Abstract:
In the paper an explicit algorithm constructed by the analogy with the kinetically-consistent difference schemes is proposed to solve problems of three-phase filtration. The filtration model includes the energy equation and allows to account for possible sources of heat emission. Parallel implementation is directed to high performance computer systems with graphics accelerators. In the code the computational domain decomposition is optimized to obtain additional speed-up of calculations.
Citation:
A. A. Lyupa, D. N. Morozov, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “Three phase filtration modeling by explicit methods on hybrid computer systems”, Mat. Model., 26:4 (2014), 33–43; Math. Models Comput. Simul., 6:6 (2014), 551–559
This publication is cited in the following 10 articles:
Marina A. Trapeznikova, Natalia G. Churbanova, Antonina A. Chechina, Lecture Notes in Computational Science and Engineering, 141, Mesh Methods for Boundary-Value Problems and Applications, 2022, 515
A. I. Nikiforov, R. V. Sadovnikov, “Application of parallel programming methods for simulating flow diversion technologies on hybrid architecture computers”, Program. Comput. Softw., 45:1 (2019), 18–26
E. V. Shilnikov, O. N. Bozorov, “Chislennoe issledovanie tochnosti i ustoichivosti metoda relaksatsii potokov”, Preprinty IPM im. M. V. Keldysha, 2019, 139, 12 pp.
E. B. Soboleva, “A method for numerical simulation of haline convective flows in porous media as applied to geology”, Comput. Math. Math. Phys., 59:11 (2019), 1893–1903
E. V. Borovik, A. V. Goncharov, Yu. G. Rykov, D. N. Tulyakov, “O raschete dvumernykh szhimaemykh filtratsionnykh techenii v sootvetstvii s metodologiei «szhimaemykh linii toka»”, Preprinty IPM im. M. V. Keldysha, 2016, 064, 12 pp.
A. A. Lyupa, M. A. Trapeznikova, N. G. Churbanova, “Modelirovanie neizotermicheskoi mnogofaznoi filtratsii s primeneniem yavnykh raznostnykh skhem”, Preprinty IPM im. M. V. Keldysha, 2016, 103, 20 pp.
B. N. Chetverushkin, “Kinetic models for supercomputer simulation continuous mechanic problems”, Math. Models Comput. Simul., 7:6 (2015), 531–539
A. A. Lyupa, D. N. Morozov, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, S. V. Lemeshevsky, “Simulation of oil recovery processes with the employment of high-performance computer systems”, Math. Models Comput. Simul., 8:2 (2016), 129–134
B. N. Chetverushkin, V. I. Savelev, “Kineticheskie modeli i vysokoproizvoditelnye vychisleniya”, Preprinty IPM im. M. V. Keldysha, 2015, 079, 31 pp.
Rykov Yu.G., “On a Form of the System of Porous Media Flow Equations Convenient For the Construction of Parallel Algorithms”, Dokl. Math., 92:2 (2015), 606–608