// Runge-Kutta - 4th order
void RungeKutta()
{
// The stepsize
const double h = 0.005;
Vecd k1v = h * gVelocities;
Vecd k1f = h * SumForces(gPositions, gVelocities);
Vecd k2v = h * (gVelocities + k1f/2.0);
Vecd k2f = h * SumForces(gPositions + k1v/2.0, gVelocities + k1f/2.0);
Vecd k3v = h * (gVelocities + k2f/2.0);
Vecd k3f = h * SumForces(gPositions + k2v/2.0, gVelocities + k2f/2.0);
Vecd k4v = h * (gVelocities + k3f);
Vecd k4f = h * SumForces(gPositions + k3v, gVelocities + k3f);
gVelocities += k1f/6 + k2f/3 + k3f/3 + k4f/6;
gPositions += k1v/6 + k2v/3 + k3v/3 + k4v/6;
}
Runge-Kutta 4th Order
I'm trying to do a particle simulation and I think my Runge-Kutta algorithm is working but I'm not sure if it is completely correct. The error may also be when I calculate the force but I think its in here. Am I doing it incorrectly?
f=acceleration...
A useful way to check an integrator is to apply it to a problem where you already know the answer. Then you can compare the numerical result to the analytic result to make sure the integrator is behaving as you expect.
This topic is closed to new replies.
Advertisement
Popular Topics
Advertisement