Marco Artiano, Carlo De Michele, Francesco Capuano, Gennaro Coppola
{"title":"关于不可压缩流模拟的标准和动能保存时间积分法的性能","authors":"Marco Artiano, Carlo De Michele, Francesco Capuano, Gennaro Coppola","doi":"arxiv-2409.08851","DOIUrl":null,"url":null,"abstract":"The effects of kinetic-energy preservation errors due to Runge-Kutta (RK)\ntemporal integrators have been analyzed for the case of large-eddy simulations\nof incompressible turbulent channel flow. Simulations have been run using the\nopen-source solver Xcompact3D with an implicit spectral vanishing viscosity\nmodel and a variety of temporal Runge-Kutta integrators. Explicit\npseudo-symplectic schemes, with improved energy preservation properties, have\nbeen compared to standard RK methods. The results show a marked decrease in the\ntemporal error for higher-order pseudo-symplectic methods; on the other hand,\nan analysis of the energy spectra indicates that the dissipation introduced by\nthe commonly used three-stage RK scheme can lead to significant distortion of\nthe energy distribution within the inertial range. A cost-vs-accuracy analysis\nsuggests that pseudo-symplectic schemes could be used to attain results\ncomparable to traditional methods at a reduced computational cost.","PeriodicalId":501125,"journal":{"name":"arXiv - PHYS - Fluid Dynamics","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations\",\"authors\":\"Marco Artiano, Carlo De Michele, Francesco Capuano, Gennaro Coppola\",\"doi\":\"arxiv-2409.08851\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The effects of kinetic-energy preservation errors due to Runge-Kutta (RK)\\ntemporal integrators have been analyzed for the case of large-eddy simulations\\nof incompressible turbulent channel flow. Simulations have been run using the\\nopen-source solver Xcompact3D with an implicit spectral vanishing viscosity\\nmodel and a variety of temporal Runge-Kutta integrators. Explicit\\npseudo-symplectic schemes, with improved energy preservation properties, have\\nbeen compared to standard RK methods. The results show a marked decrease in the\\ntemporal error for higher-order pseudo-symplectic methods; on the other hand,\\nan analysis of the energy spectra indicates that the dissipation introduced by\\nthe commonly used three-stage RK scheme can lead to significant distortion of\\nthe energy distribution within the inertial range. A cost-vs-accuracy analysis\\nsuggests that pseudo-symplectic schemes could be used to attain results\\ncomparable to traditional methods at a reduced computational cost.\",\"PeriodicalId\":501125,\"journal\":{\"name\":\"arXiv - PHYS - Fluid Dynamics\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Fluid Dynamics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.08851\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Fluid Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08851","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations
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.