Mercurial > repos > public > sbplib
annotate +rv/+time/RungeKuttaRvInstage.m @ 1169:d02e5b8a0b24 feature/rv
Rename RungekuttaRV time steppers. Add RungekuttaRVMultiStage time stepper
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
---|---|
date | Fri, 28 Jun 2019 13:13:17 +0200 |
parents | +rv/+time/RungekuttaInteriorRv.m@010bb2677230 |
children | 9ac86ccfd6a1 |
rev | line source |
---|---|
1169
d02e5b8a0b24
Rename RungekuttaRV time steppers. Add RungekuttaRVMultiStage time stepper
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1152
diff
changeset
|
1 classdef RungekuttaRvInstage < time.Timestepper |
1012
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
2 properties |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
3 F % RHS of the ODE |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
4 k % Time step |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
5 t % Time point |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
6 v % Solution vector |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
7 n % Time level |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
8 coeffs % The coefficents used for the RK time integration |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
9 RV % Residual Viscosity |
1031
2ef20d00b386
For easier comparison, return both the first order and residual viscosity when evaluating the residual. Add the first order and residual viscosity to the state of the RungekuttaRV time steppers
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1030
diff
changeset
|
10 DvDt % Function for computing the time deriative used for the RV evaluation |
1012
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
11 end |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
12 |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
13 methods |
1169
d02e5b8a0b24
Rename RungekuttaRV time steppers. Add RungekuttaRVMultiStage time stepper
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1152
diff
changeset
|
14 function obj = RungekuttaRvInstage(F, k, t0, v0, RV, DvDt, order) |
1012
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
15 obj.F = F; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
16 obj.k = k; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
17 obj.t = t0; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
18 obj.v = v0; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
19 obj.n = 0; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
20 % Extract the coefficients for the specified order |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
21 % used for the RK updates from the Butcher tableua. |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
22 [s,a,b,c] = time.rk.butcherTableau(order); |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
23 obj.coeffs = struct('s',s,'a',a,'b',b,'c',c); |
1017
2d7c1333bd6c
Add support for using the ODE to approximate the time derivative in the residual
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1012
diff
changeset
|
24 obj.RV = RV; |
2d7c1333bd6c
Add support for using the ODE to approximate the time derivative in the residual
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1012
diff
changeset
|
25 obj.DvDt = DvDt; |
1012
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
26 end |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
27 |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
28 function [v, t] = getV(obj) |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
29 v = obj.v; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
30 t = obj.t; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
31 end |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
32 |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
33 function state = getState(obj) |
1152
010bb2677230
Clean up in +rv/+time. Make the time stepping more efficient by not storing unnessecary properties in the RK-RV time steppers
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1031
diff
changeset
|
34 dvdt = obj.DvDt(obj.v); |
010bb2677230
Clean up in +rv/+time. Make the time stepping more efficient by not storing unnessecary properties in the RK-RV time steppers
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1031
diff
changeset
|
35 [viscosity, Df, firstOrderViscosity, residualViscosity] = obj.RV.evaluate(obj.v, dvdt); |
010bb2677230
Clean up in +rv/+time. Make the time stepping more efficient by not storing unnessecary properties in the RK-RV time steppers
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1031
diff
changeset
|
36 state = struct('v', obj.v, 'dvdt', dvdt, 'Df', Df, 'viscosity', viscosity, 'residualViscosity', residualViscosity, 'firstOrderViscosity', firstOrderViscosity, 't', obj.t); |
1012
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
37 end |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
38 |
1152
010bb2677230
Clean up in +rv/+time. Make the time stepping more efficient by not storing unnessecary properties in the RK-RV time steppers
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1031
diff
changeset
|
39 % Advances the solution vector one time step using the Runge-Kutta method given by |
010bb2677230
Clean up in +rv/+time. Make the time stepping more efficient by not storing unnessecary properties in the RK-RV time steppers
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1031
diff
changeset
|
40 % obj.coeffs, updating the Residual Viscosity in each Runge-Kutta stage |
1012
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
41 function obj = step(obj) |
1017
2d7c1333bd6c
Add support for using the ODE to approximate the time derivative in the residual
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
1012
diff
changeset
|
42 obj.v = rv.time.rungekuttaRV(obj.v, obj.t, obj.k, obj.F, obj.RV, obj.DvDt, obj.coeffs); |
1012
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
43 obj.t = obj.t + obj.k; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
44 obj.n = obj.n + 1; |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
45 end |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
46 end |
1e437c9e5132
Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff
changeset
|
47 end |