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Numerical approximation of the solution for 3D compressible viscous micropolar fluid model with cylindrical symmetry

We consider initial and homogeneous boundary problem for the model of nonstationary 3D flow of a compressible viscous and heat-conducting micropolar fluid with cylindrical symmetry in the Lagrangian setting. The fluid domain is the subset of R^3 bounded with two coaxial cylinders that present solid thermoinsulated walls. We assume that the fluid is in the thermodynamical sense perfect and polytropic, as well as that initial functions are radially dependent only. We apply the Faedo-Galerkin method to the problem with given initial functions. We construct and analyze the approximate numerical solution for this problem.

micropolar fluid ; cylindrical symmetry ; numerical solution

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