| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Relaxation-rate formula for the entropic lattice Boltzmann model |
| Weifeng Zhao(赵伟峰)1, Wen-An Yong(雍稳安)2 |
1 Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China;
2 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
|
|
|
|
Abstract A relaxation-rate formula is presented for the entropic lattice Boltzmann model (ELBM) – a discrete kinetic theory for hydrodynamics. The simple formula not only guarantees the discrete time H-theorem but also gives full consideration to the consistency with hydrodynamics. The relaxation rate calculated with the formula effectively characterizes the drastic changes of the flow fields. By using this formula, the computational cost of the ELBM is significantly reduced and the model now can be efficiently used for a broad range of applications including high Reynolds number flows.
|
Received: 21 June 2019
Revised: 09 August 2019
Accepted manuscript online:
|
|
PACS:
|
47.11.-j
|
(Computational methods in fluid dynamics)
|
| |
02.70.-c
|
(Computational techniques; simulations)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11471185, 11801030, and 11861131004). |
Corresponding Authors:
Wen-An Yong
E-mail: wayong@tsinghua.edu.cn
|
Cite this article:
Weifeng Zhao(赵伟峰), Wen-An Yong(雍稳安) Relaxation-rate formula for the entropic lattice Boltzmann model 2019 Chin. Phys. B 28 114701
|
| [1] |
Succi S 2001 The Lattice Boltzmann Equation for Fluid Dynamics, Beyond (Oxford:Oxford University Press)
|
| [2] |
Guo Z and Shu C 2013 Lattice Boltzmann Method and its Applications in Engineering (Singapore:Word Scientific Publishing Company)
|
| [3] |
Benzi R, Succi S and Vergassola M 1992 Phys. Rep. 222 145
|
| [4] |
Chen S and Doolen G D 1998 Ann. Rev. Fluid Mech. 30 329
|
| [5] |
Aidun C K and Clausen J R 2010 Ann. Rev. Fluid Mech. 42 439
|
| [6] |
Liang H, Chai Z and Shi B 2016 Acta Phys. Sin. 65 204701(in Chinese)
|
| [7] |
Li Y, Su T, Liang H and Xu J R 2018 Acta Phys. Sin. 67 224701(in Chinese)
|
| [8] |
Sun D K, Chai Z H, Li Q and Li G 2018 Chin. Phys. B 27 088105
|
| [9] |
Zhuo C and Sagaut P 2017 Phys. Rev. E 95 063301
|
| [10] |
Ansumali S and Karlin I V 2000 Phys. Rev. E 62 7999
|
| [11] |
Boghosian B M, Yepez J, Coveney P V and Wagner A 2001 Phil. Trans. R. Soc. Lond. A 457 2007
|
| [12] |
Karlin I V, Gorban A N, Succi S and Boffi V 1998 Phys. Rev. Lett. 81 6
|
| [13] |
Karlin I V, Ferrante A and Öttinger H C 1999 Europhys. Lett. 47 182
|
| [14] |
Ansumali S and Karlin I V 2002 Phys. Rev. E 65 056312
|
| [15] |
Ansumali S and Karlin I V 2002 J. Stat. Phys. 107 291
|
| [16] |
Ansumali S, Karlin I V and Öttinger H C 2003 Europhys. Lett. 63 798
|
| [17] |
Boghosian B M, Love P J and Yepez J 2004 Phil. Trans. R. Soc. Lond. A 362 1691
|
| [18] |
Chikatamarla S S, Ansumali S and Karlin I V 2006 Phys. Rev. Lett. 97 010201
|
| [19] |
Keating B, Vahala G, Yepez J, Soe M and Vahala L 2007 Phys. Rev. E 75 036712
|
| [20] |
Karlin I V, Bösch F and Chikatamarla S S 2014 Phys. Rev. E 90 031302(R)
|
| [21] |
Atif M, Kolluru P K, Thantanapally C and Ansumali S 2017 Phys. Rev. Lett. 119 240602
|
| [22] |
Chikatamarla S S, Frouzakis C E, Karlin I V, Tomboulides A G, Boulouchos K B 2010 J. Fluid Mech. 656 298
|
| [23] |
Dorschner B, B" osch F, Chikatamarla S S, Boulouchos K and Karlin I V 2016 J. Fluid Mech. 801 623
|
| [24] |
Moqaddam A M, Chikatamarla S S and Karlin I V 2016 Phys. Fluids 28 022106
|
| [25] |
Moqaddam A M, Chikatamarla S S and Karlin I V 2015 Phys. Rev. E 92 023308
|
| [26] |
Wöhrwag M, Semprebon C, Moqaddam A M, Karlin I V and Kusumaatmaja H 2018 Phys. Rev. Lett. 120 234501
|
| [27] |
Frapolli N, Chikatamarla S S and Karlin I V 2015 Phys. Rev. E 92 061301(R)
|
| [28] |
Dorschner B, Bösch F and Karlin I V 2018 Phys. Rev. Lett. 121 130602
|
| [29] |
Atif M, Namburi M and Ansumali S 2018 Phys. Rev. E 98 053311
|
| [30] |
Tosi F, Ubertini S, Succi S and Karlin I V 2007 J. Sci. Comput. 30 369
|
| [31] |
Brownlee R A, Gorban A N and Levesley J 2007 Phys. Rev. E 75 036711
|
| [32] |
Qian Y H, d'Humiéres D and Lallemand P 1992 Europhys. Lett. 17 479
|
| [33] |
Minion M L and Brown D L 1997 J. Comput. Phys. 138 734
|
| [34] |
A Mazloomi M, Chikatamarla S S and Karlin I V 2015 Phys. Rev. Lett. 114 174502
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
