I'm not quite sure how you implement the method you suggested. If you extend your domain, aren't you still going to have the same problem except with a larger domain? The solution still has to be in the form of a tridiagonal matrix.
Unfortunately I can't use a periodic domain as I want to...
Sorry, maybe my description isn't quite clear enough. Essentially I'm considering an infinitely long cyclinder, such that I'm only considering temperature changes in the radial direction which is assumed independent of \theta and z. Therefore the 1D governing equation still holds, but the...
Hi, I have written a numerical code to solve the 1D heat equation in cyclindrical coordinates:
\frac{\partial T}{\partial t}=\kappa\left(\frac{\partial^{2}T}{\partial r^{2}}+\frac{1}{r}\frac{\partial T}{\partial r}\right)
The problem I'm considering is a hollow cylinder in an infinite...
Hi, I want to numerically model the advection equation using the Crank-Nicolson scheme. Yes, I know that it is highly oscillatory but that is the point of the exercise as I want to highlight this. The problem I'm having is how do I apply the BC for grid point N in the scheme. The advection...
I should probably know the answer to this but anyway...
I want to compute the critical buckling load for a simple 3D rectangular cross-section beam, though the thickness in the z-direction is small.
If a load is applied in the negative y direction, which direction do I use for my...
Hi,
I have a problem with the experimental buckling load that I have deduced for a compressive axial load applied to a tube of circular cross section. The buckling load is 2.34% larger than the theoretical buckling load! The beam is connected to supports via knife edges; these are rigid bodies...
Hi,
What is the best way to design the root region of a wind turbine blade (for a small model turbine: 0.7m diameter, Re ~ 10,000)? So far we've selected our airfoil and calculated the chord lengths (proprtional to 1/R) but can't find any mathematics on the root region. At what point should...