Explicit Runge-Kutta schemes for incompressible flow with improved energy-conservation properties

JOURNAL OF COMPUTATIONAL PHYSICS

卷:328

Article

Capuano, F.¹  Coppola, G.¹  Randez, L.²  de Luca, L.¹ 

[1] Univ Napoli Federico II, DII, I-80125 Naples, Italy

[2] Univ Zaragoza, IUMA Dept Matemat Aplicada, E-50009 Zaragoza, Spain

关键词: Energy conservation;    Incompressible Navier-Stokes equations;    Runge-Kutta method;    Pseudo-symplecticity;    Turbulence simulations;   

DOI  :  10.1016/j.jcp.2016.10.040

来源: Elsevier

【 摘 要 】

The application of pseudo-symplectic Runge-Kutta methods to the incompressible Navier-Stokes equations is discussed in this work. In contrast to fully energy-conserving, implicit methods, these are explicit schemes of order pthat preserve kinetic energy to order q, with q > p. Use of explicit methods with improved energy-conservation properties is appealing for convection-dominated problems, especially in case of direct and large-eddy simulation of turbulent flows. A number of pseudo-symplectic methods are constructed for application to the incompressible Navier-Stokes equations and compared in terms of accuracy and efficiency by means of numerical simulations. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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