A. Giniatoulline, "On the Structure of the Spectrum of Internal Vibrations for Stratified Rotating Compressible Flows in General Domains, in Rectangular Domains, in General Cylinders and in Spherical Volumes," WSEAS Transactions on Heat and Mass Transfer, vol. 17, pp. 214-221, 2022, DOI:10.37394/232012.2022.17.23
A. Giniatoulline. On the Structure of the Spectrum of Internal Vibrations for Stratified Rotating Compressible Flows in General Domains, in Rectangular Domains, in General Cylinders and in Spherical Volumes.
WSEAS Transactions on Heat and Mass Transfer. 2022;17:214-221. 10.37394/232012.2022.17.23
WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 17, 2022
On the Structure of the Spectrum of Internal Vibrations for Stratified Rotating Compressible Flows in General Domains, in Rectangular Domains, in General Cylinders and in Spherical Volumes
Author:
Abstract: For exponentially stratified rotating compressible fluid, we investigate the localization and the structure of the spectrum of inner waves caused by the gravitational force and the Coriolis force. We find the essential spectrum for the first boundary value problem in general domains. Our main result is the explicit examples of the eigenvalues and the corresponding orthogonal eigenfunctions for parallelepipeds, for general cylinders and for spherical volumes.
Keywords:
Compressible flows, computational fluid dynamics, essential spectrum, internal waves, turbulence and multiphase flows
Pages: 214-221 WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 17, 2022, Art. #23 DOI: 10.37394/232012.2022.17.23
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