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

详细信息    查看全文

• 作者：F. Capuano^a ; ^{francesco.capuano@unina.it" class="auth_mail" title="E-mail the corresponding author} ; G. Coppola^a ; L. Rá ; ndez^b ; L. de Luca^a
• 关键词：Energy conservation ; Incompressible Navier&ndash ; Stokes equations ; Runge&ndash ; Kutta method ; Pseudo-symplecticity ; Turbulence simulations
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：328
• 期：Complete
• 页码：86-94
• 全文大小：376 K

文摘

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 p that preserve kinetic energy to order q  , with q>p$q>p$. 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.