Publications

A Scheme for Shallow Water Systems by Discrete Averaging. (with R. Abgrall)
in preparation (2011).
Nonlinear Hyperbolic Conservation Laws - A Brief Informal Introduction.
in Numerical Methods for Hyperbolic Equations, CRC Press / Balkema (2011).
CRASH: A Block-adaptive-mesh code for radiative shocks hydrodynamics
- implementation and verification. (with B. van der Holst et al.)
to appear in Astrophysical Journal supplement (2011).
Radiative Effects in Radiative Shocks in Shock Tubes. (with R.P. Drake et al.)
to appear in High Energy Density Physics (2011).
Shallow Water Flows in Channels. (with G. Hernandez)
Journal of Scientific Computing, DOI: 10.1007/s10915-010-9430-x (2010).
A comment on the computation of Nonconservative Products. (with R. Abgrall)
Journal of Computational Physics, 229, pp.2759-2763 (2010).
A Hybrid Algorithm for the Baer-Nunziato Model Using the Riemann Invariants. (with G. Hernandez)
Journal of Scientific Computing, 45(1), pp. 382-403 (2010).
online DOI 10.1007/s10915-009-9332-y.
A Scheme for Shallow Water Flow with Area Variation. (with G. Hernandez)
Proceedings of the 7th International Conference of Numerical Analysis and Applied Mathematics, Rethymnon,
Crete, September, 2009. American Institute of Physics, 1168, pp.1433-1436 (2009).
A Central Scheme for Two-Layer Shallow Water Flows with Area Variation. (with J. Balbas)
Proceedings of the 7th International Conference of Numerical Analysis and Applied Mathematics, Rethymnon,
Crete, September, 2009. American Institute of Physics, 1168, pp.1421-1424 (2009).
A Central Scheme for Shallow Water Flows along Channels with Irregular Geometry. (with J. Balbas)
Math. Model. Numer. Anal. (M2AN), 43, pp. 333-351 (2009).
A Hybrid Method for Flows in Porous Media. (with G. Hernandez)
Proceeding of the 12th International Conference of Hyperbolic Problems, College Park, Maryland, USA 2008.
(E. Tadmor, J.-G. Liu and Th. Tzavaras Editors).
Proceedings of Symposia in Applied Mathematics, 67, pp.715--724, AMS (2009).
Two-Layer Shallow Water Systems: A Relaxation Approach. (with R. Abgrall)
Siam Journal on Scientific Computing, 31 (3), pp.1603-1627 (2009).
Interface tracking method for compressible multifluids . (with A. Chertock and A. Kurganov)
Math. Model. Numer. Anal. (M2AN), 42, pp. 991-1019 (2008).
A Relaxation Scheme for the Two-Layer Shallow Water System. (with R. Abgrall)
Proceedings of the 11th International Conference on Hyperbolic Problems, Lyon, France, 2006.
in Hyperbolic Problems: Theory, NUmerics, Applications (Eds. S. Benzoni-Gavage and D. Serre)
Springer, pp.135-144 (2008).
A second order kinetic scheme for gas dynamics on arbitrary grids. (with B. Keen)
Journal of Computational Physics, 205, no. 1, pp. 108-130 (2005).
Local Error Analysis for Approximate Solutions of Hyperbolic Conservation Laws. (with A. Kurganov)
Adv. Comput. Math., 22, no. 1, pp. 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, pp. 77-493, (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, pp. 323-341 (2002).
Computations of Compressible Multifluids. (with R. Abgrall)
Journal of Computational Physics, 167, pp. 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, pp. 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), pp. 253-273,
Kluwer Academic Publishers, 1998.
Computations of Slowly Moving Shocks. (with S. Canic)
Journal of Computational Physics, 136, pp. 132-139 (1997).
On the Dynamics of Shock-Bubble Interaction. (with J.J. Quirk)
Journal of Fluid Mechanics, 318, pp. 129-163 (1996).
Hybrid Multifluid Algorithms.
SIAM Journal on Scientific Computing, 17, pp. 1019-1039 (1996).
Far-Field Filtering Operators for Suppression of Reflections from Artificial Boundaries.
SIAM Journal on Numerical Analysis, 33, pp. 1014-1047 (1996).
Multi-Component Flow Calculations by a Consistent Primitive Algorithm.
Journal of Computational Physics, 112, pp. 31-43 (1994).
On the Group Velocity of Symmetric and Upwind Schemes.
International Journal on Numerical Methods for Fluids, 18, pp. 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, pp. 215-233 (1993).
Viscous Shock Profiles and Primitive Formulations.
SIAM Journal on Numerical Analysis, 29, pp. 1592-1609 (1992).
Accelerated Convergence to Steady-State by Gradual Far-Field Damping.
AIAA Journal, 30, pp. 1220-1228 (1992).
To the Boundary and Back - A Numerical Study.
International Journal on Numerical Methods for Fluids, 13, pp. 201-216 (1991).
One-Way absorbing boundaries for wave-like equations.
Proceedings of the 5th International Symposium on Numerical Methods in Engineering, (R. Gruber, J. Periaux and R.P. Shaw Eds.),
Computational Mechanics Publications, Volume 2, Southampton, Springer-Verlag, Berlin (1989).
Far-field boundaries and their numerical treatment: an unconventional approach.
Numerical Methods for Fluid Dynamics III, (K.W. Morton and M.J. Baines Eds.), Clarendon Press, Oxford (1988). pp. 507-512.

All papers are available upon request:

karni@umich.edu

Last updated, April, 2011.