An explicit iterative scheme for 3D multicomponent heat conducting flow simulationстатья
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Аннотация:This paper presents the development and testing of time integration scheme for
the system of hydrodynamic equations of gas mixture. These equations take into account the
phenomena of multicomponent diffusion and heat transfer. The governing equation system is
discretized by the finite volume approach on three-dimensional unstructured grids. According
to the algorithm, computation of any single time step is split into the sequence of hyperbolic
and parabolic stages. The hyperbolic subtask is solved using the Godunov-type scheme. The
parabolic subtask is solved by the explicit iterative Chebyshev scheme, which is algorithmically
simple and does not involve tuning parameters.This stage addresses dissipative fluxes (viscosity,
multicomponent diffusion and thermal conductivity). The number of the explicit iterations
is determined by the convective time step and by the upper bound for the discrete diffusion
operator. The resulting scheme ensures the fulfillment of the conservation laws at the discrete
level. The computer code can be used in highly parallel computing for large-scale simulation.
The proposed approach is recommended for applied problems in which convective and dissipative
processes are in close interaction, particularly for problems of plasma physics and astrophysics.