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annotate +rv/+time/RungekuttaExteriorRvBdf.m @ 1033:037f203b9bf5 feature/burgers1d

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Merge with branch feature/advectioRV to utilize the +rv package
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 17 Jan 2019 10:44:12 +0100
parents 2ef20d00b386
children 010bb2677230
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dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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1 classdef RungekuttaExteriorRvBdf < time.Timestepper
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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2 properties
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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3 F % RHS of the ODE
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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4 k % Time step
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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5 t % Time point
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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6 v % Solution vector
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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7 n % Time level
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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8 coeffs % The coefficents used for the RK time integration
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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9
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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10 % Properties related to the residual viscositys
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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11 RV % Residual Viscosity operator
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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12 v_prev % Solution vector at previous time levels, used for the RV evaluation
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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13 DvDt % Function for computing the time deriative used for the RV evaluation
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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14 lowerBdfOrder % Orders of the approximation of the time deriative, used for the RV evaluation.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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15 % dictates which accuracy the boot-strapping should start from.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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16 upperBdfOrder % Orders of the approximation of the time deriative, used for the RV evaluation.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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17 % Dictates the order of accuracy used once the boot-strapping is complete.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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18
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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19 % Convenience properties. Only for plotting
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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
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20 viscosity % Total viscosity
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
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21 residualViscosity % Residual viscosity
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
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22 firstOrderViscosity % first order viscosity
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23 dvdt % Evaluated time derivative in residual
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24 Df % Evaluated flux in residual
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dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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25 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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26 methods
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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27 function obj = RungekuttaExteriorRvBdf(F, k, t0, v0, RV, rkOrder, bdfOrders)
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28 obj.F = F;
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29 obj.k = k;
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30 obj.t = t0;
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31 obj.v = v0;
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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32 obj.n = 0;
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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33 % Extract the coefficients for the specified rkOrder
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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34 % used for the RK updates from the Butcher tableua.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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35 [s,a,b,c] = time.rk.butcherTableau(rkOrder);
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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36 obj.coeffs = struct('s',s,'a',a,'b',b,'c',c);
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37
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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38 obj.RV = RV;
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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39 % TBD: Decide on if the initialization of the previous stages used by
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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40 % the BDF should be done here, or if it should be checked for each
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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41 % step taken.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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42 % If it is moved here, then multiple branching stages can be removed in step()
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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43 % but this will effectively result in a plotted simulation starting from n = upperBdfOrder.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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44 % In addition, the properties lowerBdfOrder and upperBdfOrder can be removed.
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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45 obj.lowerBdfOrder = bdfOrders.lowerBdfOrder;
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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46 obj.upperBdfOrder = bdfOrders.upperBdfOrder;
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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47 assert((obj.lowerBdfOrder >= 1) && (obj.upperBdfOrder <= 6));
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48 obj.v_prev = [];
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49 obj.DvDt = rv.time.BdfDerivative();
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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50 obj.viscosity = zeros(size(v0));
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51 obj.firstOrderViscosity = zeros(size(v0));
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52 obj.residualViscosity = zeros(size(v0));
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53 obj.dvdt = zeros(size(v0));
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54 obj.Df = zeros(size(v0));
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55 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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56
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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57 function [v, t] = getV(obj)
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58 v = obj.v;
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59 t = obj.t;
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60 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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61
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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62 function state = getState(obj)
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63 state = struct('v', obj.v, 'dvdt', obj.dvdt, 'Df', obj.Df, 'viscosity', obj.viscosity, 'residualViscosity', obj.residualViscosity, 'firstOrderViscosity', obj.firstOrderViscosity, 't', obj.t);
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dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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64 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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65
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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66 function obj = step(obj)
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67 % Store current time level and update v_prev
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68 numStoredStages = size(obj.v_prev,2);
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69 if (numStoredStages < obj.upperBdfOrder)
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70 obj.v_prev = [obj.v, obj.v_prev];
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71 numStoredStages = numStoredStages+1;
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72 else
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73 obj.v_prev(:,2:end) = obj.v_prev(:,1:end-1);
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74 obj.v_prev(:,1) = obj.v;
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75 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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76
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
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77 % Fix the viscosity of the RHS function F
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78 F_visc = @(v,t) obj.F(v,t,obj.viscosity);
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79 obj.v = time.rk.rungekutta(obj.v, obj.t, obj.k, F_visc, obj.coeffs);
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80 obj.t = obj.t + obj.k;
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81 obj.n = obj.n + 1;
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82
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83 %Calculate dvdt and evaluate RV for the new time level
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84 if ((numStoredStages >= obj.lowerBdfOrder) && (numStoredStages <= obj.upperBdfOrder))
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85 obj.dvdt = obj.DvDt.evaluate(obj.v, obj.v_prev, obj.k);
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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
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86 [obj.viscosity, obj.Df, obj.firstOrderViscosity, obj.residualViscosity] = obj.RV.evaluate(obj.v,obj.dvdt);
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87 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
88 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
89 end
dce08a74e0ad Create a separate class of RungekuttaExteriorRV which uses BDFs for computing the time derivative. Remove BDFs from RungekuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
90 end