Dr. Sudarshan Tiwari

Office: 48-575

Phone: +49 (0)631 205 4133

E-mail: tiwari(at)mathematik.uni-kl.de

  1. S. Tiwari, A. Klar, G. Russo, A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries, 2021 (submitted), arxiv.org/abs/2109.05822
  2. S. Tiwari, A. Klar, G. Russo, Modeling and simulations of moving droplet in a Rarefied gas, 2021 (submitted), arxiv.org/abs/2108.13895
  3. P. S. Abdul Salam, W. Bock, A. Klar,S Tiwari, Disease contagion models coupled to crowd motion and mesh-free simulation. Math. Models Methods Appl. Sci. 31 (2021), no. 6, 1277–1295. 92D30 (90B20).
  4. S. Tiwari, A. Klar, G. Russo, Interaction of rigid body motion and rarefied gas dynamics based on the BGK model. Math. Eng. 2 (2020), no. 2, 203–229. 70E99 (76P05).
  5. P. Goswami, T. Baier, S. Tiwari, C.  Lv, S. Hardt, A. Klar, Drag force on spherical particle moving near a plane wall in highly rarefied gas. J. Fluid Mech. 883 (2020), A47, 14 pp. 76P05.
  6. S. Tiwari, A.  Klar, G. Russo, A meshfree method for the BGK model for rarefied gas dynamics. Int. J. Adv. Eng. Sci. Appl. Math. 11 (2019), no. 3, 187–197. 76P05 (65M60).
  7. M.W. Hlawitschka, S. Tiwari, J. Kwizera, H.-J. Bart, A. Klar, Simulation of fluid particle cutting: validation and case study, Differ. Equ. Dyn. Syst. (2020).
  8. M.K. Mahato, A. Klar, S. Tiwari, Modelling and Simulation of macroscopic pedestrian flow models, Progress in Industrial Mathematics at ECMI 2018, Springer 2020
  9. A. Meurer, A. Weber, H.-J. Bart, A. Klar, S. Tiwari, Experimental Validation of a Microscopic Ellipsoidal Particle Model immersed in Fluid Flow, The Nepali Mathematical Science Report, 36 (1-2), 27-37, 2020.
  10. R. K. Pradhan, S. Shrestha, S. Tiwari, Comparative study of deterministic and stochastic pedestrains motions, J.  National Sci. Foundation of Sri Lanka, 2019, 47(2):213-220.
  11. R. K. Pradhan, S. Shrestha, S. Tiwari, Comparative study of deterministic and stochastic pedestrains motions, To appear in J.  National Sci. Foundation of Sri Lanka, 2019
  12. A. Klar, S. Tiwari, A multi-scale particle method for mean field equations: the general case, SIAM J. Multiscale Model. Simul. , Vol. 17, No. 1, 233-259, 2019, epubs.siam.org/doi/10.1137/17M112957X
  13. T. Baier, S. Tiwari, S. Shrestha, H. Hardt, A. Klar, Thermophoresis of Janus particles at large Knudsen numbers, Accepted in Physical Review Fluids, 2018.
  14. N. K. Mahato, A. Klar,  A meshfree particle method for a vision-based macroscopic pedestrian model, Int. J. Adv. Eng. Sci. Appl.Math, 2018, https://doi.org/10.1007/s12572-018-0204-2
  15. P. Suchde, J. Kuhnert, S. Tiwari, On Meshfree GFDM Solvers for the Incompressible Navier - Stokes Equations, Computers and Fluids 165 (2018) 1-12, doi.org/10.1016/j.compfluid.2018.01.008
  16. N. K. Mahato, A. Klar, S. Tiwari, Particle methods for multi-group pedestrian flow, Appl. Math. Modelling 53 (2018) 447-46,  doi.org/10.1016/j.apm.2017.08.024
  17. S. Tiwari, A. Klar, S. Hardt,  A Meshfree Method for Simulations of Dynamic Wetting. In: Russo G., Capasso V., Nicosia G., Romano V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry, vol 22. 2016, Springer, Cham, https://doi.org/10.1007/978-3-319-23413-7_118
  18. A. Pandey, S. Hardt, A. Klar, S. Tiwari,   Brownian dynamics of rigid particles in an incompressible fluctuating fluid by a meshfree method, Computers and Fluids 127, 174-181, 2016, doi.org/10.1016/j.compfluid.2016.01.003
  19. S. Shrestha, S. Tiwari, A. Klar, S. Hardt,  Numerical simulation of a moving rigid body in rarefied gas , J. Comp. Phys. 292, 239-252, 2016, doi.org/10.1016/j.jcp.2015.03.030
  20. S. Tiwari, A. Klar, S. Hardt, Numerical simulation of wetting phenomena by a meshfree particle method, J. Comp.  Appl.  Math. 292 (2016) 469–485, http://dx.doi.org/10.1016/j.cam.2015.07.021
  21.  S. Shrestha, S. Tiwari, A. Klar Comparision of numerical solutions of the Boltzmann and the Navier-Stokes equations for a moving rigid circular body in a micro scaled cavity, Int. J. Advances in Eng. Sci. and Appl. Maths., 7: 38, 2015, doi.org/10.1007/s12572-015-0125-2
  22. A. Klar, S. Tiwari, A multi-scale meshfree method for macroscopic approximations of interacting particle system, SIAM Multiscale Mod. Sim. 12, 3, DOI 10.1137/130945788, 2014
  23. R. Etikyala, S. Goettlich, A. Klar,  S. Tiwari, Particle methods for pedestrian flow models: from microscopic to non-local continuum models, Math. Meth. and Models in Appl. Sci. 24, 12, 2503-2523, 2014, https://doi.org/10.1142/S0218202514500274
  24. S. G\"ottlich, A. Klar, S. Tiwari, Complex material flow problems: A multi-scale model hierachy and particle methods, J Eng Math (2015) 92: 15, https://doi.org/10.1007/s10665-014-9767-5
  25. R. Etikyala, S. Goettlich, A. Klar,  S. Tiwari, A macroscopic model for pedestrian flow: comparisons with experimental results of pedestrian flow in corridors and T-junctions,  Neural, Parallel \& Scientific Computations, 22, 3, 35-330, 2014
  26.  S. Tiwari, A. Klar,  S. Hardt, Coupled solution of the Boltzmann and Navier-Stokes equations in gas-liquid two phase flow, Computers and Fluids, 71, 283-296, 2013, doi.org/10.1016/j.compfluid.2012.10.018
  27. S. Tiwari, A. Klar,  S. Hardt, Simulations of micro channel gas flows with domain decomposition technique for kinetic and fluid dynamic equations,  21st Int.  Conf. on Domain Decomp.  Meth.  2012, INRIA Rennes-Btretagne-Atlantique, LNCSE. LNCSE, Springer, 2013, https://doi.org/10.1007/978-3-319-05789-7_19
  28. M. Panchatcharam, S. Sundar, V. Vetrivel, A. Klar, S. Tiwari, GPU Computing for meshfree particle method, Int. J. of Num. Ana.  and Mod., Series B4, 394412, 2013.
  29. S. Hardt, S. Tiwari, T. Baier, Thermally driven flows between a Leidenfrost solid and a ratchet surface,  Physical Rev. E. 87, 063015, 2013. DOI: 10.1103/PhysRevE.87.063015
  30. A. Pandey, A. Klar, S. Tiwari, Meshfree method for fluctuating hydrodynamics, Mathematics and Computers in Simulation. 82, (11), 2157-2166, 2012, doi.org/10.1016/j.matcom.2012.06.002
  31. A. A. Donkov, S. Tiwari, T. Liang, S. Hardt, A. Klar and W. Ye, Momentum and mass fluxes in a gas confined between periodically structured surfaces at different temperatures, Phys. Rev E 84, 016304,  2011, https://doi.org/10.1103/PhysRevE.84.016304
  32. S. Tiwari, A. Klar, Coupling of the Navier-Stokes and the Boltzmann equations with a meshfree  particle and kinetic particle methods for a micro cavity, Lecture Notes in Computational Science and Engineering: Meshfree Methods for Partial Differential Equations V, M. Griebel; M.A. Schweitzer (Eds.),  Vol. 79,  Springer Verlag, 2011, https://doi.org/10.1007/978-3-642-16229-9_10
  33. J. A. Carrillo, A. Klar and S. Martin, S. Tiwari, Self propelled interacting particle systems with roosting force,  M3AS, Vol. 20, 1533-1552, 2010, https://doi.org/10.1142/S0218202510004684
  34. A. B. Subrahmanyam, J. Kuhnert, S. Tiwari, S. Sundar, A. Joshi, A. Saxena, Parallelization and load Balancing aspects of Finite Pointset Method, Int. Journal of Computer Mathematics, Vol. 59, 1532-1540, 2010, https://doi.org/10.1080/00207160903452210
  35. D, Zeidan, M. Attarakih, J. Kuhnert, S. Tiwari, V.K. Sharma, C. Drumm and H. -J. Bart, On a high-resolution Godunov method for a CFD-PBM coupled model of two-phase flow in liquid-liquid extraction columns, Int. J.  Comput Meth., Vol. 7, Issue 3 2010, https://doi.org/10.1142/S0219876210002283
  36. S. Tiwari, A. Klar, S. Hardt, A particle-particle hybrid method for kinetic and continuum equations, J. Comput. Phys. 228, 7109-7124, 2009, doi.org/10.1016/j.jcp.2009.06.019
  37. S. Hardt, S. Tiwari,  A. Klar, Momentum transfer to nanoobjects between isothermal parallel plates, Microfluid. Nanofluid. 6, 489-498, 2009, https://doi.org/10.1007/s10404-008-0327-z
  38. C. Drumm, S. Tiwari, J. Kuhnert and  H.-J. Bart, Finite Pointset Method for Simulation of the Liquid-Liquid Flow Field in an Extractor, Comput. Chem. Eng., 32, 2946, 2008, doi.org/10.1016/j.compchemeng.2008.03.009
  39. S. Tiwari, J. Kuhnert, C. Drumm, H.-J. Bart, Coupling of the CFD and the Droplet Population Balance Equation with Finite Pointset Method,  Lecture Notes in Computational Science and Engineering: Meshfree Methods for Partial Differential Equations IV, M. Griebel; M.A. Schweitzer (Eds.), Vol. 65, Springer Verlag, 2008, https://doi.org/10.1007/978-3-540-79994-8_18
  40. S. Tiwari, J. Kuhnert, Modeling of two-phase flows with surface tension by Finite Pointset Method (FPM),  J. Comp. Appl. Math., 203, 376-386, 2007, doi.org/10.1016/j.cam.2006.04.048
  41. S. Tiwari, S. Antonov, D. Hietel, J. Kuhnert and R. Wegener, A Meshfree Method for Simulations of Interactions between Fluids and Flexible Structures, Lecture Notes in Computational Science and Engineering: Meshfree Methods for Partial Differential Equations III , Vol. 57, Springer Verlag 2006, https://doi.org/10.1007/978-3-540-46222-4_15
  42. S. Tiwari, J. Kuhnert, A numerical scheme for solving incompressible and low Mach number flows by Finite Pointset Method, Lecture Notes in Computational Science and Engineering: Meshfree Methods for Partial Differential Equations II, Vol 43 , Springer Verlag 2005, https://doi.org/10.1007/3-540-27099-X_11
  43. D. Hietel, M. Junk, J. Kuhnert, S. Tiwari, Meshless Methods for Conservation Laws, In: Warnecke G. (eds) Analysis and Numerics for Conservation Laws. Springer, Berlin, Heidelberg, 2005, https://doi.org/10.1007/3-540-27907-5_15
  44. S. Tiwari, J. Kuhnert, Grid Free Method for Poisson Equation, Wavelet Analysis and Applications, New Age International (P), Ltd. Publishers, 2004.
  45. S. Tiwari, J. Kuhnert, Particle Method for Simulation of Free Surface Flows, Hyperbolic Problems: Theory, Numerics, Applications, T. Y. Hou and E. Tadmor (Eds), Springer Verlag, 2003, https://doi.org/10.1007/978-3-642-55711-8_84
  46. S. Tiwari, J. Kuhnert, A meshfree method for incompressible fluid flows with incorporated surface tension, Revue aurope'enne des elements finis,Volume 11, No. 7-8/2002, Taylor & Francis.
  47. I. Oleg, S. Tiwari, A generalized (meshfree) finite difference discretization for elliptic interface problems, Numerical Methods and Applications, Lecture notes in Computer Sciences, Springer Verlag, 2002, https://doi.org/10.1007/3-540-36487-0_55
  48. S. Tiwari, J. Kuhnert, Finite pointset method based on the projection method for simulations of the incompressible Navier-Stokes equations, Lecture  Notes in Computational Science and Engineering: Meshfree Methods for Partial Differential Equations, Vol 26, Springer Verlag, 2002, https://doi.org/10.1007/978-3-642-56103-0_26
  49. S. Tiwari, S. Manservisi, Incompressible Navier-Stokes Flows by Least Squares Approximation, The Nepali Math. Sc. Report, Vol 20, 2002.
  50. S. Tiwari, A LSQ-SPH approach for solving compressible viscous flows, International series of numerical mathematics,Vol. 141, Birkhaueser, 2000, https://doi.org/10.1007/978-3-0348-8372-6_44
  51. S. Tiwari, Application of Moment Realizability Criteria for the Coupling of the Boltzmann and Euler Equations, Transport Theory and Statistical Physics, Vol. 29, No. 7, 2000,
  52. doi.org/10.1080/00411450008200001
  53. S. Tiwari, Coupling of Boltzmann and Euler equations with automatic domain decomposition, J. Comp. Physics,  144, 710-726, 1998, doi.org/10.1006/jcph.1998.6011
  54. S. Tiwari, A. Klar, An Adaptive Domain Decomposition Procedure for Boltzmann and Euler Equations, J. Comp. Appl. Math., 90, 223-237, 1998, doi.org/10.1016/S0377-0427(98)00027-2
  55. S. Tiwari, S. Rjasanov, H^{-2} -Norm as a criterion of local thermal equilibrium, Eur. J. of Mech. B/ Fluids, 16, 863-876, 1997.