Explicit Runge–Kutta schemes for incompressible flow with improved energy-conservation properties
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hdl:2117/366867
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Data publicació2017-01
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Abstract
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. 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.
CitacióCapuano, F.; Coppola, G. Explicit Runge–Kutta schemes for incompressible flow with improved energy-conservation properties. "Journal of computational physics", 2017, vol. 328, p. 86-94.
ISSN0021-9991
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