sparse martix in unstructured grid
 

hi friends;
Coefficient matrix in NS equations (Turbulence model equations and ...) are extremely large, and if it is defined as A(E,E) (E: number of cells), computer can not compile this huge data. one way is using the methods were introduced in dealing with sparse matrix [1] (CDS,CRS, ... ).
now I want to know whether or not specific methods have been introduced which are suitable for CFD particularly in unstructured Grid?

thank you so much in advance.

[1] Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods", Ch. 4, available in: http://www.siam.org/books

Yes, sparse matrix representations are absolutely mandatory for CFD problems. I have developed in a number of CFD codes and certainly we store our matrices in a sparse format, e.g. Yale sparse matrix format.

Dear cdegroot;
Thank you so much. do you know which method is more suitable for CFD, particularly in unstructured grid which does not have a regular data structure or is not a banded matrix?

https://en.wikipedia.org/wiki/Sparse_matrix

I typically use the Yale format, but I am sure others are suitable.

any sparse matrix storage form is suitable for the cfd computation.
for example, coordiniate form, csr form, csc form, and the other.
you can download the sparskit from
http://www-users.cs.umn.edu/~saad/software/
to find transformation between different matrix form.