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

This preview shows pages 1–2. Sign up to view the full content.

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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## 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.

### Page1 / 3

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online