Shapes optimising grand resistance tensor entries for a rigid body in a Stokes flow
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Bibliographic record
Abstract
We investigate the optimal shapes for the hydrodynamic resistance of a rigid body set in motion in a Stokes flow.At this low Reynolds number regime, the hydrodynamic drag properties of an object are encoded in a finite number of parameters contained in the grand resistance tensor.Considering these parameters as objective functions, we use calculus of variations techniques to derive a general shape derivative formula, allowing to specify how to deform the body shape to improve the objective value of any given resistance tensor entry.We then describe a practical algorithm for numerically computing the optimized shapes and apply it to several examples.Numerical results reveal interesting new geometries for various criteria and perspectives into optimal hydrodynamic profiles.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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