Changes between Version 14 and Version 15 of doc/tec/rk3
- Timestamp:
- Feb 23, 2021 3:49:18 PM (4 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
doc/tec/rk3
v14 v15 41 41 }}} 42 42 43 For reasons of clarity the [../../app/ini par#timestep_scheme time integration] for several schemes (further schemes are: Leapfrog, Euler and 2^nd^ order Runge-Kutta scheme) is implemented as follows (here e.g. the u-component of velocity):43 For reasons of clarity the [../../app/initialization_parameters#timestep_scheme time integration] for several schemes (further schemes are: Leapfrog, Euler and 2^nd^ order Runge-Kutta scheme) is implemented as follows (here e.g. the u-component of velocity): 44 44 45 45 … … 59 59 || {{{1}}} || {{{8/15}}} || {{{1/15}}} || {{{0}}} || {{{1}}} || 3^rd^ substep 60 60 61 {{{u_p}}} is the prognosticated and {{{u}}} the current velocity at each substep. {{{u_m}}} denotes the velocity of the previous 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/ini par#psolver pressure solver] and {{{tsc(5)}}} the [../../app/inipar#rayleigh_damping_factor rayleigh damping].61 {{{u_p}}} is the prognosticated and {{{u}}} the current velocity at each substep. {{{u_m}}} denotes the velocity of the previous 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/initialization_parameters#psolver pressure solver] and {{{tsc(5)}}} the [../../app/initialization_parameters#rayleigh_damping_factor rayleigh damping]. 62 62 63 63