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Czech
Technical University in Prague (CVUT) Faculty of Nuclear Sciences and Physical Engineering (FJFI) Brehova 7, 115 19 - Praha 1, Czech Republic Department of Laser Physics and Photonics (KLFF) Computational Physics Group (CPG) Office: Room 131B, Trojanova 13, 120 00 - Praha 2, Czech Republic Phone: +420 - 778 533 082 e-mail: pavel . vachal (at) fjfi . cvut . cz |
- Teaching Activities at CTU, FNSPE (FJFI CVUT):
- Numerical Methods 12NME1, 12NMEA (in Czech)
- Robust Numerical Algorithms 12RNA (in Czech)
- Research Interests:
- Rezoning of Lagrangian meshes for ALE computations
- New types of artificial viscosity
- Lagrangian schemes for multi-material flows, closure models
- FCT-based remapping strategies for ALE simulations
- Plasma physics simulations (material interfaces, instabilities, laser-plasma interactions, ...)
- Optimization-based numerical approaches for fluid dynamics
- Difference schemes for conservation laws in multiple dimensions
- ...
- Collaborators
- From our department (Prague)
- From other institutions in Prague
- From Los Alamos
- From France (Bordeaux, etc.)
- Other Collaborators
- Selected Publications:
- LAX-WENDROFF METHODS ON HIGHLY NON-UNIFORM MESHES.
Dedicated to the Memory of Blair Swartz (1932-2019)
[with R. Liska and B. Wendroff]
Applied Numerical Mathematics, vol. 163 (2021), p. 167-181. DOI: 10.1016/j.apnum.2021.01.014
- CELL-CENTERED LAGRANGIAN LAX-WENDROFF HLL HYBRID SCHEME
ON UNSTRUCTURED MESHES
[with D. Fridrich, R. Liska, I. Tarant and B. Wendroff]
Acta Polytechnica, vol. 61 (2021), no. SI, p. 68-76. DOI: 10.14311/AP.2021.61.0068
- HerEOS: A FRAMEWORK FOR CONSISTENT TREATMENT OF THE EQUATION
OF STATE IN ALE HYDRODYNAMICS
[with M. Zeman and M. Holec]
Computers and Mathematics with Applications, vol. 78 (2019), no. 2, p. 483-503. DOI: 10.1016/j.camwa.2018.10.014
- VOLUME CHANGE AND ENERGY EXCHANGE: HOW THEY AFFECT SYMMETRY
IN THE NOH PROBLEM (Short Note)
[with B. Wendroff]
Journal of Computational Physics, vol. 364 (2018), p. 416-419. DOI: 10.1016/j.jcp.2018.03.021
(Los Alamos Technical Report LA-UR-17-29800) - ON PRESERVATION OF SYMMETRY IN R-Z STAGGERED LAGRANGIAN SCHEMES
[with B. Wendroff]
Journal of Computational Physics, vol. 307 (2016), p. 496-507. DOI: 10.1016/j.jcp.2015.11.063
- SYMMETRY PRESERVATION AND VOLUME CONSISTENCY
IN AN R-Z STAGGERED SCHEME
[with B. Wendroff]
In: E. Onate, X. Oliver and A. Huerta (eds.): Proceedings of the jointly organized WCCM XI, ECCM V, ECFD VI, Barcelona, Spain, July 20-25, 2014.
p. 6001-6012. International Center for Numerical Methods in Engineering (CIMNE), Barcelona, 2014. ISBN: 978-84-942844-7-2
(Los Alamos Technical Report LA-UR-14-21791)
- A SYMMETRY PRESERVING DISSIPATIVE ARTIFICIAL VISCOSITY
IN R-Z GEOMETRY
[with B. Wendroff]
International Journal for Numerical Methods in Fluids, vol. 76 (2014), no. 3, p. 185-198. DOI: 10.1002/fld.3926
(Research paper presented at Multimat 2013)
- A SYMMETRY PRESERVING DISSIPATIVE ARTIFICIAL VISCOSITY
IN AN R-Z STAGGERED LAGRANGIAN DISCRETIZATION
[with B. Wendroff]
Journal of Computational Physics, vol. 258 (2014), p. 118-136. DOI: 10.1016/j.jcp.2013.10.036
(Los Alamos Technical Report LA-UR-13-21297)
- SYMMETRY- AND ESSENTIALLY-BOUND-PRESERVING FLUX-CORRECTED REMAPPING
OF MOMENTUM IN STAGGERED ALE HYDRODYNAMICS
[with J. Velechovsky, M. Kucharik, R. Liska and M. Shashkov]
Journal of Computational Physics, vol. 255 (2013), p. 590-611. DOI: 10.1016/j.jcp.2013.08.037
(Los Alamos Technical Report LA-UR-13-21575)
- X-RAY SPECTROSCOPIC STUDY OF CHARGE EXCHANGE PHENOMENA IN PLASMA-WALL INTERACTION
(Available here)
[with O. Renner, E. Krousky, M. Smid, R. Liska, F.Y. Khattak, E. Dalimier and E. Oks]
EPJ Web of Conferences, vol. 59 (2013), p. 14005. DOI: 10.1051/epjconf/20135914005
(Proceedings of IFSA 2011 - Seventh International Conference on Inertial Fusion Sciences and Applications, Bordeaux, France, September 12-16, 2011)
- PLASMA JETS PRODUCTION AT LASER-BURNT-THROUGH FOILS
AND THEIR INTERACTION WITH SECONDARY TARGETS
[with O. Renner, J. Cihelka, L. Juha, J. Krasa, E. Krousky, J. Nejdl, J. Skala, A. Velyhan, T. Pisarczyk, T. Chodukowski, V. Kalinowska, A. Kasperczuk, P. Pisarczyk, R. Liska, M. Smid, J. Velechovsky and J. Ullschmied]
Proceedings of the 5th International Conference on the Frontiers of Plasma Physics and Technology, 18-22 April 2011, Singapore.
IAEA-TECDOC-CD 1713. IAEA, Vienna, Austria, 2013. ISBN 978-92-0-193410-9, ISSN 1684-2073.
- 3D STAGGERED LAGRANGIAN HYDRODYNAMICS SCHEME WITH
CELL-CENTERED RIEMANN SOLVER-BASED ARTIFICIAL VISCOSITY
[with R. Loubere and P.-H. Maire]
Int. J. Numer. Meth. Fluids, vol. 72, no. 1 (2013), p. 22-42. DOI: 10.1002/fld.3730
- MODELING OF ANNULAR-LASER-BEAM-DRIVEN PLASMA JETS
FROM MASSIVE PLANAR TARGETS
[with V. Kmetik, J. Limpouch and R. Liska]
Laser and Particle Beams, vol. 30, no. 3 (2012), p. 445-457. DOI: 10.1017/S026303461200033X
- ALE METHOD FOR SIMULATIONS OF LASER-PRODUCED PLASMAS
[with R. Liska, M. Kucharik, J. Limpouch, O. Renner, L. Bednarik and J. Velechovsky]
In: J. Fort, J. Furst, J. Halama, R. Herbin and F. Hubert (eds.): Finite Volumes for Complex Applications VI - Problems & Perspectives. FVCA 6, International Symposium, Prague, June 6-10, 2011.
p. 57-72. Springer Verlag, 2011. DOI: 10.1007/978-3-642-20671-9_87
- STAGGERED LAGRANGIAN DISCRETIZATION BASED ON CELL-CENTERED
RIEMANN SOLVER AND ASSOCIATED HYDRODYNAMICS SCHEME
[with P.-H. Maire and R. Loubere]
Communications in Computational Physics, vol. 10, no. 4 (2011), p. 940-978. DOI: 10.4208/cicp.170310.251110a
- DISCRETIZATIONS FOR WEIGHTED CONDITION NUMBER SMOOTHING
ON GENERAL UNSTRUCTURED MESHES
[with P.-H. Maire]
Computers & Fluids, vol. 46, no. 1 (2011), p. 479-485. DOI: 10.1016/j.compfluid.2010.10.025 (Proceedings of ICFD 2010)
- SYNCHRONIZED FLUX-CORRECTED REMAPPING FOR ALE METHODS
[with R. Liska, M. Shashkov and B. Wendroff]
Computers & Fluids, vol. 46, no. 1 (2011), p. 312-317. DOI: 10.1016/j.compfluid.2010.11.013 (Proceedings of ICFD 2010)
- FORMULATION OF A STAGGERED TWO-DIMENSIONAL LAGRANGIAN SCHEME BY MEANS
OF CELL-CENTERED APPROXIMATE RIEMANN SOLVER
[with R. Loubere and P.-H. Maire]
In: G. Kreiss, P. Lotstedt, A. Malqvist and M. Neytcheva (eds.): Numerical Mathematics and Advanced Applications. ENUMATH 2009.
p. 617-625. Springer Verlag, 2010. doi: 10.1007/978-3-642-11795-4_66
- A SECOND-ORDER COMPATIBLE STAGGERED LAGRANGIAN HYDRODYNAMICS SCHEME
USING A CELL-CENTERED MULTIDIMENSIONAL APPROXIMATE RIEMANN SOLVER
(Available here)
[with R. Loubere and P.-H. Maire]
Procedia Computer Science, vol. 1, no. 1 (2010), p. 1931-1939. DOI: 10.1016/j.procs.2010.04.216 (Proceedings ICCS 2010, Amsterdam)
- OPTIMIZATION-BASED SYNCHRONIZED FLUX-CORRECTED CONSERVATIVE
INTERPOLATION (REMAPPING) OF MASS AND MOMENTUM FOR
ARBITRARY LAGRANGIAN-EULERIAN METHODS
(Preprint here)
[with R. Liska, M. Shashkov and B. Wendroff]
Journal of Computational Physics, vol. 229, no. 5 (2010), p. 1467-1497. DOI: 10.1016/j.jcp.2009.10.039
(Los Alamos Technical Report LA-UR-09-04769)
- COMPARISON OF STAGGERED AND CELL-CENTERED
LAGRANGIAN AND ALE HYDRODYNAMICAL METHODS
[with R. Liska, R. Loubere, P.-H. Maire, J. Breil and S. Galera]
In: E. Tadmor and J.-G. Liu and A.E. Tzavaras (eds.): Hyperbolic Problems. Theory, Numerics and Applications. (Proceedings of HYP 2008).
p. 755-764. American Mathematical Society, 2009
- ARBITRARY LAGRANGIAN EULERIAN METHOD FOR LASER PLASMA SIMULATION
[with T. Kapin, M. Kucharik, J. Limpouch and R. Liska]
Int. J. Numer. Meth. Fluids, vol. 56, no. 8 (2008), p. 1337-1342. DOI: 10.1002/fld.1567
(Los Alamos Technical Report LA-UR 07-3792)
- QUANTIFIER ELIMINATION SUPPORTED PROOFS IN THE NUMERICAL TREATMENT
OF FLUID FLOWS
[with R. Liska]
Applicable Algebra in Engineering, Communication and Computing, vol. 18, no. 6 (2007), p. 575-582. DOI 10.1007/s00200-007-0057-6
- ARBITRARY LAGRANGIAN-EULERIAN (ALE) METHODS IN COMPRESSIBLE
FLUID DYNAMICS
[with M. Kucharik, R. Liska and M. Shashkov]
In: J. Chleboun and K. Segeth and T. Vejchodsky (eds.): Programs and Algorithms of Numerical Mathematics 13.
p. 178-183. Mathematical Institute, Academy of Sciences of the Czech Republic, 2006
- SEQUENTIAL FLUX-CORRECTED REMAPPING FOR ALE METHODS
[with R. Liska]
In: A. Bermudez de Castro, D. Gomez, P. Quintela and P. Salgado (eds.): Numerical Mathematics and Advanced Applications. ENUMATH 2005.
p. 671-679. Springer Verlag, 2006
- NUMERICAL METHODS FOR EULER EQUATIONS
USING FULLY TWO-DIMENSIONAL HLLEC RIEMANN SOLVER
[with R. Liska and B. Wendroff]
In: F. Asakura, H. Aiso, S. Kawashima, A. Matsumura, S. Nishibata and K. Nishihara (eds.): Hyperbolic Problems. Theory, Numerics and Applications II. (Proceedings of HYP 2004).
p. 369-376. Yokohama Publishers, 2006
- TOPOLOGICAL NON-CONNECTIVITY THRESHOLD IN LONG-RANGE SPIN
SYSTEMS
[with F. Borgonovi, G.L. Celardo, A. Musesti and R. Trasarti-Battistoni]
Physical Review E, vol. 73, no. 2 (2006), p. 026116. DOI: 10.1103/PhysRevE.73.026116
- A NODE RECONNECTION ALGORITHM FOR MIMETIC FINITE DIFFERENCE
DISCRETIZATIONS OF ELLIPTIC EQUATIONS ON TRIANGULAR MESHES
(available here)
[with M. Berndt, K. Lipnikov and M. Shashkov]
Communications in Mathematical Sciences 3, no. 4 (2005), p. 665-680.
(Los Alamos Technical Report LA-UR-05-4620)
- ON QUALITY IMPROVEMENT OF TRIANGULAR MESHES USING NODE RECONNECTION
[with R. Garimella]
In: A. Handlovicova, Z. Kriva, K. Mikula, D. Sevcovic (eds.): Proceedings of Algoritmy 2005, 17th Conference on Scientific Computing.
p. 93-102. Slovak University of Technology, Bratislava, Slovakia, 2005
- ALE SIMULATIONS OF HIGH-VELOCITY IMPACT PROBLEM
[with M. Kucharik, R. Liska and J. Limpouch]
Czechoslovak Journal of Physics, vol. 54 (2004), Suppl. C, p. C391-C396. DOI: 10.1007/BF03166430
- FULLY TWO-DIMENSIONAL HLLEC RIEMANN SOLVER AND ASSOCIATED
DIFFERENCE SCHEMES
[with R. Liska and B. Wendroff]
In: M. Feistauer, V. Dolejsi, P. Knobloch, K. Najzar (eds.): Numerical Mathematics and Advanced Applications. ENUMATH 2003.
p. 815-824. Springer Verlag, 2004
- UNTANGLING OF 2D MESHES IN ALE SIMULATIONS
(Preprint here)
[with R. Garimella and M. Shashkov]
Journal of Computational Physics, vol. 196, no. 2 (2004), p. 627-644. DOI 10.1016/j.jcp.2003.11.011
(Los Alamos Technical Report LA-UR-03-2424)
- RIEMANN PROBLEMS FOR 2D GAS DYNAMICS - animations (1998)
[with R. Liska]
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Last update: May 6, 2024
pavel . vachal (at) fjfi . cvut . cz