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A low-cost time-advancing strategy for energy-preserving turbulent simulations

Capuano, F. and Coppola, G. and Balarac, G. and Bae, H. J. and de Luca, L. (2014) A low-cost time-advancing strategy for energy-preserving turbulent simulations. In: Studying Turbulence Using Numerical Simulation Databases - XV. Stanford University , Stanford, CA, pp. 377-386.

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Energy-conserving discretizations are widely regarded as a fundamental requirement for high-fidelity simulations of turbulent flows. The skew-symmetric splitting of the non- linear term is a well-known approach to obtain semi-discrete conservation of energy in the inviscid limit. However, its computation is roughly twice as expensive as that 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 framework is presented to derive schemes with prescribed accuracy on both solution and energy conservation. Simulations of homogeneous isotropic turbulence show that, on equal results, the new procedure can be considerably faster than skew-symmetric-based techniques.

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Bae, H. J.0000-0001-6789-6209
Additional Information:The authors would like to thank Prof. Parviz Moin for fruitful discussions during the Summer Program. The authors acknowledge utilization of the Certainty cluster awarded by the National Science Foundation to CTR.
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Record Number:CaltechAUTHORS:20210325-145350953
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108563
Deposited By: Tony Diaz
Deposited On:30 Mar 2021 22:07
Last Modified:30 Mar 2021 22:07

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