I don't think you can unless you have a lot, and I do mean a LOT of money you can afford to spend, and plenty of computer memory to load it on to. The only programs and simulation software I know of...which could be reasonably accurate...are all on the big machines of the sort used by universities, laboratories, and designers such as Gibbs and Cox.
I think ship Simulator has the Titanic as one of its models, but I understand they are only very basic. I also saw a review where you can click "Submerge craft" and sink the boats, although from what I can gather, they all just sink the same.
See for yourself here:
I too had the same problem that I wanted to play a game which sank ships, the ones suggested above are alright but the best I have ever played is "Sinking Simulator". it is a lot like the powder game and is completely free, all you need to do is download it and it comes with heaps of premade ships like the Titanic and the Britannic, also Cunard liners such as the Mauritania and the Lusitania. there are also famous war time ships like the HMAS Hood and the German ship Bismarck. there are several submarines and lots of others.