diff +rv/+time/RungekuttaInteriorRV.m @ 1012:1e437c9e5132 feature/advectionRV

Create residual viscosity package +rv and generalize the ResidualViscosity class - Generalize residual viscosity, by passing user-defined flux and calculating the time derivative outside of the update. - Create separate RungekuttaRV specifically using interior RV updates - Separate the artifical dissipation operator from the scheme AdvectionRV1D so that the same scheme can be reused for creating the diff op used by the ResidualViscosity class
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Wed, 05 Dec 2018 13:44:10 +0100
parents
children 2d7c1333bd6c
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/+rv/+time/RungekuttaInteriorRV.m	Wed Dec 05 13:44:10 2018 +0100
@@ -0,0 +1,42 @@
+classdef RungekuttaInteriorRV < time.Timestepper
+    properties
+        F       % RHS of the ODE
+        k       % Time step
+        t       % Time point
+        v       % Solution vector
+        n       % Time level
+        coeffs  % The coefficents used for the RK time integration
+        RV      % Residual Viscosity
+    end
+
+    methods
+        function obj = RungekuttaInteriorRV(F, k, t0, v0, RV, order)
+            obj.F = F;
+            obj.k = k;
+            obj.t = t0;
+            obj.v = v0;
+            obj.n = 0;
+            obj.RV = RV;
+            % Extract the coefficients for the specified order
+            % used for the RK updates from the Butcher tableua.
+            [s,a,b,c] = time.rk.butcherTableau(order);
+            obj.coeffs = struct('s',s,'a',a,'b',b,'c',c);
+        end
+
+        function [v, t] = getV(obj)
+            v = obj.v;
+            t = obj.t;
+        end
+
+        function state = getState(obj)
+            [residual, u_t, grad_f] = obj.RV.getResidual();
+            state = struct('v', obj.v, 'residual', residual, 'u_t', u_t, 'grad_f', grad_f, 'viscosity', obj.RV.getViscosity(), 't', obj.t);
+        end
+
+        function obj = step(obj)
+            obj.v = rv.time.rungekuttaRV(obj.v, obj.t, obj.k, obj.F, obj.RV, obj.coeffs);
+            obj.t = obj.t + obj.k;
+            obj.n = obj.n + 1;
+        end
+    end
+end
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