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References
Berger, M.J. and Colella, P., 1989, Local adaptive mesh refinement for shock hydrodynamics, Journal of Computational Physics 82, 67–84.
Berger, M.J. and Oliger, J., 1984, Adaptive mesh refinement for hyperbolic partial differential equations, Journal of Computational Physics 53, 482–512.
Berger, M.J. and Rigoutsos, I., 1991, An algorithm for point clustering and grid generation, IEEE Transactions on Systems, Man, and Cybernetics 21(5), 1278–1286.
Bourne, N.K. and Field, J.E., 1992, Shock induced collapse of single cavities in liquids, Journal of Fluid Mechanics 244, 225.
Chern, I.L., Glimm, J., McBryan, O., Plohr, B. and Yaniv, S., 1985, Front tracking for gas dynamics, Journal of Computational Physics 62, 83–110.
Cocchi, J.-P. and Saurel, R., 1997, A Riemann problem based method for the resolution of compressible multimaterial flows, Journal of Computational Physics 137, 265–298.
Fedkiw, R.P., Aslam, T., Merriman, B. and Osher, S., 1999, A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost Fluid Method), Journal of Computational Physics 152, 457–492.
Grove, J.W., and Menikoff, R., 1990, Anomalous reflection of a shock wave at a fluid interface, Journal of Fluid Mechanics 219, 313–336.
Henderson, L.-F., Colella, P. and Puckett, E.G., 1991, On the refraction of shock waves at a slow-fast gas interface, Journal of Fluid Mechanics 224, 1–27.
Nourgaliev, R.R., Dinh, T.N. and Theofanous, T.G., 2004, The ‘Characteristics-Based Matching’ (CBM) method for compressible flow with moving boundaries and interfaces, ASME Journal of Fluids Engineering 126, 586–604.
Nourgaliev, R.R., Dinh, T.N. and Theofanous, T.G., 2004, Direct numerical simulation of compressible multiphase flows: Interaction of shock waves with dispersed multimaterial media, in Proceedings of the 5th International Conference on Multiphase Flow, ICMF’04, Yokohama, Japan, May 30–June 4, 2004, CD-ROM, Paper No. 494.
Nourgaliev, R.R., Sushchikh, S.Y., Dinh, T.N. and Theofanous, T.G., 2005, Shock wave refraction patterns at interfaces, International Journal of Multiphase Flow 31(9), 969–995.
Nourgaliev R.R., Dinh T.N., Theofanous T.G., 2006, Adaptive Characteristics-Based Matching for compressible multifluid dynamics, Journal of Computational Physics, in press.
Peng, D.P., Merriman, B., Osher, S., Zhao, H. and Kang, M., 1999, A PDE-based fast local level set method, Journal of Computational Physics 155, 410–438.
Osher, S. and Fedkiw, R., 2003, Level Set Methods and Dynamic Implicit Surfaces, Applied Mathematical Sciences, Vol. 153, Springer-Verlag, New York.
Sethian, J.A., 1999, Level Set Methods and Fast Marching Methods, Cambridge University Press.
Sibson, R., 1981, A brief description of natural neighbor interpolation, in Interpreting Multivariate Data, V. Barnett (ed.), John Wiley & Sons, New York, pp. 21–36.
Theofanous, T., Nourgaliev, R., Li, G. and Dinh, N., 2006, Compressible multihydrodynamics (CMH): Breakup, mixing and dispersal of liquids/solids in high speed flows, in Proceedings of the IUTAM Symposium on Computational Multiphase Flow, S. Balachandar and A. Prosperetti (eds), Springer, Dordrecht, pp. 353–369.
Wissink, A.M., Hornung, R., Kohn, S., Smith, S. and Elliott, N., 2001, Large scale parallel structured AMR calculations using the SAMRAI framework, in Proceedings of the SC01 Conference on High Perf. Network. & Comput., Denver, CO, November 10–16, 2001. Also available as LLNL Technical Report UCRL-JC-144755.
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Nourgaliev, R., Dinh, N., Theofanous, T. (2006). Adaptive Characteristics-Based Matching (aCBM): A Method for Interfacial Dynamics in Compressible Multiphase Flows. In: Balachandar, S., Prosperetti, A. (eds) IUTAM Symposium on Computational Approaches to Multiphase Flow. Fluid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4977-3_34
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