Numerical modeling demonstrates the impact of the coriolis force on compressible gas dynamics, highlighting critical conservation laws.
The paper considers the complete system of Navier-Stokes equations, which takes into account the compressibility of the gas and the dissipative effects of viscosity and thermal conductivity so that the general laws of conservation of mass, momentum and energy are satisfied. Due to the nonlinearity of this system, constructing its solutions is quite labor-intensive. As a consequence, a linearization procedure is used on the exact solution (homogeneous rest) of the complete system of Navier-Stokes equations, taking into account the forces of gravity and Coriolis.
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Bugaenko et al. (2025) studied this question.
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