained in general form in order to compute the gradient. We prove that the types and characteristics of the direct and adjoint problems are the same. We recommend the use of identical total count difference schemes to solve both problems.
KeywordsDifference Scheme Total Count Hyperbolic System Wave Process Gradient Algorithm
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- 1.G. A. Atanov and S. T. Voronin,Optimization of the Functioning of Hydroenergetic Equipment [in Russian], Kiev (1985).Google Scholar
- 2.G. A. Atanov, “The profile of the nozzle of a water cannon designed for maximal inflow velocity,”Teor. Prikl. Mekh., 23, 86–89 (1993).Google Scholar
- 3.G. A. Atanov, S. T. Voronin, and V. K. Tolstykh, “On the problem of identification of the parameters of open channels,”Vod. Resurs., No. 4, 69–78 (1986).Google Scholar
- 5.A. Miele, ed.,Theory of Optimal Aerodynamic Shapes [in Russian], Moscow (1969).Google Scholar
- 6.G. I. Marchuk,Methods of Computational Mathematics [in Russian], Moscow (1980).Google Scholar
- 7.A. G. Butkovskii,Theory of Optimal Control of Systems with Distributed Parameters [in Russian], Moscow (1965).Google Scholar
- 8.A. N. Kraiko,Variational Problems of Gas dynamics [in Russian], Moscow (1979).Google Scholar
- 9.G. A. Atanov and S. T. Voronin, “On a variational problem of optimal control of hydrotechnical equipment,”Izv. VUZov SSSR, Energetika, No. 11, 69–71 (1981).Google Scholar
- 10.G. A. Atanov, “An effective method of numerical solution of nonstationary equations of gas dynamics,” Preprint, UkrNIINTI, No. 1879Uk88 (1988).Google Scholar