MATHEMATICAL MODELING OF SHOCK-WAVE VISCOUS HEAT-CONDUCTING GAS FLOWS BASED ON THE ASYMPTOTIC MODEL
A. L. Adrianov
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. Вып.4. С. 10-26.
We model the interaction of a pressure discontinuity with a shear layer in viscous and non-viscous problem statements. The pressure discontinuity is represented schematically by a curvilinear surface of a strong gas dynamic discontinuity, which satisfies generalized zero- and first-order asymptotic relations accounting for viscosity and heat conduction. A time-independent analytical solution to the problem is obtained. One of particular solutions is compared with the corresponding numerical solution of complete Navier-Stokes equations. It is shown that explicit neglecting of this viscosity-heat conduction factor in the differential model in perturbed flow simulations may lead to a wrong result. The influence of the boundary effect on the viscosity-heat conduction factor is analyzed.Keywords: curvilinear pressure discontinuity, viscous heat-conducting perfect gas, shear layer, schematic representation of pressure discontinuity as a surface of strong gas dynamic discontinuity, generalized differential conditions (relationships) on curvilinear pressure discontinuity, Navier-Stokes equations, Reynolds number, asymptotic approach, boundary effect, additional differential constraint, vortexlb model, non-viscous solution, analytical solution.
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English
