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 (University of Washington) Washington Experimental Mathematics Lab Autumn 2017 2 / 7
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
Project Goals The Random Method (University of Washington) Washington Experimental Mathematics Lab Autumn 2017 4 / 7
Reporting Gather and Spread (University of Washington) Washington Experimental Mathematics Lab Autumn 2017 5 / 7
Reporting Gather and Spread (University of Washington) Washington Experimental Mathematics Lab Autumn 2017 6 / 7
Reporting Toroidal Lattice Mixing Advection: ( x , y , z ) �→ ( x , y , z ) + ( s x ( y ) , s y ( x ) , 0 ) Diffusion: ( x , y , z ) �→ 1 4 (( x − 1 , y , z 1 )+( x + 1 , y , z 2 )+( x , y − 1 , z 3 )+( x , y + 1 , z 4 )) (University of Washington) Washington Experimental Mathematics Lab Autumn 2017 7 / 7
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