Changes between Version 9 and Version 10 of doc/tec/rk3

Timestamp:

Jan 10, 2011 3:09:19 PM (14 years ago)

Author:

suehring

Comment:

--

doc/tec/rk3

@@ -57 +57 @@
 
 {{{u_p}}} is the prognosticated and {{{u}}} the current velocity at each substep. {{{u_m}}} denotes the velocity of the last substep (needed for Leapfrog). {{{tend}}} is the current tendency and {{{tu_m}}} the combined tendencies of the prior substeps. {{{tsc(4)}}} steers the preconditioning of the [../../app/inipar#psolver pressure solver] and {{{tsc(5)}}} the [../../app/inipar#rayleigh_damping_factor rayleigh damping].  
+
+
+=== References ===  
+
+
+* '''Baldauf, M., 2008:''' Stability analysis for linear discretisations of the advection equation with Runge-Kutta time integration. ''J. Comput. Phys.'', '''227''', 6638-6659.
+
+* '''Durran, D. R., 1999:''' ''Numerical methods for wave equations in geophysical fluid dynamics.'' Springer Verlag, New York, 1. Auf\/l., 465 S.
+
+* '''Williamson, J. H., 1980:''' Low-storage Runge-Kutta schemes. ''J. Comput. Phys.'', '''35''', 48-56.