We discuss stabilization strategies for finite-difference approximations of the compressible Euler equations in generalized curvilinear coordinates that do not rely on explicit upwinding or filtering of the physical variables. Our approach rather relies on a skew-symmetric-like splitting of the convective derivatives, that guarantees preservation of kinetic energy in the semi-discrete, low-Mach-number limit. A locally conservative formulation allows efficient implementation and easy incorporation into existing compressible flow solvers. The validity of the approach is tested for benchmark flow cases, including the propagation of a cylindrical vortex, and the head-on collision of two vortex dipoles. The tests support high accuracy and superior stability over conventional central discretization of the convective derivatives. The potential use for DNS/LES of turbulent compressible flows in complex geometries is discussed. (C) 2011 Elsevier Inc. All rights reserved.

Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates / Pirozzoli, Sergio. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 230:8(2011), pp. 2997-3014. [10.1016/j.jcp.2011.01.001]

Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates

PIROZZOLI, Sergio
2011

Abstract

We discuss stabilization strategies for finite-difference approximations of the compressible Euler equations in generalized curvilinear coordinates that do not rely on explicit upwinding or filtering of the physical variables. Our approach rather relies on a skew-symmetric-like splitting of the convective derivatives, that guarantees preservation of kinetic energy in the semi-discrete, low-Mach-number limit. A locally conservative formulation allows efficient implementation and easy incorporation into existing compressible flow solvers. The validity of the approach is tested for benchmark flow cases, including the propagation of a cylindrical vortex, and the head-on collision of two vortex dipoles. The tests support high accuracy and superior stability over conventional central discretization of the convective derivatives. The potential use for DNS/LES of turbulent compressible flows in complex geometries is discussed. (C) 2011 Elsevier Inc. All rights reserved.
2011
compressible flows; finite difference schemes; split convective operators; energy conservation; generalized curvilinear coordinates
01 Pubblicazione su rivista::01a Articolo in rivista
Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates / Pirozzoli, Sergio. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 230:8(2011), pp. 2997-3014. [10.1016/j.jcp.2011.01.001]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/380844
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