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Hamilton's principle of stationary action in multiphase flow modeling

Abstract : These lecture notes are concerned with the derivation of the fluid mechanics equations via Hamilton's principle of stationary action. We recall the main conceptual tools of this variational principle which originally applies to classical finite-degrees-of-freedom mechanics and we explain how these tools can be adapted in a continuous framework, in particular for the derivation of the well-known Euler equations describing the motion of inviscid fluids. The core of these notes is the application of Hamilton's principle to multiphase flows. We present a new Lagrangian point of view for the derivation of two-phase flow equations.
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Preprints, Working Papers, ...
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Contributor : Charlotte Perrin <>
Submitted on : Thursday, February 18, 2021 - 6:56:26 PM
Last modification on : Saturday, February 27, 2021 - 3:28:45 AM


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  • HAL Id : hal-03146159, version 1


Cosmin Burtea, Sergey Gavrilyuk, Charlotte Perrin. Hamilton's principle of stationary action in multiphase flow modeling. 2021. ⟨hal-03146159⟩



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