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Showing results 1 to 7 of 7 Search took 0.00 seconds. Search: Posts Made By: cdegroot

Forum: Main CFD Forum May 17, 2012, 13:28

Replies: 15 Exact solution for 2D inviscid burgers equation. Views: 6,935 Posted By cdegroot Okay maybe you are right, but you must agree that... Okay maybe you are right, but you must agree that is what the person who posted stated at the beginning of this thread. I think you are right that physically it does not make sense as an advection...

Forum: Main CFD Forum May 17, 2012, 12:56

Replies: 15 Exact solution for 2D inviscid burgers equation. Views: 6,935 Posted By cdegroot I think he means: u_t + uu_x + uu_y = 0 ... I think he means: u_t + uu_x + uu_y = 0 True?

Forum: Main CFD Forum May 17, 2012, 11:42

Replies: 15 Exact solution for 2D inviscid burgers equation. Views: 6,935 Posted By cdegroot Actually since u = sin(pi*xi) you can simplify a... Actually since u = sin(pi*xi) you can simplify a but further to: x = sin(pi*xi)*t + xi u = sin(pi*xi) However, plotting the characteristics given by the first equation, they are definitely...

Forum: Main CFD Forum May 17, 2012, 11:26

Replies: 15 Exact solution for 2D inviscid burgers equation. Views: 6,935 Posted By cdegroot In the 1D case you have: u_t + uu_x = 0 This... In the 1D case you have: u_t + uu_x = 0 This implies: du/dt = u_t + dx/dt*u_x = 0 Then choose: dx/dt = u so that the two equations above are equivalent. This leaves you with the following ODE...

Forum: Main CFD Forum May 17, 2012, 00:57

Replies: 15 Exact solution for 2D inviscid burgers equation. Views: 6,935 Posted By cdegroot Yes that looks correct. Yes that looks correct.

Forum: Main CFD Forum May 17, 2012, 00:32

Replies: 15 Exact solution for 2D inviscid burgers equation. Views: 6,935 Posted By cdegroot I don't know off hand the solution to the... I don't know off hand the solution to the problem, I was just making the suggestion to look into method of characteristics since it is used for hyperbolic PDE. See if you can find a copy of "An...

Forum: Main CFD Forum May 17, 2012, 00:19

Replies: 15 Exact solution for 2D inviscid burgers equation. Views: 6,935 Posted By cdegroot Have you looked into the method of... Have you looked into the method of characteristics?

Showing results 1 to 7 of 7

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