Application of shifted lattice model to 3D compressible lattice Boltzmann method
Hao-Yu Huang(黄好雨)1, Ke Jin(金科)1,4, Kai Li(李凯)1,4, and Xiao-Jing Zheng(郑晓静)2,3,†
1 School of Aerospace Science and Technology, Xidian University, Xi'an 710071, China; 2 School of Mechano-Electronic Engineering, Xidian University, Xi'an 710071, China; 3 Shaanxi Key Laboratory of Space Extreme Detection, Xi'an 710071, China; 4 Key Laboratory of Equipment Efficiency in Extreme Environment, Ministry of Education, Xi'an 710071, China
Abstract An additional potential energy distribution function is introduced on the basis of previous D3Q25 model, and the equilibrium distribution function of D3Q25 is obtained by spherical function. A novel three-dimensional (3D) shifted lattice model is proposed, therefore a shifted lattice model is introduced into D3Q25. Under the finite volume scheme, several typical compressible calculation examples are used to verify whether the numerical stability of the D3Q25 model can be improved by adding the shifted lattice model. The simulation results show that the numerical stability is indeed improved after adding the shifted lattice model.
Fund: Project supported by the Youth Program of the National Natural Science Foundation of China (Grant Nos. 11972272, 12072246, and 12202331), the National Key Project, China (Grant No. GJXM92579), and the Natural Science Basic Research Program of Shaanxi Province, China (Program No. 2022JQ-028).
Hao-Yu Huang(黄好雨), Ke Jin(金科), Kai Li(李凯), and Xiao-Jing Zheng(郑晓静) Application of shifted lattice model to 3D compressible lattice Boltzmann method 2023 Chin. Phys. B 32 094701
[1] Koelman J M V A 2002 Europhys. Lett.15 603 [2] Succi S 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (New Y ork: Oxford University Press) [3] Chen S and Doolen G D 1998 Annu. Rev. Fluid Mech.30 329 [4] Xing J T 2021 Acta Mechanica Sinica37 1659 [5] Guo R Q, Chen X P, Wan Z H, Hu H B and Cui S 2022 Acta Mechanica Sinica38 321358 [6] Lim C Y, Shu C, Niu X D and Chew Y T 2002 Phys. Fluids14 2299 [7] Zhuo C and Zhong C 2013 Phys. Rev. E88 053311 [8] Yu H, Girimaji S S and Luo L S 2005 Phys. Rev. E71 016708 [9] Wang G, Wan D, Peng C and Wang L 2019 Chem. Eng. Sci.201 201 [10] Zheng H W, Shu C and Chew Y T 2006 J. Comput. Phys.218 353 [11] Huang H, Huang J J, Lu X Y and Michael C S 2013 Int. J. Mod. Phys. C24 1350021 [12] Afrouzi H H, Ahmadian M, Hosseini M, Arasteh H, Toghraie D and Rostami S 2020 Comput. Meth. Prog. Bio.187 105312 [13] Zhong C W, Xie J F, Zhuo C S, Xiong S W and Yin D C 2009 Chin. Phys. B18 4083 [14] Zhuo C, Zhong C and Cao J 2012 Phys. Rev. E85 046703 [15] He X, Chen S and Doolen G D 1998 J. Comput. Phys.146 282 [16] Guo Z, Zheng C, Shi B and Zhao T 2007 Phys. Rev. E75 036704 [17] Li Q, He Y L, Wang Y and Tao W Q 2007 Phys. Rev. E76 056705 [18] Li K and Zhong C 2015 Int. J. Numer. Methods Fluids77 334 [19] Kataoka T and Tsutahara M 2004 Phys. Rev. E69 056702 [20] Chen Y, Ohashi H and Akiyama M 1994 Phys. Rev. E50 2776 [21] Watari M and Tsutahara 2003 Phys. Rev. E67 036306 [22] Li Q, He Y L, Wang Y and Tang G H 2009 Phys. Lett. A373 2101 [23] Qiu R F, You Y C, Zhu C X, Chen R Q and Zhu J F 2017 Pramana-J. Phys.89 1 [24] Huang J, Xu F, Valliéres M, Michel D, Feng D H, Qian Y H and Fryxell B 1997 Int. J. Mod. Phys. C8 827 [25] Sun C 1998 Phys. Rev. E58 7283 [26] Sun C 2000 Phys. Rev. E61 2645 [27] Sun C and Hsu A T 2003 Phys. Rev. E68 016303 [28] Chopard B, Pham V T and Lefevre L 2013 Comput. Fluids88 225 [29] Hedjripour A H, Callaghan D P and Baldock T E 2016 J. Hydraul. Res.54 371 [30] Frapolli N, Chikatamarla S S and Karlin I V 2016 Phys. Rev. Lett.117 010604 [31] Saadat M H, Bösch F and Karlin I V 2019 Phys. Rev. E99 013306 [32] Reider M B and Sterling J D 1995 Comput. Fluids24 459 [33] Peng G, Xi H, Duncan C and Chou S H 1998 Phys. Rev. E58 R4124 [34] Peng G, Xi H, Duncan C and Chou S H 1999 Phys. Rev. E59 4675 [35] Guo Z L, Zheng C G and Shi B C 2002 Chin. Phys.11 366 [36] Chen F, Xu A G, Zhang G C, Gan Y B, Cheng T and Li Y J 2009 Commun. Theor. Phys.52 681 [37] Leung R C K, So R M C, Kam E W S and Li X M 2006 7th AIAA Aeroacoustics Conference 2574 [38] Van L B 1979 J. Comput. Phys.32 101 [39] Li K and Zhong C W 2015 Chin. Phys. B24 050501 [40] Fu X, Sheng Y W and Xiao G D 2022 Acta Mech. Sin.38 322151 (in Chinese) [41] Van Albada G D, Van Leer B and Roberts Jr W W 1982 Astron. Astrophys.108 76 [42] http://amroc.sourceforge.net/examples/euler/3d/html/box3dtextunderscore_c.htm. [43] Carter J E 1972 Nasa Langley Research center TR R-385
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.