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Title: A finite-volume gas-kinetic method for the solution of the Navier-Stokes equations
Authors : Righi, Marcello
Published in : The Aeronautical¬†Journal
Volume(Issue) : 117
Issue : 1191
Pages : 605
Pages to: 616
Publisher / Ed. Institution : Cambridge University Press
Issue Date: Jun-2013
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (publication)
Language : English
Subjects : Turbulence modelling; Gas-kinetic scheme; Compressible flow
Subject (DDC) : 530: Physics
Abstract: Gas-kinetic theory is also valid in the continuum regime: the Euler and Navier-Stokes equations can be obtained as projection of the Boltzmann equation on to the physical space (x,t). The numerical schemes derived from gas-kinetic theory are computationally more expensive than Navier-Stokes based ones, but offer advantages which have been attracting a growing level of attention: they can (i) accommodate discontinuities at cells interface, (ii) provide high-resolution fluxes, (iii) provide advantages in the simulation of turbulence, (iv) handle hypersonic and/or rarefied flows. This study extends the validation of gas-kinetic schemes investigating a few turbulent flow cases. At a slightly higher computational cost, gas-kinetic schemes provide results comparable to those obtained with well-validated Navier-Stokes schemes using the same turbulence model, grid and reconstruction order. In the case of shock-separated flows, the results obtained with the gas-kinetic scheme are even closer to experimental data. These findings are consistent with the idea that gas-kinetic theory is a physically more consistent framework for investigating the mechanics of fluids.
Further description : erworben im Rahmen der Schweizer Nationallizenzen (
Departement: School of Engineering
Organisational Unit: Institute of Mechanical Systems (IMES)
Publication type: Article in scientific journal
DOI : 10.21256/zhaw-4910
ISSN: 0001-9240
Appears in Collections:Publikationen School of Engineering

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