Numerical Methods for Fluid Dynamics

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Event-by-Event Simulation of the Three-Dimensional Hydrodynamic Evolution from Flux Tube Initial Conditions in Ultrarelativistic Heavy Ion Collisions (2010, methodology): “This is the base of the Godunov method [109], which also implies that the distributions of variables inside a cell are piecewise linear (or piecewise parabolic etc, depending on the order of the numerical scheme), which forms a Riemann problem at each cell interface.”
The pros and cons of diffusion, filters and fixers in Atmospheric General Circulation Models (2011, methodology): “Here, n denotes the total (also called spherical) wavenumber and m stands for the zonal wavenumber as discussed in textbooks like Kalnay (2003) or Durran (1999, 2010).”
Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems (2012, methodology): “The only complication arises in the analysis of the Asselinfiltered leapfrog scheme, where it is assumed that ~ Aq 5 A~ q and ~ ~ Aq 5 A ~ ~ q (see Durran 2010, p. 65).”