Arduino on the go

Finally I got a suitable USB cable for Arduino. You can see the LED is on, it's blinking!

Boundary condition in Finite different scheme

It's time to keep track of my progress in PhD program.

While solving the 1-D in duct problem with finite different (FD) scheme (please go to the project page for more accurate detail: http://acoubulence.zxq.net/), implementing the boundary condition, as well as the numerical integral, is a tricky part to such a beginner like me.

The homogeneous Dirichlet condition is sort of easier to make; but the homogeneous Dirichlet condition at the center of the duct is not that straightforward. Since the FD scheme I am using now is central FD, an extrapolated point is set to describe the derivative of the center point, but the calculated results were incorrect.

After talking with Ardeshir I am going to use forward difference at the center point instead. Actually I am still curious about what the results will look like if using two FD scheme in one simulation. I will try to show the results (hope are positive ones) in the next post.