Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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

A peer-reviewed article of this Preprint also exists.

Babovsky, H. Transition to the Fluid Dynamic Limit: Mathematical Models and Simulation Results. Fluids 2024, 9, 72. Babovsky, H. Transition to the Fluid Dynamic Limit: Mathematical Models and Simulation Results. Fluids 2024, 9, 72.

Abstract

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.

Keywords

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

Subject

Physical Sciences, Fluids and Plasmas Physics

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