Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity
Abstract
In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the Navier-Stokes model wherein the velocity components are governed by a generalized Emden dynamical system. In particular, when the viscosity variables are taken the same as Yuen [M. W. Yuen, “Analytical solutions to the Navier-Stokes equations,” J. Math. Phys. 49, 113102 (2008)], our solutions constitute a generalization of that obtained by Yuen. Interestingly, numerical simulations show that the analytical solutions can be used to explain the drifting phenomena of the propagation wave like Tsunamis in oceans.
- Authors:
-
- College of Science, Nanjing Agricultural University, Nanjing 210095 (China)
- Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10 Po Ling Road, Tai Po, New Territories (Hong Kong)
- Publication Date:
- OSTI Identifier:
- 22250649
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Mathematical Physics
- Additional Journal Information:
- Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; COMPUTERIZED SIMULATION; NAVIER-STOKES EQUATIONS; SEAS; SYMMETRY; TSUNAMIS; VELOCITY; VISCOSITY; WAVE PROPAGATION
Citation Formats
An, Hongli, and Yuen, Manwai. Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity. United States: N. p., 2014.
Web. doi:10.1063/1.4872235.
An, Hongli, & Yuen, Manwai. Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity. United States. https://doi.org/10.1063/1.4872235
An, Hongli, and Yuen, Manwai. 2014.
"Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity". United States. https://doi.org/10.1063/1.4872235.
@article{osti_22250649,
title = {Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity},
author = {An, Hongli and Yuen, Manwai},
abstractNote = {In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the Navier-Stokes model wherein the velocity components are governed by a generalized Emden dynamical system. In particular, when the viscosity variables are taken the same as Yuen [M. W. Yuen, “Analytical solutions to the Navier-Stokes equations,” J. Math. Phys. 49, 113102 (2008)], our solutions constitute a generalization of that obtained by Yuen. Interestingly, numerical simulations show that the analytical solutions can be used to explain the drifting phenomena of the propagation wave like Tsunamis in oceans.},
doi = {10.1063/1.4872235},
url = {https://www.osti.gov/biblio/22250649},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 5,
volume = 55,
place = {United States},
year = {Thu May 15 00:00:00 EDT 2014},
month = {Thu May 15 00:00:00 EDT 2014}
}