Page 2 of 2 FirstFirst 12
Results 16 to 17 of 17

Math Help - 1D wave equation open boundary

  1. #16
    Newbie
    Joined
    Jul 2010
    Posts
    8
    Quote Originally Posted by CaptainBlack View Post
    Another probably useless idea: Place the far end of the space grid sufficiently far from the region that you are going to perturb that the signal will not reach it in the time interval you are going to compute over (so if you are going to run the model from 0 to t place the far space boundary out at kct where k is of the order of a few and c the wave propagation speed). Then use a zero boundary condition at the end.

    CB
    I have first done it this way. But, for my experiments (3D), a grid should be at least 1000x1000x1000xtime in this case, and it is very memory consuming. Your first idea about a transformation is interesting, but I'm not sure how will the different grid size influence the stability.
    Follow Math Help Forum on Facebook and Google+

  2. #17
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by emirs View Post
    Your first idea about a transformation is interesting, but I'm not sure how will the different grid size influence the stability.
    Note sure (I did say I had my doubts, and the more I think about it the more serious they are), you could try the 1-D case and see how that works out.

    CB
    Follow Math Help Forum on Facebook and Google+

Page 2 of 2 FirstFirst 12

Similar Math Help Forum Discussions

  1. Closed, open, int, adh and boundary
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: March 31st 2011, 05:37 AM
  2. Prove a set is open iff it does not contain its boundary points
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: February 24th 2011, 07:16 PM
  3. boundary & initial conditions for wave equation
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: October 17th 2009, 05:48 PM
  4. Solving a wave equation with inhomogeneous boundary conditions
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: May 3rd 2009, 03:11 PM
  5. wave equation and Dirichelt boundary condition... HELP!! :(
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: September 30th 2006, 10:22 PM

Search Tags


/mathhelpforum @mathhelpforum