Numerical solution of subsurface moisture transport problems

Journal of Mathematical Sciences - Tập 54 - Trang 824-831 - 1991
V. V. Lychman1, G. E. Mistetskii1
1Kiev University, Kiev

Tóm tắt

An algorithm is proposed for solving difference problems of subsurface hydromechanics by the alternating triangular method (ATM). For second, third, and mixed boundary-valued problems of subsurface moisture transport in the elastic regime, we use an improved ATM generalization scheme, which has been tested by the authors in application to the first boundary-value problem. The proposed algorithm can be applied to various problems of subsurface mass transport.

Tài liệu tham khảo

A. B. Kucherov, Alternating Triangular Iteration Method for Solving Difference Equations [in Russian], Abstract of Thesis, Moscow (1979). I. I. Lyashko and V. V. Lychman, “Solving mixed boundary-value problems of mathematical physics by the alternating triangular method,” in: Third Ukrainian Symp. on Differential and Integral Equations, 1–3 June 1982 (Abstracts of papers) [in Russian], Odessa (1982). P. Ya. Polubarinova-Kochina, Theory of Groundwater Motion [in Russian], Nauka, Moscow (1977). A. A. Samarskii, “An efficient algorithm for numerical solution of systems of differential and algebraic equations,” Zh. Vychisl. Mat. Mat. Fiz.,4, No. 3, 580–585 (1964). A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977). A. A. Samarskii and E. S. Nikolaev, Methods of Solution of Grid Equations [in Russian], Nauka, Moscow (1978).