Simulation of multi-material hydrodynamic flows using adaptive mesh refinement



adaptive meshes, multi-material flows, parallel computing


A hydrodynamic multi-material model combined with a procedure of block-structured meshes construction implemented in the Chombo package is considered. The application of adaptive meshes allows one to efficiently redistribute computer resources as well as to save the machine memory when solving multi-dimensional problems.

Author Biographies

M.E. Povarnitsyn

A.S. Zakharenkov

P.R. Levashov

K.V. Khishchenko


  1. Kanel G.I., Razorenov S.V., Baumung K., Singer J. Dynamic yield and tensile strength of aluminum single crystals at temperatures up to the melting point // J. of Applied Physics. 2001. 90. 136-143.
  2. Povarnitsyn M., Khishchenko K., Levashov P. Hypervelocity impact modeling with different equations of state // Int. J. of Impact Engineering. 2006. 33. 625-633.
  3. Olson R.E., Suter L.J., Kline J.L., et al. Lasnex simulations of NIF vacuum hohlraum commissioning experiments // J. of Physics: Conference Series. 2010. 244. 032057.
  4. Berger M.J., Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations // J. of Computational Physics. 1984. 53. 484-512.
  5. Colella P., Graves D.T., Keen N.D., et al. Chombo software package for AMR applications (design document) (
  6. Бахрах С., Глаголева Ю., Самигулин М. Расчет газодинамических течений на основе метода концентраций // Докл. АН СССР. 1981. 257, № 3. 566-569.
  7. Miller G.H., Puckett E.G. A high-order Godunov method for multiple condensed phases // J. of Computational Physics. 1996. 128. 134-164.
  8. Youngs D.L. Time-dependent multi-material flow with large fluid distortion // Numerical Methods for Fluid Dynamics / Ed. by K.W. Morton and M.J. Baines. New York: Academic Press, 1982. 273-285.
  9. Youngs D.L. An interface tracking method for a 3D Eulerian hydrodynamics code. Tech. Rep. AWRE/44/92/35. Aldermaston: Atomic Weapons Research Establishment, 1987.
  10. Khishchenko K.V. Equation of state and phase diagram of tin at high pressures // J. Phys.: Conf. Ser. 2008. 121. 022025.
  11. Khishchenko K.V. Equation of state for tungsten in the region of high pressures and temperatures // Physics of Extreme States of Matter 2005 / Ed. by V.E. Fortov et al. Chernogolovka: IPCP, 2005. 170-172.



How to Cite

Поварницын М., Захаренков А., Левашов П., Хищенко К. Simulation of Multi-Material Hydrodynamic Flows Using Adaptive Mesh Refinement // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2012. 13. 424-433



Section 1. Numerical methods and applications