Milan Kucharik

Department of Physical Electronics
Faculty of Nuclear Sciences and Physical Enginnering
Czech Technical University in Prague
Brehova 7, Praha 1, 115 19, Czech Republic

Office: Room 131A, Trojanova 13, Praha 2, 120 00, Czech Republic
Phone: (+420) 22435 8637
Fax: (+420) 22435 8625
E-mail: kucharik@newton.fjfi.cvut.cz

Research Interests

Computational Physics, Applied Mathematics, Conservation Laws, solving PDEs in multiple dimensions.
Development and analysis of 3D difference schemes and their applications in gas dynamics and plasma physics.
Development of Arbitrary Lagrangian-Eulerian (ALE) methods for gas dynamics and plasma physics.
Conservative interpolations of functions, applications in the context of ALE methods.
Multimaterial Lagrangian models and remapping algorithms for multimaterial ALE code.
Mesh smoothing techniques for ALE methods.
Simulations of interactions of intense laser beam with massive or flyer targets, high speed impact simulations.

Selected Publications

M. Kucharik, M. Shashkov: Conservative Multi-Material Remap for Staggered Discretization, In preparation, 2009.
M. Kucharik, B. Wendroff: Multidimensional First and Second Order Symmetric Strang Splitting for Hyperbolic Systems , Applied Numerical Mathematics, Vol. 60, Nr. 1-2, pp. 74-82, 2010.
D. Bailey, M. Berndt, M. Kucharik, M. Shashkov: Reduced-Dissipation Remapping of Velocity in Staggered Lagrangian-Eulerian Methods , Journal of Computational and Applied Mathematics, In press, 2009.
M. Kucharik, R.V. Garimella, S.P. Schofield, M.J. Shashkov: A comparative study of interface reconstruction methods for multi-material ALE simulations, Journal of Computational Physics, In press, 2009.
M. Kucharik, R. Liska, R. Loubere, M. Shashkov: Arbitrary Lagrangian-Eulerian (ALE) method in cylindrical coordinates for laser plasma simulations, Hyperbolic Problems: Theory, Numerics, Applications - Proceedings of the Eleventh International Conference on Hyperbolic Problems, pp. 687-694, 2008.
M. Kucharik, M. Shashkov: Extension of Efficient, Swept-Integration Based Conservative Remapping Method for Meshes with Changing Connectivity, International Journal for Numerical Methods in Fluids, Vol. 56, Nr. 8, pp. 1359-1365, 2008.
T. Kapin, M. Kucharik, J. Limpouch, R. Liska, P. Vachal: Arbitrary Lagrangian Eulerian method for laser plasma simulations, International Journal for Numerical Methods in Fluids, Vol. 56, Nr. 8, pp. 1337-1342, 2008.
R. Garimella, M. Kucharik, M. Shashkov: An Efficient Linearity and Bound Preserving Conservative Interpolation (Remapping) on Polyhedral Meshes, Computers & Fluids, Vol. 36, Nr. 2, pp. 224-237, 2007.
M. Kucharik: Arbitrary Lagrangian-Eulerian (ALE) Methods in Plasma Physics, Ph.D. Disertation Thesis, Czech Technical University in Prague, 2006.
M. Kucharik, J. Limpouch, R. Liska: Laser Plasma Simulations by Arbitrary Lagrangian Eulerian Method, Journal de Physique IV, Vol. 133, pp. 167-169, 2006.
M. Kucharik, J. Limpouch, R. Liska: Cylindrical 2D ALE simulations of laser interactions with flyer targets, Czechoslovak Journal of Physics, Vol. 56, Suppl. B, pp. 522-527, 2006.
T. Kapin, M. Kucharik, J. Limpouch, R. Liska: Hydrodynamic simulations of laser interactions with low-density foams, Czechoslovak Journal of Physics, Vol. 56, Suppl. B, pp. 493-499, 2006.
M. Kucharik, R. Liska, S. Steinberg, B. Wendroff: Optimally-Stable Second-Order Accurate Difference Schemes for Nonlinear Conservation Laws in 3D, Applied Numerical Mathematics, Vol. 56, Nr. 5, pp. 589-607, 2006.
M. Kucharik, R. Liska, P. Vachal, M. Shashkov: Arbitrary Lagrangian-Eulerian (ALE) Methods in Compressible Fluid Dynamics, Programs and Algorithms of Numerical Mathematics 13, pp. 178-183, 2006.
R. Liska, M. Kucharik: Arbitrary Lagrangian Eulerian method for compressible plasma simulations, Proceedings of EQUADIFF 11, International conference on differential equations, pp. 49, 2006.
M. Kucharik, R. Liska, M. Shashkov: Conservative Remapping and ALE Methods for Plasma Physics, Proceedings of HYP 2004, Tenth International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Vol. 2, 2006.
M. Kucharik, R. Liska, J. Limpouch, P. Vachal: ALE Simulations of High-Velocity Impact Problem, Czechoslovak Journal of Physics, Vol. 54, Suppl. C, pp. 391-396, 2004.
R. Garimella, M. Kucharik, M. Shashkov: Efficient Algorithm for Local-Bound-Preserving Remapping in ALE Methods, Numerical Mathematics and Advanced Applications, Springer-Verlag Berlin Heidelberg New York, pp. 358-367, 2004.
M. Kucharik, M. Shashkov, B. Wendroff: An efficient linearity-and-bound-preserving remapping method, Journal of Computational Physics, Vol. 188, Nr. 2, pp. 462-471, 2003.
L. Drska, M. Kucharik, J. Limpouch, R. Liska, M. Sinor, A. Iskakov: Hydrodynamical modeling of targets compression to high densities, Czechoslovak Journal of Physics, Vol. 52, Suppl. D, pp. 362-367, 2002.

Teaching

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CV

Short CV is here.

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Last update: 19.8.2009