Washington Experimental Mathematics Lab Randomly Mixing Fluids - - PowerPoint PPT Presentation

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Sep 13, 2023 160 likes •244 views

Washington Experimental Mathematics Lab Randomly Mixing Fluids Department of Mathematics University of Washington Autumn 2017 (University of Washington) Washington Experimental Mathematics Lab Autumn 2017 1 / 7 Project Goals Motivation

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Washington Experimental Mathematics Lab

Randomly Mixing Fluids

Department of Mathematics University of Washington

Autumn 2017

(University of Washington) Washington Experimental Mathematics Lab Autumn 2017 1 / 7

SLIDE 2

Project Goals

Motivation

(University of Washington) Washington Experimental Mathematics Lab Autumn 2017 2 / 7

SLIDE 3

Project Goals

Mixing

Mixing is a combination of advection and diffusion. Advection is the movement of particles within a fluid via being pulled. Diffusion is the movement of particles from areas of high density of low density.

(University of Washington) Washington Experimental Mathematics Lab Autumn 2017 3 / 7

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Project Goals

The Random Method

(University of Washington) Washington Experimental Mathematics Lab Autumn 2017 4 / 7

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Reporting

Gather and Spread

(University of Washington) Washington Experimental Mathematics Lab Autumn 2017 5 / 7

SLIDE 6

Reporting

Gather and Spread

(University of Washington) Washington Experimental Mathematics Lab Autumn 2017 6 / 7

SLIDE 7

Reporting

Toroidal Lattice Mixing

Advection: (x, y, z) → (x, y, z) + (sx(y), sy(x), 0) Diffusion: (x, y, z) →

1 4((x −1, y, z1)+(x +1, y, z2)+(x, y −1, z3)+(x, y +1, z4))

(University of Washington) Washington Experimental Mathematics Lab Autumn 2017 7 / 7