Mat-1.3656 Seminar on
numerical analysis and computational science
Monday, Dec 3, 2012, room
U322 at 14.15, Eirola & Stenberg
Matteo Parsani, King Abdullah University of Science and Technology (KAUST)
Optimized explicit Runge-Kutta schemes for the spectral difference method
Explicit Runge--Kutta schemes with large stable step sizes are developed
for integration of high order spectral difference spatial
discretization on quadrilateral grids. The new schemes permit an
effective time step that is substantially larger than the maximum
admissible time step of standard explicit Runge--Kutta schemes available
in literature. Furthermore, they have a small principal error norm
and admit a low-storage implementation. The advantages of the new
schemes are demonstrated through application to the Euler equations and
the linearized Euler equations in both in two- and three-dimensional
space.