Address

Max Planck Institute für Dynamics of Complex Technical Systems, Magdeburg

Web

www.mpi-magdeburg.mpg.de

Research Area

Non-linear and data-driven model reduction of hyperbolic equations, entropy stable and adaptive numerical schemes for kinetic equations, a-priori and a-posteriori error analysis, software development for scientific computing

Publications

• Simultaneous-approximation-term based boundary discretization for moment equations of rarefied gas dynamics
  N. Sarna, H. Kapadia, and M. Torrilhon
  J. Comput. Phys. 407 (2020), 109243, 31 pp.
  doi: 10.1016/j.jcp.2020.109243

• Convergence Analysis of Grad’s Hermite Expansion for Linear Kinetic Equations
  N. Sarna, J. Giesselmann, and M. Torrilhon
  SIAM J. Numer. Anal. 58 (2020), no. 2, 1164–1194
  doi: 10.1137/19M1270884

• Moment Method for the Boltzmann Equation of Reactive Quaternary Gaseous Mixture
  N. Sarna, G. Oblapenko, and M. Torrilhon
  Phys. A 574 (2021), Paper No. 125874, 19 pp.
  doi: 10.1016/j.physa.2021.125874
  Preprint arXiv:2009.03013

• Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries
  N. Sarna and M. Torrilhon
  J. Comput. Phys. 369 (2018), 16–44
  doi: 10.1016/j.jcp.2018.04.050

• On stable wall boundary conditions for the Hermite discretization of the linearised Boltzmann equation
  N. Sarna and M. Torrilhon
  J. Stat. Phys. 170 (2018), no. 1, 101–126
  doi: 10.1007/s10955-017-1910-z

• Hierarchical Boltzmann simulations and model error estimation
  M. Torrilhon and N. Sarna
  J. Comput. Phys. 342 (2017), 66–84
  doi: 10.1016/j.jcp.2017.04.041

• On the moments of the Boltzmann’s collision operator arising from chemical reactions
  N. Sarna and M. Torrilhon
  AIP Conference Proceedings 1786, 140005 (2016)
  doi: 10.1063/1.4967636