Abstract
This paper considers the principles of algorithmic and software implementation of the software system NADRA 3D designed to analyze processes in three-dimensional multicomponent soil media. The principles of operation of NADRA 3D are described.
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P. Ya. Polubarinova, Theory of the Motion of Ground Water [in Russian], Nauka, Moscow (1977).
J. Bear, D. Zaslavsky, and S. Irmay, Physical and Mathematical Foundations of Water Filtration [Russian translation], Mir, Moscow (1971).
V. A. Florin, Principles of Soil Mechanics [in Russian], Vol. 1, Gosstroiizdat, Leningrad-Moscow (1959).
Yu. K. Zaretskii and V. N. Lombardo, Statics and Dynamics of Earth Dams [in Russian], Energoizdat, Moscow (1983).
N. K. Girinskii, “Some questions of dynamics of ground water,” Hydrogeology and Engineering Geology, No. 9, 93–102 (1947).
G. N. Kamenskii, Prospecting and Exploration of Groundwater [in Russian], Gosgeoizdat, M.-L. (1949).
I. V. Sergienko, V. V. Skopetskii, and V. S. Deineka, Mathematical Modeling and Investigation of Processes in Heterogeneous Media [in Russian], Naukova Dumka, Kiev (1991).
V. S. Deineka, I. V. Sergienko, and V. V. Skopetskii, Mathematical Models and Methods of Calculating Problems with Discontinuous Solutions [in Russian], Naukova Dumka, Kiev (1995).
V. S. Deineka, I. V. Sergienko, and V. V. Skopetskii, Models and Methods of Solving Problems with Conjugation Conditions [in Russian], Naukova Dumka, Kiev (1998).
V. S. Deineka and I. V. Sergienko, Models and Methods of Solving Problems in Heterogeneous Media [in Russian], Naukova Dumka, Kiev (2001).
I. V. Sergienko and V. S. Deineka, Optimal Conrol of Distributed Systems with Conjugation Conditions, Kluwer, New York (2005).
I. V. Sergienko and V. S. Deineka, “Problems with conjugation conditions and high-accuracy computational discretization algorithms,” Cybernetics and Systems Analysis, No. 6, 100–124 (1999).
I. V. Sergienko and V. S. Deineka, “Models with conjugation conditions and high-accuracy methods of their discretization,” Cybernetics and Systems Analysis, No. 1, 110–131 (2000).
I. V. Sergienko and V. S. Deineka, “Information technology for investigation of processes in multicomponent soil media and optimal control of their states,” Science and Innovations, No. 1, 34–50 (2005).
I. V. Sergienko, V. S. Deineka, N. A. Kalynyuk, and M. M. Radionov, “Automated system NADRA for investigation of processes in multicomponent media,” Prepr. V. M. Glushkov Cybernetics Institute, Nos. 2002-3 and 2002-4, Kiev (2002).
I. V. Sergienko, V. S. Deineka, A. N. Himich, et al., “Investigation of distributed systems with linked mass data with the help of a multiprocessor computer system,” Prepr. V. M. Glushkov Cybernetics Institute, No. 2005-1, Kiev (2005).
V. S. Deineka and N. A. Kalynyuk, “Numerical solution of the problem of spatial-plane liquid filtration in complex soil media,” Computer Mathematics, No. 2, 3–9 (2005).
L. Segerlind, Application of the Finite Element Method [Russian translation], Mir, Moscow (1979).
O. Zenkevich, Finite Element Method in Technique [in Russian], Mir, Moscow (1975).
V. V. Veshchunov, “The subsystem for storage and processing of data in the software system NADRA 3D,” Computer Mathematics, No. 3, 50–58 (2005).
V. V. Veshchunov and V. S. Deineka, “The subsystem of input and editing of information in the software system NADRA 3D,” Computer Mathematics, No. 1, 25–34 (2005).
A. George and J. Liu, Computer Solution of Large Sparse Positive Definite Systems [Russian translation], Mir, Moscow (1984).
F. Hill, Computer Graphics Using OpenGL [Russian translation], Piter, St. Petersburg (2002).
D. Knuth, The Art of Computer Programming [Russian translation], Vol. 1 (Fundamental Algorithms), Izdatel’sk. Dom “Viliams,” Moscow (2002).
A. V. Popov and A. N. Himich, “Parallel algorithm for solution of a system of linear algebraic equations with a symmetric banded matrix,” Computer Mathematics, No. 2, 52–59 (2005).
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 157–174, November–December 2006.
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Sergienko, I.V., Deineka, V.S. & Veshchunov, V.V. NADRA 3D information technology for analysis of processes in multicomponent soil media. Cybern Syst Anal 42, 901–916 (2006). https://doi.org/10.1007/s10559-006-0130-3
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DOI: https://doi.org/10.1007/s10559-006-0130-3