|
|
An improved global-direction stencil based on the face-area-weighted centroid for the gradient reconstruction of unstructured finite volume methods |
Ling-Fa Kong(孔令发)1, Yi-Dao Dong(董义道)1,†, Wei Liu(刘伟)1, and Huai-Bao Zhang(张怀宝)2 |
1 College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China 2 School of Physics, Sun Yat-sen University, Guangzhou 510275, China |
|
|
Abstract The accuracy of unstructured finite volume methods is greatly influenced by the gradient reconstruction, for which the stencil selection plays a critical role. Compared with the commonly used face-neighbor and vertex-neighbor stencils, the global-direction stencil is independent of the mesh topology, and characteristics of the flow field can be well reflected by this novel stencil. However, for a high-aspect-ratio triangular grid, the grid skewness is evident, which is one of the most important grid-quality measures known to affect the accuracy and stability of finite volume solvers. On this basis and inspired by an approach of using face-area-weighted centroid to reduce the grid skewness, we explore a method by combining the global-direction stencil and face-area-weighted centroid on high-aspect-ratio triangular grids, so as to improve the computational accuracy. Four representative numerical cases are simulated on high-aspect-ratio triangular grids to examine the validity of the improved global-direction stencil. Results illustrate that errors of this improved methods are the lowest among all methods we tested, and in high-mach-number flow, with the increase of cell aspect ratio, the improved global-direction stencil always has a better stability than commonly used face-neighbor and vertex-neighbor stencils. Therefore, the computational accuracy as well as stability is greatly improved, and superiorities of this novel method are verified.
|
Received: 04 March 2020
Revised: 22 June 2020
Accepted manuscript online: 06 July 2020
|
PACS:
|
02.60.Cb
|
(Numerical simulation; solution of equations)
|
|
47.11.-j
|
(Computational methods in fluid dynamics)
|
|
47.11.Df
|
(Finite volume methods)
|
|
Corresponding Authors:
†Corresponding author. E-mail: tianyatingxiao@163.com
|
About author: †Corresponding author. E-mail: tianyatingxiao@163.com * Project supported by the National Key Project, China (Grant No. GJXM92579). |
Cite this article:
Ling-Fa Kong(孔令发), Yi-Dao Dong(董义道)†, Wei Liu(刘伟), and Huai-Bao Zhang(张怀宝) An improved global-direction stencil based on the face-area-weighted centroid for the gradient reconstruction of unstructured finite volume methods 2020 Chin. Phys. B 29 100203
|
[1] |
|
[2] |
|
[3] |
|
[4] |
|
[5] |
Diskin B, Thomas J L, Nielsen E J, Nishikawa H, White J A 2010 AIAA J. 48 1326 DOI: 10.2514/1.44940
|
[6] |
|
[7] |
Sozer E, Brehm C, Kiris C C 2014 Proceedings of the 52nd Aerospace Sciences Meeting January 13–17, 2014 Convention Center Washington DC 1440 DOI: 10.2514/6.2014-1440
|
[8] |
|
[9] |
|
[10] |
|
[11] |
|
[12] |
|
[13] |
Ghoreyshi M, Seidel J, Bergeron K, Jirasek A, Lofthouse A J, Cummings R M 2015 Proceedings of the 53rd Aerospace Sciences Meeting January 5–9, 2015 Kissimmee Florida 407 DOI: 10.2514/6.2015-0407
|
[14] |
|
[15] |
Dannenhoffer J 2012 Proceedings of the 50th Computational Fluid Dynamics Conference January 9–12, 2012 Nashville Tennessee 610 DOI: 10.2514/6.2012-610
|
[16] |
|
[17] |
|
[18] |
|
[19] |
Veluri S P 2010 Code verification and numerical accuracy assessment for finite volume CFD codes Ph.D. Dissertation Blacksburg Virginia Polytechnic Institute and State University
|
[20] |
|
[21] |
|
[22] |
Barth T 1993 Proceedings of the 31st Aerospace Sciences Meeting January 11–14, 1993 Reno, Nevada 668 DOI: 10.2514/6.1993-668
|
[23] |
|
[24] |
|
[25] |
|
[26] |
Toro E 1999 Riemann Solvers and Numerical Method for Fluid Dynamics - A Practical Introduction Berlin Springer 2
|
[27] |
Barth T, Jespersen D 1989 Proceedings of the 27th Aerospace Sciences Meeting January 8–12, 1989 Reno, Nevada 366 DOI: 10.2514/6.1989-366
|
[28] |
|
[29] |
|
[30] |
|
[31] |
|
[32] |
|
[33] |
Park M A, Barral N, Ibanez D, Kamenetskiy D S, Krakos J A, Michal T R, Loseille A 2018 Proceedings of the 56th AIAA Aerospace Sciences Meeting January 8–10, 2018 Kissimmee, Florida 1103 DOI: 10.2514/6.2018-1103
|
[34] |
|
[35] |
|
[36] |
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|