Mathematical Modeling of the Influence of Hydrothermal Processes in the Water Reservoir

In this paper presents the mathematical model of hydrothermal processes in thermal power plant with different wind direction scenarios in the water reservoir, which is solved by the Navier - Stokes and temperature equations for an incompressible fluid in a stratified medium. Numerical algorithm based on the method of splitting by physical parameters. Three dimensional Poisson equation is solved with Fourier method by combination of tridiagonal matrix method (Thomas algorithm).

Authors:

• Alibek Issakhov

Keywords:

• thermal power plant
• hydrothermal process
• large eddy simulation
• water reservoir

References:

[1] Fletcher C.A. Computational Techniques for Fluid Dynamics. Vol 2:
Special Techniques for Differential Flow Categories, Berlin: Springer-
Verlag. 1988. p. 493.
[2] Roache P.J. Computational Fluid Dynamics, Albuquerque, NM:
Hermosa Publications. 1972. p. 446.
[3] Tolstykh, A.I. Compact difference scheme and their applications to fluid
dynamics problems. M.: Nauka. 1990. p. 230.
[4] Peyret, R., Taylor, D. Th. Computational Methods for Fluid Flow. New
York: Berlin: Springer-Verlag. 1983. p. 358.
[5] Yanenko, N.N. The Method of Fractional Steps. New York: Springer-
Verlag. In J.B.Bunch and D.J. Rose (eds.), Space Matrix Computations,
New York: Academics Press. 1979. p. 168.
[6] Lesieur M., Metais O., Comte P. Large eddy simulation of turbulence.
New York, Cambridge University Press, 2005. p. 219.
[7] Tannehill J.C., Anderson D.A., and Pletcher R.H. Computational Fluid
Mechanics and Heat Transfer. 2nd ed., New York: McGraw-Hill. 1997.
p. 816.
[8] Tennekes H., Lumley J.L. A first course in turbulence. The MIT Press.
1972. p. 390.
[9] Issakhov A. Large eddy simulation of turbulent mixing by using 3D
decomposition method Issue 4, J. Phys.: Conf. Ser. 318 042051. 2011.
[10] Zhumagulov B., Issakhov A. Parallel implementation of numerical
methods for solving turbulent flows. Vestnik NEA RK. - 2012, - Ôäû
1(43) - pp.12-24.
[11] Issakhov A. Parallel algorithm for numerical solution of threedimensional
Poisson equation. Proceedings of world academy of
science, engineering and technology, Issue 64 (2012), pp. 692-694