On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations
| Autor: | Artiano, Marco, De Michele, Carlo, Capuano, Francesco, Coppola, Gennaro |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | The effects of kinetic-energy preservation errors due to Runge-Kutta (RK) temporal integrators have been analyzed for the case of large-eddy simulations of incompressible turbulent channel flow. Simulations have been run using the open-source solver Xcompact3D with an implicit spectral vanishing viscosity model and a variety of temporal Runge-Kutta integrators. Explicit pseudo-symplectic schemes, with improved energy preservation properties, have been compared to standard RK methods. The results show a marked decrease in the temporal error for higher-order pseudo-symplectic methods; on the other hand, an analysis of the energy spectra indicates that the dissipation introduced by the commonly used three-stage RK scheme can lead to significant distortion of the energy distribution within the inertial range. A cost-vs-accuracy analysis suggests that pseudo-symplectic schemes could be used to attain results comparable to traditional methods at a reduced computational cost. Comment: 13 pages, 11 figures. F.C. and G.C. contributed equally to this work |
| Databáze: | arXiv |
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