Capuano, Francesco (2015) Development of high-fidelity numerical methods for turbulent flows simulation. [Tesi di dottorato]

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Item Type:	Tesi di dottorato
Lingua:	English
Title:	Development of high-fidelity numerical methods for turbulent flows simulation
Creators:	Creators Email Capuano, Francesco f.capuano@cira.it
Date:	31 March 2015
Number of Pages:	96
Institution:	Università degli Studi di Napoli Federico II
Department:	Ingegneria Industriale
Scuola di dottorato:	Ingegneria industriale
Dottorato:	Ingegneria aerospaziale, navale e della qualità
Ciclo di dottorato:	27
Coordinatore del Corso di dottorato:	nome email de Luca, Luigi deluca@unina.it
Tutor:	nome email de Luca, Luigi UNSPECIFIED Coppola, Gennaro UNSPECIFIED Schettino, Antonio UNSPECIFIED Borrelli, Salvatore UNSPECIFIED
Date:	31 March 2015
Number of Pages:	96
Uncontrolled Keywords:	turbulent flows; large-eddy simulation; direct numerical simulation; energy-preserving schemes; Runge-Kutta methods
Settori scientifico-disciplinari del MIUR:	Area 09 - Ingegneria industriale e dell'informazione > ING-IND/06 - Fluidodinamica
Date Deposited:	07 Apr 2015 14:17
Last Modified:	12 Oct 2015 07:41
URI:	http://www.fedoa.unina.it/id/eprint/10447
DOI:	10.6092/UNINA/FEDOA/10447

Abstract

Energy-conserving discretizations are widely regarded as a fundamental requirement for high-fidelity simulations of turbulent flows. A well-known approach to obtain semi-discrete conservation of energy in the inviscid limit is to employ the skew-symmetric splitting of the non-linear term. However, this approach has the drawback of being roughly twice as expensive as the computation of the divergence or advective forms alone. A novel time-advancement strategy that retains the conservation properties of skew-symmetric-based schemes at a reduced computational cost has been developed. This method is based on properly constructed Runge-Kutta schemes in which a different form (advective or divergence) for the convective term is adopted at each stage. A general theoretical framework has been developed to derive new schemes with prescribed accuracy on both solution and energy conservation. The technique has been first developed and fine-tuned on the Burgers' equation, and then applied to the incompressible Navier-Stokes equations. Simulations of homogeneous isotropic turbulence performed at the Center for Turbulence Research (CTR) in Stanford have demonstrated that the novel procedure provides the same robustness of the skew-symmetric form while halving the computational cost for the non-linear term.

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