Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport Properties
The paper presents the theoretical basis for the extension of the V<inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula>LES method, originally developed in recent works of the authors for incom...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/5/2/45 |
| _version_ | 1797570870728720384 |
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| author | Nikolai Kornev Jordan Denev Sina Samarbakhsh |
| author_facet | Nikolai Kornev Jordan Denev Sina Samarbakhsh |
| author_sort | Nikolai Kornev |
| collection | DOAJ |
| description | The paper presents the theoretical basis for the extension of the V<inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula>LES method, originally developed in recent works of the authors for incompressible flows, to flows with variable density and transport properties but without chemical reactions. The method is based on the combination of grid based and grid free computational particle techniques. Large scale motions are modelled on the grid whereas the fine scale ones are modelled by particles. The particles represent the fine scale vorticity, and scalar quantities like e.g., temperature, mass fractions of species, density and mixture fraction. Coupled system of equations is derived for large and fine scales transport. |
| first_indexed | 2024-03-10T20:32:33Z |
| format | Article |
| id | doaj.art-03aec5e8af1d4042acda2ead298b66fb |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T20:32:33Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-03aec5e8af1d4042acda2ead298b66fb2023-11-19T21:17:16ZengMDPI AGFluids2311-55212020-04-01524510.3390/fluids5020045Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport PropertiesNikolai Kornev0Jordan Denev1Sina Samarbakhsh2Chair of Modeling and Simulation, University of Rostock, 18051 Rostock, GermanySteinbuch Center for Computing, Department of Scientific Computing and Mathematics, Karlsruhe Institute of Technology, 76131 Karlsruhe, GermanyChair of Modeling and Simulation, University of Rostock, 18051 Rostock, GermanyThe paper presents the theoretical basis for the extension of the V<inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula>LES method, originally developed in recent works of the authors for incompressible flows, to flows with variable density and transport properties but without chemical reactions. The method is based on the combination of grid based and grid free computational particle techniques. Large scale motions are modelled on the grid whereas the fine scale ones are modelled by particles. The particles represent the fine scale vorticity, and scalar quantities like e.g., temperature, mass fractions of species, density and mixture fraction. Coupled system of equations is derived for large and fine scales transport.https://www.mdpi.com/2311-5521/5/2/45LESSubgrid modelmeshless methodcompressible flowsVortex Particle Method |
| spellingShingle | Nikolai Kornev Jordan Denev Sina Samarbakhsh Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport Properties Fluids LES Subgrid model meshless method compressible flows Vortex Particle Method |
| title | Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport Properties |
| title_full | Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport Properties |
| title_fullStr | Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport Properties |
| title_full_unstemmed | Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport Properties |
| title_short | Theoretical Background of the Hybrid V<i>π</i>LES Method for Flows with Variable Transport Properties |
| title_sort | theoretical background of the hybrid v i π i les method for flows with variable transport properties |
| topic | LES Subgrid model meshless method compressible flows Vortex Particle Method |
| url | https://www.mdpi.com/2311-5521/5/2/45 |
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