Bibliographic Details
| Title: |
Basic function scheme of polynomial type. |
| Authors: |
Wang-yi Wu1 wuwy@pku.edu.cn, Guang Lin1 |
| Source: |
Applied Mathematics & Mechanics. Sep2009, Vol. 30 Issue 9, p1091-1103. 13p. 3 Diagrams, 2 Charts, 9 Graphs. |
| Subjects: |
Random polynomials, Operator theory, Differential equations, Differential operators, Shock waves |
| Abstract: |
A new numerical method named as basic function method is proposed. It can directly discretize differential operators on unstructured grids. By expanding the basic function to approach the exact function, the central and upwind schemes of derivative are constructed. By using the second-order polynomial as a basic function and applying the flux splitting method and the combination of central and upwind schemes to suppress non-physical fluctuation near shock waves, a second-order basic function scheme of polynomial type is proposed to solve inviscid compressible flows numerically. Numerical results of typical examples for two-dimensional inviscid compressible transonic and supersonic steady flows indicate that the new scheme has high accuracy and high resolution for shock waves. Combined with the adaptive remeshing technique, satisfactory results can be obtained. [ABSTRACT FROM AUTHOR] |
|
Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
