|Table of Contents|

 WENO Scheme Based on Lax-Wendroff Time Discretization
to Solving Hyperbolic Conservation Laws
(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年06期
Page:
134-139
Research Field:
材料科学与工程
Publishing date:

Info

Title:
 WENO Scheme Based on Lax-Wendroff Time Discretization
to Solving Hyperbolic Conservation Laws
Author(s):
 LI Xing-hua1SUN Yang1AI Xiao-hui2
 1 School of Science,Harbin University of Science and Technology,Harbin 150080,China;
2 School of Science,Northeast Forestry University,Harbin 150040,China)
Keywords:
 high accuracy WENO Runge-Kutta Lax-Wendroff time discretization
PACS:
O175
DOI:
10. 15938 /j. jhust. 2017. 06. 026
Abstract:
 The research of high accuracy and high resolution schemes have been a hot topic in computational
mathematics. According to low resolution and large amount of calculation of the original WENO-JS scheme,we
propose a simple new limiter fifth order upwind WENO scheme to reconstruct the numerical flux of the simple
structure to improve the computational efficiency. Compared with other efficient high accuracy schemes such as
ENO and WENO,it is shown that the computational cost of this scheme is less than that of WENO-JS in the same
accuracy. By use of MATLAB software,we compared and analyzed computational efficiencies and computational
accuracies of Lax-Wendroff WENO-JS scheme,Lax-Wendroff simple limiter WENO scheme,Runge-Kutta simple
limiter WENO scheme and Runge-Kutta WENO-JS scheme. The numerical results show that the new Lax-Wendroff
simple limiter WENO scheme can improve the computing speed and reduce the computing time by 20% while
maintaining the original WENO resolution

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Last Update: 2018-03-10