ENO scheme: (Shu and Osher)

J. K

Hi all,

I am implementing an ENO's scheme in a F.V. method. I am trying to write a simple 1-D code at present. However, I know that I need to use the divided differences (I want to use a 3rd order accurate polynomial) to calculate the "smoothness" and hence the relevant node to add to my stencil. However, lets say my fluid is going from left to right, and I have 100 cells. Now, if I want to implement a scheme which uses the 3rd divided differences, then, say, if my current cell is cell 98 (or 99), I don't have enough cells to the right of cell 98 (or 99) to complete the calculation of a 3rd divided difference. My question is, if this is the case, then do I have to use an ENO's scheme of lower order at the right boundary, and also, how do I apply the ooutflow B.C. The former question is the most pressing. Thank you all. John.