Publications

• Hybrid Schemes for Flow in Porous Media .
  (in preparation), (2007).
  
  
• An Upwind Scheme for the Shallow Water System in Area Variation .
  (in preparation), (2007).
  
  
• A Central Scheme for Shallow Water Flows along Channels with Irregular Geometry. (with J. Balbas)
  M2AN Math. Model. Numer. Anal., submitted, (2007).
  
  
• A Relaxation Scheme for the Tow-Layer Shallow Water System. (with R. Abgrall)
  Proceedings of the 11th International Conference on Hyperbolic Problems, Lyon, 2006. Hyperbolic Problems: Theory, Numerics, Applications (Eds. S. Benzoni-Gavage and D. Serre) Springer, pp.135-144 (2007).
  
  
• Interface tracking method for compressible multifluids . (with A. Chertock and A. Kurganov)
  M2AN Math. Model. Numer. Anal., submitted, (2006).
  
  
• Two-Layer Shallow Water Systems: A Relaxation Approach. (with R. Abgrall)
  Siam Journal on Scientific Computing, submitted, (2006).
  
  
• A second order kinetic scheme for gas dynamics on arbitrary grids. (with B. Keen)
  Journal of Computational Physics, 205, no. 1, 108--130 (2005).
  
  
• Local Error Analysis for Approximate Solutions of Hyperbolic Conservation Laws. (with A. Kurganov)
  Adv. Comput. Math., 22, no. 1, 79-99. (2005).
  
  
• Compressible two-phase flows by central and upwind schemes. (with E. Kirr, A. Kurganov and G. Petrova )
  M2AN Math. Model. Numer. Anal. 38, no. 3, 477--493, (2004).
  
  
• Source Linearization for Inhomogeneous Hyperbolic Conservation Laws.
  Manuscript (2003).
  
  
• Smoothness Indicator for Adaptive Algorithms. (with A. Kurganov and G. Petrova)
  Journal of Computational Physics., 178, 323-341 (2002).
  
  
• Computations of Compressible Multifluids. (with R. Abgrall)
  Journal of Computational Physics, 167, 1-30, (2001).
  
  
• Ghost Fluids for the Poor: A single fluid algorithm for multifluids. (with R. Abgrall)
  Proceedings of the 8th International Conference on Hyperbolic Problems in Magdeburg, Germany, 2000.
  International Series on Numerical Mathematics, (H. Freistuhler and G. Warnecke Eds), Vol. 140, pp.1-10.
  
  
• Compressible Bubbles with Surface Tension.
  in Numerical Methods for Fluid Dynamics (Ed. C.-H. Bruneau),
  Lecture Notes in Physics, 515, 506-511, Springer, 1998.
  
  
• A Level-Set Capturing Scheme for Compressible Interfaces.
  in Numerical Methods for Wave Propagation (Ed. E.F. Toro and J.F. Clarke), 253-273,
  Kluwer Academic Publishers, 1998.
  
  
• Computations of Slowly Moving Shocks. (with S. Canic)
  Journal of Computational Physics, 136, 132-139 (1997).
  
  
• On the Dynamics of Shock-Bubble Interaction. (with J.J. Quirk)
  Journal of Fluid Mechanics, 318, 129-163 (1996).
  
  
• Hybrid Multifluid Algorithms.
  SIAM Journal on Scientific Computing, 17, 1019-1039 (1996).
  
  
• Far-Field Filtering Operators for Suppression of Reflections from Artificial Boundaries.
  SIAM Journal on Numerical Analysis, 33, 1014-1047 (1996).
  
  
• Multi-Component Flow Calculations by a Consistent Primitive Algorithm.
  Journal of Computational Physics, 112, 31-43 (1994).
  
  
• On the Group Velocity of Symmetric and Upwind Schemes.
  International Journal on Numerical Methods for Fluids, 18, 1073-1081 (1994).
  
  
• Numerical Computation of Two-Dimensional Unsteady Detonation Waves in High Energy Solids.
  (with J.F. Clarke, E.F. Toro, P.L. Roe and L. Simmonds)
  Journal of Computational Physics, 106, 215-233 (1993).
  
  
• Viscous Shock Profiles and Primitive Formulations.
  SIAM Journal on Numerical Analysis, 29, 1592-1609 (1992).
  
  
• Accelerated Convergence to Steady-State by Gradual Far-Field Damping.
  AIAA Journal, 30, 1220-1228 (1992).
  
  
• To the Boundary and Back - A Numerical Study.
  International Journal on Numerical Methods for Fluids, 13, 201-216 (1991).
  
  

All papers are available upon request:

Smadar Karni
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1109, USA
karni@umich.edu

Last updated, January 2008.