## Semi-Lagrangian Method: Periodic

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: