ENGLISH    
 
  中国科学院    
 
 
     
 
首 页  
机构设置
科研成果
研究队伍
研究生培养
国际交流
信息公开
人才招聘
    现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

邱建贤 教授, 厦门大学数学院

Inviter: 明平兵
Title:
An modied WENO schemes for hyperbolic conservation laws
Time & Venue:
2017.3.21 10:00-11:00 N902
Abstract:

In this presentation, a class of modied weighted essentially non-oscillatory (MWENO) schemes is presented in the nite dierence framework for solving the hyperbolic conservation laws. These schemes adapt between the linear upwind scheme and the WENO scheme automatically by the usage of a new simple switching principle. The methodology to reconstruct numerical uxes for the MWENO schemes is split into two parts: if all extreme points of the reconstruction polynomial for numerical ux in the big spatial stencil are located outside of the stencil, the the numerical ux is approximated directly by the reconstruction polynomial, and the approximation is a linear and high order accuracy; otherwise the WENO procedure in [G.-S. Jiang and C.-W. Shu, J. Comput. Phys., 126 (1996), 202-228] is applied to reconstruct the numerical ux. The main advantage of these new MWENO schemes is their robustness and eciency comparing with the classical WENO schemes specied in [G.-S. Jiang and C.-W. Shu, J. Comput. Phys., 126 (1996), 202-228]. The MWENO schemes can be applied to compute some extreme test cases such as the Sedov blast wave, the Leblanc and the high Mach number astrophysical jet problems et al. by using a normal CFL number without any further positivity preserving procedure for the purpose of controlling the concurrence of the negative density and pressure. Extensive numerical results are provided to illustrate the good performance of the MWENO schemes.

 

 

附件下载:
 
 
【打印本页】【关闭本页】
 
研究院电子政务平台    中科院邮件系统    图书馆    会议服务平台
 
新闻动态 | 学术期刊 | 创新文化 | 党群园地 | 科学传播 | 校友会 | 网站地图 | 联系我们
版权所有 © 中国科学院数学与系统科学研究院  京ICP备05002806号  京公网安备110402500020号
地址:北京市海淀区中关村东路55号  邮政编码:100190
电话:86-10-82541777  Fax:86-10-82541972  Email:contact@amss.ac.cn