Next Article in Journal
Stability of Bounded Dynamical Networks with Symmetry
Previous Article in Journal
A Novel Skin Lesion Detection Approach Using Neutrosophic Clustering and Adaptive Region Growing in Dermoscopy Images
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle
Symmetry 2018, 10(4), 120; https://doi.org/10.3390/sym10040120

Symmetry Reduction and Numerical Solution of Von K a ´ rm a ´ n Swirling Viscous Flow

Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
*
Author to whom correspondence should be addressed.
Received: 28 February 2018 / Revised: 29 March 2018 / Accepted: 8 April 2018 / Published: 19 April 2018
Full-Text   |   PDF [276 KB, uploaded 3 May 2018]   |  

Abstract

In this paper, the numerical solutions of von K a ´ rm a ´ n swirling viscous flow are obtained based on the effective combination of the symmetry method and the Runge-Kutta method. Firstly, the multi-parameter symmetry of von K a ´ rm a ´ n swirling viscous flow is determined based on the differential characteristic set algorithm. Secondly, we used the symmetry to reduce von K a ´ rm a ´ n swirling viscous flow to an initial value problem of the original differential equations. Finally, we numerically solve the initial value problem of the original differential equations by using the Runge-Kutta method. View Full-Text
Keywords: von K a ´ rm a ´ n swirling viscous flow; symmetry; differential characteristic set algorithm; Runge-Kutta method von K a ´ rm a ´ n swirling viscous flow; symmetry; differential characteristic set algorithm; Runge-Kutta method
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Wang, X.; Bilige, S. Symmetry Reduction and Numerical Solution of Von K a ´ rm a ´ n Swirling Viscous Flow. Symmetry 2018, 10, 120.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top