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STAGES - Multi-stage time stepping

Structured Grids

STAGES ityp [COEFFICIENTS x1 x2 ... xn] [zone_selector]

For structured grids, this keyword allows the user to use a Runge-Kutta time stepping option. The parameter ityp specifies the number of stages, and x1 x2 ... xn specify the coefficients. The following ityp values are available:

ityp Stages Order Description
011Backward Euler method
142Jameson style low-storage Runge-Kutta
263Williamson's low-storage Runge-Kutta
323Van Leer-Tai-Powell optimal smoothing method
433Van Leer-Tai-Powell optimal smoothing method
533Wray's minimal storage Runge-Kutta
694Wray's minimal storage Runge-Kutta
722Simple two-stage Runge-Kutta

The number of required coefficients and their default values are:

ityp # Coefs Default Values
141/4, 1/3, 1/2, 1
260, 1/3, -5/9, 15/16, -153/128, 8/15
321/3, 1
430.1481, 0.40, 1
551/4, 8/15, 0, 5/12, 3/4
690.13777497, 0.41883005, 0.38832895, 0.88635766, 0.14633970, -1.0364937, 0.0037218696, -0.087624810, 0.32383451
721/2, 1

Last updated 30 Sep 2016