On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917775207825408 |
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| author | Artiano, Marco De Michele, Carlo Capuano, Francesco Coppola, Gennaro |
| author_facet | Artiano, Marco De Michele, Carlo Capuano, Francesco Coppola, Gennaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations Artiano, Marco De Michele, Carlo Capuano, Francesco Coppola, Gennaro Fluid Dynamics 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. |
| title | On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2409.08851 |