Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows
The entropic lattice Boltzmann method for the simulation of compressible flows is studied in detail and new opportunities for extending operating range are explored. We address limitations on the maximum Mach number and temperature range allowed for a given lattice. Solutions to both these problems...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/3/370 |
| _version_ | 1798040125135912960 |
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| author | Nicolò Frapolli Shyam Chikatamarla Ilya Karlin |
| author_facet | Nicolò Frapolli Shyam Chikatamarla Ilya Karlin |
| author_sort | Nicolò Frapolli |
| collection | DOAJ |
| description | The entropic lattice Boltzmann method for the simulation of compressible flows is studied in detail and new opportunities for extending operating range are explored. We address limitations on the maximum Mach number and temperature range allowed for a given lattice. Solutions to both these problems are presented by modifying the original lattices without increasing the number of discrete velocities and without altering the numerical algorithm. In order to increase the Mach number, we employ shifted lattices while the magnitude of lattice speeds is increased in order to extend the temperature range. Accuracy and efficiency of the shifted lattices are demonstrated with simulations of the supersonic flow field around a diamond-shaped and NACA0012 airfoil, the subsonic, transonic, and supersonic flow field around the Busemann biplane, and the interaction of vortices with a planar shock wave. For the lattices with extended temperature range, the model is validated with the simulation of the Richtmyer−Meshkov instability. We also discuss some key ideas of how to reduce the number of discrete speeds in three-dimensional simulations by pruning of the higher-order lattices, and introduce a new construction of the corresponding guided equilibrium by entropy minimization. |
| first_indexed | 2024-04-11T22:03:12Z |
| format | Article |
| id | doaj.art-696f6d4aa3194ddebaa5f64e855074ab |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:03:12Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-696f6d4aa3194ddebaa5f64e855074ab2022-12-22T04:00:51ZengMDPI AGEntropy1099-43002020-03-0122337010.3390/e22030370e22030370Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible FlowsNicolò Frapolli0Shyam Chikatamarla1Ilya Karlin2Department of Mechanical and Process Engineering, ETH Zurich, CH-8092 Zurich, SwitzerlandDepartment of Mechanical and Process Engineering, ETH Zurich, CH-8092 Zurich, SwitzerlandDepartment of Mechanical and Process Engineering, ETH Zurich, CH-8092 Zurich, SwitzerlandThe entropic lattice Boltzmann method for the simulation of compressible flows is studied in detail and new opportunities for extending operating range are explored. We address limitations on the maximum Mach number and temperature range allowed for a given lattice. Solutions to both these problems are presented by modifying the original lattices without increasing the number of discrete velocities and without altering the numerical algorithm. In order to increase the Mach number, we employ shifted lattices while the magnitude of lattice speeds is increased in order to extend the temperature range. Accuracy and efficiency of the shifted lattices are demonstrated with simulations of the supersonic flow field around a diamond-shaped and NACA0012 airfoil, the subsonic, transonic, and supersonic flow field around the Busemann biplane, and the interaction of vortices with a planar shock wave. For the lattices with extended temperature range, the model is validated with the simulation of the Richtmyer−Meshkov instability. We also discuss some key ideas of how to reduce the number of discrete speeds in three-dimensional simulations by pruning of the higher-order lattices, and introduce a new construction of the corresponding guided equilibrium by entropy minimization.https://www.mdpi.com/1099-4300/22/3/370entropylattice boltzmann methodcompressible flownonlinear acousticsshock waves |
| spellingShingle | Nicolò Frapolli Shyam Chikatamarla Ilya Karlin Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows Entropy entropy lattice boltzmann method compressible flow nonlinear acoustics shock waves |
| title | Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows |
| title_full | Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows |
| title_fullStr | Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows |
| title_full_unstemmed | Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows |
| title_short | Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows |
| title_sort | theory analysis and applications of the entropic lattice boltzmann model for compressible flows |
| topic | entropy lattice boltzmann method compressible flow nonlinear acoustics shock waves |
| url | https://www.mdpi.com/1099-4300/22/3/370 |
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