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, and suggest that these schemes could be used to attain results comparable to traditional methods at a reduced computational cost.
Performance and error analysis of structure-preserving time-integration procedures for incompressible-flow simulations / DE MICHELE, Carlo; Artiano, Marco; Capuano, Francesco; Coppola, Gennaro. - (2023). (Intervento presentato al convegno ETMM 14. The 14th International ERCOFTAC symposium on engineering, turbulence, modelling and measurements tenutosi a Barcellona nel 6-8 settembre 2023).
Performance and error analysis of structure-preserving time-integration procedures for incompressible-flow simulations
Carlo De MichelePrimo
;Gennaro CoppolaUltimo
2023
Abstract
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, and suggest that these schemes could be used to attain results comparable to traditional methods at a reduced computational cost.File | Dimensione | Formato | |
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