diff +time/Rungekutta4RV.m @ 815:fae41958af4f feature/burgers1d

Add support for artificial viscosity to the 1d burgers scheme. - Add support for artificial viscosity by parametrizing the discretization operator and boundary closure on the viscosity. - Add a time stepper which evaluates and updates the residual viscosity of the solution.
author Vidar Stiernstrom <vidar.stiernstrom@it.uu.se>
date Thu, 06 Sep 2018 12:43:51 +0200
parents
children d0934d1143b7
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/+time/Rungekutta4RV.m	Thu Sep 06 12:43:51 2018 +0200
@@ -0,0 +1,54 @@
+classdef Rungekutta4RV < time.Timestepper
+    properties
+        F
+        k
+        t
+        v
+        m
+        n
+
+        % Additional members used for the RV update
+        RV
+    end
+
+
+    methods
+        function obj = Rungekutta4RV(F, k, t0, v0, RV)
+            obj.F = F;
+            obj.k = k;
+            obj.t = t0;
+            obj.v = v0;
+            obj.m = length(v0);
+            obj.n = 0;
+            obj.RV = RV;
+        end
+
+        function [v, t] = getV(obj)
+            v = obj.v;
+            t = obj.t;
+        end
+
+        function [residual, viscosity, t] = getRV(obj)
+            residual = obj.RV.getResidual();
+            viscosity = obj.RV.getViscosity();
+            t = obj.t;
+        end
+
+        function obj = step(obj)
+            v_prev = obj.v;
+            F = @(v,t) obj.F(v, t, obj.RV.getViscosity());
+            obj.v = time.rk4.rungekutta_4(obj.v, obj.t, obj.k, F);
+            obj.t = obj.t + obj.k;
+            obj.n = obj.n + 1;
+            obj.RV.update(obj.v, v_prev, obj.k);
+        end
+    end
+
+
+    methods (Static)
+        function k = getTimeStep(lambda)
+            k = rk4.get_rk4_time_step(lambda);
+        end
+    end
+
+end
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