Technomathematics Group

Dr. Sudarshan Tiwari

Office: 48-575

Phone: +49 (0)631 205 4133

E-mail: tiwari(at)

  1. 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
  2. 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,
  3. T. Baier, S. Tiwari, S. Shrestha, H. Hardt, A. Klar, Thermophoresis of Janus particles at large Knudsen numbers, Accepted in Physical Review Fluids, 2018.
  4. N. K. Mahato, A. Klar,  A meshfree particle method for a vision-based macroscopic pedestrian model, Int. J. Adv. Eng. Sci. Appl.Math, 2018,
  5. P. Suchde, J. Kuhnert, S. Tiwari, On Meshfree GFDM Solvers for the Incompressible Navier - Stokes Equations, Computers and Fluids 165 (2018) 1-12,
  6. N. K. Mahato, A. Klar, S. Tiwari, Particle methods for multi-group pedestrian flow, Appl. Math. Modelling 53 (2018) 447-46, 
  7. 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,
  8. 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,
  9. 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,
  10. S. Tiwari, A. Klar, S. Hardt, Numerical simulation of wetting phenomena by a meshfree particle method, J. Comp.  Appl.  Math. 292 (2016) 469–485,
  11.  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,
  12. 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
  13. 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,
  14. 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,
  15. 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
  16.  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,
  17. 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,
  18. 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. 
  19. 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
  20. A. Pandey, A. Klar, S. Tiwari, Meshfree method for fluctuating hydrodynamics, Mathematics and Computers in Simulation. 82, (11), 2157-2166, 2012,
  21. 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,
  22. 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,
  23. J. A. Carrillo, A. Klar and S. Martin, S. Tiwari, Self propelled interacting particle systems with roosting force,  M3AS, Vol. 20, 1533-1552, 2010,
  24. 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,
  25. 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,
  26. S. Tiwari, A. Klar, S. Hardt, A particle-particle hybrid method for kinetic and continuum equations, J. Comput. Phys. 228, 7109-7124, 2009,
  27. S. Hardt, S. Tiwari,  A. Klar, Momentum transfer to nanoobjects between isothermal parallel plates, Microfluid. Nanofluid. 6, 489-498, 2009,
  28. 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,
  29. 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,
  30. 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,
  31. 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,
  32. 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,
  33. 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,
  34. S. Tiwari, J. Kuhnert, Grid Free Method for Poisson Equation, Wavelet Analysis and Applications, New Age International (P), Ltd. Publishers, 2004.
  35. 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,
  36. 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.
  37. 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,
  38. 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,
  39. S. Tiwari, S. Manservisi, Incompressible Navier-Stokes Flows by Least Squares Approximation, The Nepali Math. Sc. Report, Vol 20, 2002.
  40. S. Tiwari, A LSQ-SPH approach for solving compressible viscous flows, International series of numerical mathematics,Vol. 141, Birkhaueser, 2000,
  41. 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, 
  43. S. Tiwari, Coupling of Boltzmann and Euler equations with automatic domain decomposition, J. Comp. Physics,  144, 710-726, 1998,
  44. S. Tiwari, A. Klar, An Adaptive Domain Decomposition Procedure for Boltzmann and Euler Equations, J. Comp. Appl. Math., 90, 223-237, 1998,
  45. S. Tiwari, S. Rjasanov, H^{-2} -Norm as a criterion of local thermal equilibrium, Eur. J. of Mech. B/ Fluids, 16, 863-876, 1997.
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