# ComputerProb3 - Sep 26 2006 ATMS 502 CS 505 CSE 566 Jewett...

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1 Sep. 26, 2006 ATMS 502 - CS 505 - CSE 566 Jewett Computer Problem 3 1D Adaptive Nesting Due : beginning of class – Thursday, Oct. 12 Turn in : your code (printed out, and also emailed to me), and plotted results (on paper). Problem being solved: linear advection equation using automatic grid nesting . Evaluation: you will overlay the true solution with each of your numerical results, as well as save/plot maximum absolute value vs. time for each case. Method: Lax-Wendroff, with nesting . Nesting ratio: variable – you will read this in . Your code must not be “hardwired” for this nest ratio – treat this as a variable throughout your code. Constants: Use the following in your calculations: ν = 0.5 Nest ratio = 4 x = 1.0 (grid 1) nx = 121 (both grids .) c = 5.0 t = ν x/c Width (cone) = 10 Width (square) = 20 Domain: x(i)= x(i-1), i=1,. ..,nx. The periodic coarse grid domain length is nx ( x), as in computer problem 2. Initial conditions : same as program 2, except the initial center location x ctr of the cone or square is 3*width/2 rather than the middle of the coarse grid domain. Boundary conditions:

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ComputerProb3 - Sep 26 2006 ATMS 502 CS 505 CSE 566 Jewett...

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