Semi-Lagrangian Method: Periodic
Time:
Time Steps:
Time Steps:
Assume that the domain is from $$x=0$$ to $$x=3$$ and that the wave has a period $$\frac{1}{c}$$.
Choose the wave speed $$c$$, step size $$\Delta x$$, and the CFL number $$\geq1$$.
Note the large calculated step time $$\Delta t$$ and the number of time steps which should be a multiple of 10, or no more than 10.
Click SOLVE to observe the initial condition in blue and the computed Upwind solution in red.
Initial Condition: $$e^{-200(x - .5)^2}$$
Wave Speed $$c=$$
$$\Delta x=$$
CFL =
H =
The time step $$\Delta t$$ is:
Time steps per period:
