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Multiphase Hele-Shaw Flows: from Beaches to Dredgers - School of ...

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5. Challenges & Extensions<br />

<strong>Hele</strong>-<strong>Shaw</strong><br />

<strong>Flows</strong><br />

Onno<br />

Bokhove<br />

Introduction<br />

Design<br />

Wave<br />

Breaking<br />

Beach<br />

Morphology<br />

Challenges<br />

Conclusions<br />

Given design calculations & experimental results, goal becomes:<br />

<strong>to</strong> predict the dynamics in the <strong>Hele</strong>-<strong>Shaw</strong> cell,<br />

with models that can be extended <strong>to</strong> yield feasible<br />

3D-predictions.<br />

Consider d<strong>of</strong>’s:<br />

DNS simulations: ≥ 10 3 /particle; tank<br />

250 × 40 × 1 d 3 = 10 4 d 3 .<br />

Leading <strong>to</strong> 10 7 − 10 8 d<strong>of</strong>’s for Navier-S<strong>to</strong>kes and DPMs!<br />

Perhaps feasible in quasi-2D but not in 3D.<br />

A hierarchy <strong>of</strong> reduced & multi-phase models required.

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