The Objective Deformation Component of a Velocity Field
| Autor: | Bálint Kaszás, Tiemo Pedergnana, George Haller |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Frame indifference
Deformation velocity Visualization Fluid Dynamics (physics.flu-dyn) General Physics and Astronomy FOS: Physical sciences Dynamical Systems (math.DS) Physics - Fluid Dynamics Nonlinear Sciences - Chaotic Dynamics FOS: Mathematics Chaotic Dynamics (nlin.CD) Mathematics - Dynamical Systems Mathematical Physics |
| Zdroj: | European Journal of Mechanics. B, Fluids, 98 |
| ISSN: | 0997-7546 1873-7390 |
| Popis: | For an arbitrary velocity field v defined on a finite, fixed spatial domain, we find the closest rigid-body velocity field vRB to v in the L2 norm. The resulting deformation velocity component, vd=v−vRB, turns out to be frame-indifferent and physically observable. Specifically, if QRB(t) is the rotation tensor describing the motion of the closest rigid body frame, then v is seen as QRBTvd by an observer in that frame. As a consequence, the momentum, energy, vorticity, enstrophy, and helicity of the flow all become frame-indifferent when computed from the deformation velocity component vd. European Journal of Mechanics. B, Fluids, 98 ISSN:0997-7546 ISSN:1873-7390 |
| Databáze: | OpenAIRE |
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