Abstract Details
Abstracts
Author: P. J. Morrison
Requested Type: Poster
Submitted: 2019-03-07 14:04:18
Co-authors: T. Andreussi, F. Pegoraro
Contact Info:
University of Texas at Austin
2515 Speedway
Austin, Texas 78712
USA
Abstract Text:
The imposition of the incompressibility constraint in fluid flow was imposed by Lagrange in the so-called Lagrangian variable description using his method of multipliers in a variational formulation [1]. An alternative to Lagrange's procedure is the imposition of this constraint by a generalization of Dirac's constraint method [2,3] using noncanonical Poisson brackets [4]. We show how to impose the compressibility constraint using Dirac's method and give the pros and cons of the methods. In addition the definition and use of energy for stability will be described in the context of the constraints. Application to magnetofluid dynamics will also be described.
* Supported by U.S. Dept. of Energy Contract # DE-FG05-80ET-53088.
[1] J. L. Lagrange, Me'canique Analytique (Paris, 1788).
[2] P. J. Morrison et al., Ann. Phys. 324, 1747 (2009).
[3] C. Chandre et al., Phys.~Lett. A 376, 737 (2012).
[4] P. J. Morrison, Rev. Mod. Phys. 70, 467 (1998).
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