Mercurial > repos > public > sbplib
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 |
line wrap: on
line source
% 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