This paper presents the vortical and self-similar solutions for 2D compressible Euler equations using the separation method. These solutions complement Makino’s solutions in radial symmetry without rotation. The rotational solutions provide new information that furthers our understanding of ocean vortices and reference examples for numerical methods. In addition, the corresponding blowup, time-periodic or global existence conditions are classified through an analysis of the new Emden equation. A conjecture regarding rotational solutions in 3D is also made. Copyright © 2013 Elsevier B.V. All rights reserved.
|Journal||Communications in Nonlinear Science and Numerical Simulation|
|Publication status||Published - Jul 2014|
CitationYuen, M. (2014). Vortical and self-similar flows of 2D compressible Euler equations. Communications in Nonlinear Science and Numerical Simulation, 19(7), 2172–2180.
- Vortical solution
- Self-similar solution
- Time-periodic solution
- Compressible Euler equations