Study models temperature fields in incompressible fluids, highlighting computational efficiency.
This paper is considered the problem of a stationary shock wave propagation in incompressible viscous liquid with hollow glass microspheres modeled by a coating of constant thickness (incompressible viscoplastic medium) on the surface of the flowing cavities. Basic mathematical model of temperature field formation in the analyzed shock-wave two-phase medium with the temperature dependence of the mechanical properties of its phases has been developed. A hierarchy of simplified analogs of a basic mathematical model is proposed and theoretically substantiated the use of each of which allows for a significant reduction in computational costs when conducting a numerical experiment.
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Attetkov et al. (2026) studied this question.
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