Transition to the Fluid Dynamic Limit: Mathematical Models and Simulation Results

Hans Babovsky

doi:10.20944/preprints202311.0457.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 7 November 2023 / Approved: 7 November 2023 / Online: 8 November 2023 (01:35:51 CET)

Numerical simulations of standard situations in the transition region from gas kinetics to fluid dynamics at small Mach numbers indicate a clear dependence of the simulation results on the underlying kinetic model (here: nonlinear and linearized Boltzmann collision operator vs. BGK relaxation model). We develop an improved mathematical framework (trace theory) to explain these differences. In particular we reveal certain deficiencies for the classical BKG system as well as for the standard Navier Stokes approach.

Fluid dynamic limit; kinetic models; closure relations; discrete velocity simulations

Physical Sciences, Fluids and Plasmas Physics

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Transition to the Fluid Dynamic Limit: Mathematical Models and Simulation Results

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