Browse > Article

NUMERICAL SIMULATION OF SHOCK FOCUSING PHENOMENON BY CARTESIAN EMBEDDED BOUNDARY METHOD AND WAVE PROPAGATION ALGORITHM  

Jung, Y.G. (한국과학기술원 항공우주학과)
Chang, K.S. (한국과학기술원 항공우주학과)
Publication Information
Journal of computational fluids engineering / v.15, no.2, 2010 , pp. 14-20 More about this Journal
Abstract
Shock-focusing concave reflectors can have parabolic, circular or elliptic cross-sections. They produce effectively a very high pressure at the focusing point. In the past, many optical images have been obtained on shock focusing via experiments. Measurement of field variables is, however, difficult in the experiment. Using the wave propagation algorithm and the Cartesian embedded boundary method, we have successfully obtained numerical Schlieren images that appear very much like the experimental results. In addition, we obtained the detailed field variables such as pressure, velocity, density and vorticity in the unsteady domain. The present numerical results have made it possible to understand the shock focusing phenomenon in more detail than before.
Keywords
Shock Focusing; Wave Propagation Algorithm; Cartesian Embedded Boundary Method; Jet Ejection;
Citations & Related Records
연도 인용수 순위
  • Reference
1 1998, Forrer, H. and Jeltsch, R., "A high-order boundary treatment for Cartesian-grid methods," Journal of Computational Physics, Vol.140, pp.259-277.   DOI   ScienceOn
2 1997, Leveque, R.J., "Wave propagation Algorithms for multidimensional hyperbolic systems," Journal of Computational Physics, Vol.131, pp.327-353.   DOI   ScienceOn
3 http://www.amath.washington.edu/~rjl/clawpack.html.
4 1996, Quirk, J.J. and Karni, S., "On the dynamics of a shock-bubble interaction," JFM, Vol.318, pp.129-163.   DOI
5 1987, Milton, B.E., "The focusing of shock waves in two-dimensional and axi-symmetrical ducts," Gronig H (ed) Shock tubes and waves, Proc. 16th Int. Symposiumon Shock Tubes and Waves, VCH Verglagsgesellschaft, Germany.
6 2007, Skews, B.W. and Kleine, H., "Flow features resulting from shock wave impact on a cylindrical cavity," Journal of Fluid Mechanics, Vol.580, pp.481-493.   DOI
7 1990, Gronig, H., "Past, present and future of shock focusing research," Takayama K (ed) Proc. Int. Workshop on Shock Wave Focusing, Institute of Fluid Science, Tohoku University, Sendai, Japan, pp.1-37.
8 2003, Liska, R. and Wendroff, B., "Comparison of several difference schemes on 1D and 2D test problems for the Euler equations," SIAM J. Sci. Comput.,Vol.25, P.995 -1017.   DOI   ScienceOn
9 2003, Kim, H.D., Kweon, Y.H., Setoguchi, T. and Matsuo, S., "A study on the focusing phenomenon of a weak shock wave," Proc. IMechE, Part C: Journal of Mechanical Engineering Science, Vol.217, pp.1209-1220.   DOI   ScienceOn
10 1995, Inoue, O., Imuta, S., Milton, B.E. and Takayama, K., "Computational study of shock wave focusing in a log-spiral duct," Shock Waves, Vol.5, pp.183-188.   DOI
11 1996, Sun, M. and Takayama, K., "A holographic inteferometric study of shock wave focusing in a circular reflector," Shock Waves, Vol.6, pp.323-336.   DOI   ScienceOn
12 1976, Sturtevant, B. and Kulkarny, V.A., "The focusing of weak shock waves," JFM, Vol.73, pp.651-671.   DOI
13 1994, Izumi, K., Aso, S. and Nishida, M., "Experimental and computational studies focusing processes of shock waves reflected from parabolic reflectors," Shock Waves, Vol.3, pp.213-222.   DOI
14 1998, Babinsky, H. et al., "The influence of entrance geometry of circular reflectors on shock wave focusing," Computers & Fluids, Vol.27, pp.611-618.   DOI   ScienceOn
15 1996, Choi, H.-S. and Baek, J.-H., "Computations of nonlinear wave interaction in shock-wave focusing process using finite volume TVD schemes," Computers & Fluids, Vol.25, pp.509-525.   DOI   ScienceOn