Explicit Runge–Kutta schemes for incompressible flow with improved energy-conservation properties
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 meth...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/366867 |
| Acceso en línea: | https://hdl.handle.net/2117/366867 https://dx.doi.org/10.1016/j.jcp.2016.10.040 |
| Access Level: | acceso abierto |
| Palabra clave: | Energy conservation Incompressible Navier–Stokes equations Runge–Kutta method Pseudo-symplecticity Turbulence simulations Àrees temàtiques de la UPC::Física::Física de fluids |
| Sumario: | 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. |
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