view +time/+rk/rungekutta_4.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 c6fcee3fcf1b
children
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% Takes one time step of size dt using the rungekutta method
% starting from v_0 and where the function F(v,t) gives the
% time derivatives.
function v = rungekutta_4(v, t , dt, F)
    k1 = F(v         ,t      );
    k2 = F(v+0.5*dt*k1,t+0.5*dt);
    k3 = F(v+0.5*dt*k2,t+0.5*dt);
    k4 = F(v+    dt*k3,t+    dt);
    v = v + (1/6)*(k1+2*(k2+k3)+k4)*dt;
end