BibTeX
@ARTICLE{
         Bucker2009OCe,
       author = "H.~M. B{\"u}cker and B. Pollul and A. Rasch",
       title = "On {CFL} evolution strategies for implicit upwind methods in linearized {E}uler
         equations",
       journal = "International Journal for Numerical Methods in Fluids",
       pages = "1--18",
       doi = "10.1002/fld.1798",
       abstract = "In implicit upwind methods for the solution of linearized Euler equations, one of
         the key issues is to balance large time steps, leading to a fast convergence behavior, and small
         time steps, needed to sufficiently resolve relevant flow features. A time step is determined by
         choosing a Courant-Friedrichs-Levy (CFL) number in every iteration. A novel CFL evolution strategy
         is introduced and compared with two existing strategies. Numerical experiments using the adaptive
         multiscale finite volume solver QUADFLOW demonstrate that all three CFL evolution strategies have
         their advantages and disadvantages. A fourth strategy aiming at reducing the residual as much as
         possible in every time step is also examined. Using automatic differentiation, a sensitivity
         analysis investigating the influence of the CFL number on the residual is carried out confirming
         that, today, CFL control is still a difficult and open problem.",
       volume = "59",
       number = "1",
       year = "2009",
       ad_area = "Computational Fluid Dynamics",
       ad_tools = "ADIFOR"
}