CFD lecture 18 - Computational Fluid Dynamics Lecture 18...

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Computational Fluid Dynamics Lecture 18 Shallow water equations and open boundaries Boundary Conditions: Real physical boundaries are not a major problem. () , w uot u = An artificial boundary is the difficult thing. “Open” or artificial boundaries occur whenever a domain is truncated. This occurs in most application in ocean modeling and can be the source of significant difficulties, contaminating the results in the interior of the domain by reflection. Formulating B.C. Four considerations: 1. Well-posed B.C. 2. B.C. describe the physical processes that occur at the boundary These don’t really require numerics. 3. Accuracy 4. Stability One-dimensional flow. Hyperbolic systems. 0 U tx ψ ∂∂ += 1
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Well posedness – Solution exists and is unique and depends continuously on initial & B.C.’s. A.B.C. is required at inflow; no condition should be imposed at outflow. If a B.C. is imposed at L , the problem will be overspecified. No specified function at x L = will work because the solution is already determined by the governing equation, the initial condition and the B.C. at
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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 18 - Computational Fluid Dynamics Lecture 18...

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