Numerical Simulation of Anisotropic Preheating Ablative Rayleigh-Taylor Instability
WANG Li-Feng1,4, YE Wen-Hua2,3,1, LI Ying-Jun4
1Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 1000882Department of Physics, Zhejiang University, Hangzhou 3100283Center for Applied Physics and Technology, Peking University, Beijing 1008714State Key Laboratory for GeoMechanics and Deep Underground Engineering,China University of Mining and Technology, Beijing 100083
Numerical Simulation of Anisotropic Preheating Ablative Rayleigh-Taylor Instability
WANG Li-Feng1,4, YE Wen-Hua2,3,1, LI Ying-Jun4
1Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 1000882Department of Physics, Zhejiang University, Hangzhou 3100283Center for Applied Physics and Technology, Peking University, Beijing 1008714State Key Laboratory for GeoMechanics and Deep Underground Engineering,China University of Mining and Technology, Beijing 100083
摘要The linear growth rate of the anisotropic preheating ablative Rayleigh-Taylor instability (ARTI) is studied by numerical simulations. The preheating model κ (T)=κSH [1+f(T)] is applied, where f(T) is the preheating function interpreting the preheating tongue effect in the cold plasma ahead of the ablative front. An arbitrary coefficient D is introduced in the energy equation to study the influence of transverse thermal conductivity on the growth of the ARTI. We find that enhancing diffusion in a plane transverse to the mean longitudinal flow can strongly reduce the growth of the instability. Numerical simulations exhibit a significant stabilization of the ablation front by improving the transverse thermal conduction. Our results are in general agreement with the theory analysis and numerical simulations by Masse [Phys. Rev. Lett. 98 (2007) 245001].
Abstract：The linear growth rate of the anisotropic preheating ablative Rayleigh-Taylor instability (ARTI) is studied by numerical simulations. The preheating model κ (T)=κSH [1+f(T)] is applied, where f(T) is the preheating function interpreting the preheating tongue effect in the cold plasma ahead of the ablative front. An arbitrary coefficient D is introduced in the energy equation to study the influence of transverse thermal conductivity on the growth of the ARTI. We find that enhancing diffusion in a plane transverse to the mean longitudinal flow can strongly reduce the growth of the instability. Numerical simulations exhibit a significant stabilization of the ablation front by improving the transverse thermal conduction. Our results are in general agreement with the theory analysis and numerical simulations by Masse [Phys. Rev. Lett. 98 (2007) 245001].
[1] Chandrasekhar S 1961 Hydrodynamic and Hydromagnetic Stability (London: Oxford University) chap X p 428 [2] Committee on High Energy Density Plasma Physics Plasma Science Committee Board on Physics and Astronomy Division on Engineering and Physical Sciences 2001 Frontiers in High Energy Density Physics (Washington DC: Academic) [3] Lindl J D, Amendt P and Berger R L, Glendinning S G, Glenzer S H, Haan S W, Kauffman R L, Landen O L and Suter L J 2004 Phys. Plasmas 11 339 [4] Lindl J D 1995 Phys. Plasmas 2 3933 [5] Nuckols J H, Wood L, Thiessen A and Zimmerman G B 1972 Nature 239 139 [6] Remington B A, Weber S V, Haan S W, Kilkenny J D, Glendinning S G, Wallace R J, Goldstein W H, Wilson B G and Nash J K 1993 Phys. Fluids B 5 2589 [7] Kilkenny J D, Glendinning S G, Haan S W, Hammel B A, Lindl J D, Knauer J P and Verdon C P 1994 Phys. Plasmas 1 1379 [8] Weber S V, Remington B A, Haan S W, Wilson B G and Nash J K 1994 Phys. Plasmas 1 3652 [9] Sanz J, Ram\'{\irez J and Ramis R 2002 Phys. Rev. Lett. 89 195002 [10] Glendinning S G, Dixit S N, Hammel B A, Kalantar D H, Key M H, Kilkenny J D, Knauer J P, Pennington D M, Remington B A, Wallace R J and Weber S V 1997 Phys. Rev. Lett. 78 3318 [11] Bodner S E 1974 Phys. Rev. Lett. 33 761 [12] Betti R, Goncharov V N, McCrory R L and Verdon C P 1998 Phys. Plasmas 5 1446 [13] Goncharov V N, Betti R, McCrory R L, Sorotokin P and Verdon C P 1996 Phys. Plasmas 3 1402 [14] Betti R, Goncharov V N, McCrory R L and Verdon C P 1996 Phys. Plasmas 3 2122 [15] Piriz A P, Sanz J and Ibanez L F 1997 Phys. Plasmas 4 1117 [16] Clavin P and Masse L 2004 Phys. Plasmas 11 690 [17] Sanz J, Masse L and Clavin P 2006 Phys. Plasmas 13 102702 [18] Masse L 2007 Phys. Rev. Lett. 98 245001 [19] Ye W H, Zhang W Y and He X T 2000 Acta Phys. Sin. 49 762 (in Chinese) [20] Ye W H et al 1998 Chin. J. Comput. Phys. 15 276 (in Chinese) [21] Ye W H, Zhang W Y and Chen G N 1998 High Power Laser and Particle Beams 10 403 (in Chinese) [22] Wang L F, Ye W H, Fan Z F, Xue C and Li Y J 2009 Chin. Phys. Lett. 26 074704 [23] Wang L F, Ye W H, Fan Z F, Li Y J, He X T and Yu M Y 2009 Europhys. Lett. 86 15002 [24] Wang L F, Ye W H and Li Y J 2008 Acta Phys. Sin. 57 3038 (in Chinese) [25] Ye W H, Zhang W Y and He X T 2002 Phys. Rev. E 65 57401 [26] Ye W H, Zhang W Y and Chen G N 1999 High Power Laser and Particle Beams 11 613 (in Chinese)
2010, Vol. 27 
