CFD lecture 19 - Computational Fluid Dynamics Lecture 19 We...

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Computational Fluid Dynamics Lecture 19 We will examine open boundary conditions of 5 types. 1. Constant advection with one way wave equation with c * 2 = and 3. 2. Zero gradient condition 3. Rayleigh damping region with: a. 10 grid points b. 20 grid points c. 100 grid points 4. Orlanski equation 5. Time averaged Orlanski method with a time average of 1s. The test problem is Burgers equation on the intervals 0 x 1 0 < < with an open boundary at ( ) 10 x xL == 03 0 x << and the reference “exact” solution is the same problem solved on the interval . Burgers equation is” () 2 2 suggested initial conditions are 2 ,0 2 sin on the interval 0 and 2 for . x xx uu u uv txx x ux L x Lu x x L π ∂∂∂ +=  =+   = > An appropriate small value of v should be determined by experimentation such that it is large enough that the propagating wave does not “break” during the simulation. The boundary condition at () ( 0 is 0, 2 sin ) x ut c t + where we are considering a linear wave propagating into the domain 2 sin , , x kx t c k k L ω −==
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This note was uploaded on 06/08/2011 for the course EOC 6850 taught by Professor Slinn during the Spring '07 term at University of Florida.

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CFD lecture 19 - Computational Fluid Dynamics Lecture 19 We...

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