Beltrami states for compressible barotropic flows |
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Authors: | BK Shivamoggi GJF van Heijst |
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Institution: | J.M. Burgers Centre and Fluid Dynamics Laboratory, Department of Physics, Eindhoven University of Technology, NL-5600 MB Eindhoven, The Netherlands |
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Abstract: | Beltrami states for compressible barotropic flows are deduced by minimizing the total kinetic energy while keeping the total helicity constant. A Hamiltonian basis for these Beltrami states is sketched. An interesting physical application of the compressible barotropic Beltrami state arises with the Kuzmin-Oseledets formulation of compressible Euler equations. Further, Ertel's invariant is shown to become degenerate in the compressible barotropic Beltrami state. |
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