Low Mach

The (typically bad) performance of methods for compressible flow in the low Mach number regime is both an interesting (for mathematicians) and pressing (for simulators) problem. My work focuses on the asymptotics for the Euler equations and deals with the analysis of modifications to the upwinding matrices in Roe-type schemes and with multi-d solvers.


  • Subject overview (pdf)
  • Research overview (2014) (pdf)
  • Rosetta Stone of Index Notation (pdf)
  • Low Mach asymptotics (Dec 14, 2014) (pdf)
  • Linear stability of low Mach solvers (May 22, 2015)
  • Studying a Roe-type scheme for the low Mach number regime of inviscid hydrodynamics (July 2, 2015)
  • Construction of multi-d solvers for conservation laws (Aug 14, 2015) (pdf)
  • Poster (Nov 7, 2015) (pdf)
  • Multi-d Godunov method and exact solution of linearized Euler equations (Feb 2, 2016)
  • Some results on the numerics of linear hyperbolic systems in multiple space dimensions (Nov 25, 2016)
  • Numerically preserving stationary solutions: acoustics, gravity, nonlinear, higher order (Mar 30, 2017)
  • A genuinely two-dimensional scheme for linearized Euler (May 18, 2017)

    Last modified: Sun Dec 31 14:11:28 CET 2017