Day20-slides - A tm s 5 0 2 N u m e r ic a l F lu id D y n...

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1 Atms 502 Numerical Fluid Dynamics Tue., Oct. 31, 2006 Diffusion 10/31/06 Atms 502 - Fal 2006 - Jewett 3 Diffusion Now start to consider multiple processes. Your approach could be: Add up terms, e.g. u3=u1+(advection)+(diffusion)+. . Compute tendencies (contribution) from each, and add, to get A (n+1) Compute one process separately (e.g. advection), update , and use this result to compute the second process (e.g. diffusion) This is known as process splitting Let’s first just look at diffusion. 10/31/06 Atms 502 - Fal 2006 - Jewett 4 Diffusion: single step What if you just wanted a 1-step filter? Reference: Haltiner and Williams, Chap. 11 A simple 1D, 3-point filter: No t appears here; this is a 1-pass operation. What does this do to our function? S=1/2: 2 x waves are eliminated in one pass. Can do “desmoothing” with S<0 (S = +1/2,-1/2)
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This note was uploaded on 10/06/2009 for the course ATMOSPHERI 502 taught by Professor Jewett during the Spring '09 term at University of Illinois at Urbana–Champaign.

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Day20-slides - A tm s 5 0 2 N u m e r ic a l F lu id D y n...

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