Questions tagged [finite-difference-methods]

I'm using 6th order tri-diagonal differencing scheme as described in Lele for a turbulence DNS. I want to find out the smallest possible turbulent structure that can be run in the DNS. My questions are. Does eddy size matter wrt the differencing…

Context: This question arises from https://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/Chapter11.pdf (specifically problem 26 on page 427). The problem asks one to prove that a proffered equation (i.e., $f_k\!=\!k(n-k)$)…

I am taking a numerical analysis course and we are discussing solving the advection equation using finite differencing. My professor said that central differencing in time might not work for the $\frac{\partial f}{\partial t}$ term but didn't go…