The governing mathematical model of turbulent flow in porous media in terms of time averaged macroscopic equations is presented. To solve the obtained set of equations using BDIM, all the equations have first to be transformed using velocity-vorticity formulation which, cosequently, separates the computational scheme into kinematic and kinetic computational parts. In the next step the differential equations are transformed into integral ones with the use of appropriate Green functions. After the discretization and obtaining a final matrix system, the existing computer code which was written for solving the classic fluid dynamics problems is completed by the newly developed numerical algorithm, which decribes the phenomena in porous media as well as the influence of turbulence. Some initial examples of numerical computations are presented.
B.03 Paper at an international scientific conference
COBISS.SI-ID: 13575958In the present paper a methodology for developing turbulence model in porous media is presented. The mathematical model bases on the classical Navier-Stokes equations for pure fluid flow, which are generally written on the microscopic level. To consider turbulence in porous media first modeling of turbulence (time variation) and then modeling of transport phenomena in porous media (space variation) has to be performed. The time averaging and space averaging have to be applied to the governing equations, where differentaveraging order lead to distinct sets of turbulence equations. For the numerical solution of the obtained set of equations the Boundary Domain Integral Method (BDIM) will be used which is also presented in the paper.
B.03 Paper at an international scientific conference
COBISS.SI-ID: 13456662Different mathematical models for turbulent natural convection in porous media are analyzed as well as available turbulence models. Numerical algorithm which is based on the boundary element method is used on different examples. The main advantages and disadvantages of the method in comparison to other methods are presented.
B.03 Paper at an international scientific conference
COBISS.SI-ID: 14237718