Abstract
Here we work with the RANS equations describing the non-stationary viscous compressible fluid flow. We focus on the numerical simulation of the flow through the porous media, characterized by the loss of momentum. Further we simulate the flow through the set of diffusible barriers. Here we analyze the modification of the Riemann problem with one-side initial condition, complemented with the Darcy’s law and added inertial loss. We show the computational results obtained with the own-developed code for the solution of the compressible gas flow.
Highlights
The physical theory of the compressible fluid motion is based on the principles of conservation laws of mass, momentum, and energy
The mathematical equations describing these fundamental conservation laws form a system of partial differential equations
We focus on the flow through the porous media and throug the diffusible barriers
Summary
The physical theory of the compressible fluid motion is based on the principles of conservation laws of mass, momentum, and energy. We choose the well-known finite volume method to discretize the analytical problem, represented by the system of the equations in generalized (integral) form. To apply this method we split the area of the interest into the elements, and we construct a piecewise constant solution in time. We decided to use the analysis of the exact solution for the discretization of the fluxes through the boundary edges/faces and on the edges/faces simulating the diffusible barrier, as was shown in [1]. We construct own algorithm for the solution of the boundary problem at the diffusible barrier, and we use it in the numerical examples
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