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Energy preserving turbulent simulations at a reduced computational cost Capuano, Francesco Coppola, Gennaro Universitat Politècnica de Catalunya. Departament de Mecànica de Fluids Universitat Politècnica de Catalunya. GReCEF- Grup de Recerca en Ciència i Enginyeria de Fluids Àrees temàtiques de la UPC::Física::Física de fluids Energy conservation Computational efficiency Skew-symmetric form Runge–Kutta Turbulent flows Energy-conserving discretizations are widely regarded as a fundamental requirement for high-fidelity simulations of turbulent flows. The skew-symmetric splitting of the nonlinear 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 the new procedure is effective and can be considerably faster than skew-symmetric-based techniques. Postprint (published version) 2015-10 Article Capuano, F.; Coppola, G. Energy preserving turbulent simulations at a reduced computational cost. "Journal of computational physics", Octubre 2015, vol. 298, p. 480-494. 0021-9991 https://hdl.handle.net/2117/366872 10.1016/j.jcp.2015.06.011 eng https://www.sciencedirect.com/science/article/pii/S0021999115003976?via%3Dihub http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain 15 p. application/pdf