A finite-volume gas-kinetic method for the solution of the Navier-Stokes equations

Righi, Marcello

Publication type:	Conference paper
Type of review:	Not specified
Title:	A finite-volume gas-kinetic method for the solution of the Navier-Stokes equations
Authors:	Righi, Marcello
Proceedings:	Proceedings of the RAeS Applied Aerodynamics Conference
Conference details:	RAeS Applied Aerodynamics Conference, Bristol, United Kingdom, 17-19 July 2012
Issue Date:	2012
Publisher / Ed. Institution:	Royal Aeronautical Society
Publisher / Ed. Institution:	London
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.
URI:	https://digitalcollection.zhaw.ch/handle/11475/13587
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Mechanical Systems (IMES)
Appears in collections:	Publikationen School of Engineering

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Righi, M. (2012). A finite-volume gas-kinetic method for the solution of the Navier-Stokes equations. Proceedings of the RAeS Applied Aerodynamics Conference.

Righi, M. (2012) ‘A finite-volume gas-kinetic method for the solution of the Navier-Stokes equations’, in Proceedings of the RAeS Applied Aerodynamics Conference. London: Royal Aeronautical Society.

M. Righi, “A finite-volume gas-kinetic method for the solution of the Navier-Stokes equations,” in Proceedings of the RAeS Applied Aerodynamics Conference, 2012.

RIGHI, Marcello, 2012. A finite-volume gas-kinetic method for the solution of the Navier-Stokes equations. In: Proceedings of the RAeS Applied Aerodynamics Conference. Conference paper. London: Royal Aeronautical Society. 2012

Righi, Marcello. 2012. “A Finite-Volume Gas-Kinetic Method for the Solution of the Navier-Stokes Equations.” Conference paper. In Proceedings of the RAeS Applied Aerodynamics Conference. London: Royal Aeronautical Society.

Righi, Marcello. “A Finite-Volume Gas-Kinetic Method for the Solution of the Navier-Stokes Equations.” Proceedings of the RAeS Applied Aerodynamics Conference, Royal Aeronautical Society, 2012.