Citation: | YANG Yu-wei, YU Jia-lei, ZHANG Ya-ping, LI Xing-gang, QIU Xiao-pu. Numerical Solution of the 2D Compressible Euler Equations Based on the Unstructured Adaptive Grids[J]. Applied Mathematics and Mechanics, 2016, 37(9): 981-992. doi: 10.21656/1000-0887.370077 |
[1] |
范绪箕, 董葳. 计算流体力学在飞行器研制中的应用[J]. 民用飞机设计与研究, 2004(4): 2-11.(FAN Xu-ji, DONG Wei. Application of computational fluid dynamics in aircraft development[J]. Civil Aircraft Design And Research,2004(4): 2-11.(in Chinese))
|
[2] |
孙少鹏, 杨岞生. 非结构网格生成技术的研究[J]. 空气动力学学报, 1996,14(1): 19-25.(SUN Shao-peng, YANG Zuo-sheng. Research on unstructured grid generation technology[J]. Acta Aerodynamica Sinica,1996,14(1): 19-25.(in Chinese))
|
[3] |
Connell S D, Holmes D. A 3D unstructured adaptive multigrid scheme for the Euler equations[C]// 11th Computational Fluid Dynamics Conference . Orlando, FL, USA, 1993: AIAA-93-3339.
|
[4] |
王平, 朱自强. 二维非结构网格的生成及其Euler方程解[J]. 北京航空航天大学学报, 2000,26(2): 190-193.(WANG Ping, ZHU Zi-qiang. Generation of 2D unstructured grid and the Euler solution on it[J]. Journal of Beijing University of Aeronautics and Astronautics,2000,26(2): 190-193.(in Chinese))
|
[5] |
Shang H M, Chen Y S. Unstructured adaptive grid method for reacting flow computation[C]//33rd Joint Propulsion Conference and Exhibit.Seattle, WA, USA, 1997: AIAA 97-3183.
|
[6] |
Blazek J. Computational Fluid Dynamics: Principles and Applications [M]. UK: Elsevier, 2001.
|
[7] |
Northrup S A, Groth C P T. Parallel implicit adaptive mesh refinement for unsteady fully-compressible reactive flows[C]//21st AIAA Computational Fluid Dynamics Conference.San Diego, CA, 2013: AIAA- 2013-2433.
|
[8] |
L?hner R, Baum J D. Adaptive h-refinement on 3D unstructured grids for transient problems[J]. International Journal for Numerical Methods in Fluids,1992,14(12): 1407-1419.
|
[9] |
Godunov S K. A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics. Mat. Sb.47[J]. Mathematics of the USSR-Sbornik,1959: 271-306.
|
[10] |
尹河. 在非结构自适应网格上对二维Euler方程进行数值模拟[D]. 博士学位论文. 西安: 西北工业大学, 2001.(YIN He. Numerical simulation of two dimensional Euler equations on unstructured adaptive meshes[D]. PhD Thesis. Xi’an: Northwestern Polytechnical University, 2001.(in Chinese))
|
[11] |
董程栋. Euler方程的自适应叉树结构直角网格算法的研究[J]. 博士学位论文. 南京: 南京航空航天大学, 1999.(DONG Cheng-dong. Euler equation of the adaptive cross tree structure of the right angle grid algorithm[D]. PhD Thesis. Nanjing: Nanjing University of Aeronautics & Astronautics, 1999.(in Chinese))
|
[12] |
黄明恪. Jameson有限体积法对非结构网格推广的改进[J]. 空气动力学报, 1999,17(1): 15-20.(HUANG Ming-ke. Improvement of the extension of Jameson’s finite volume method to unstructured meshes[J]. Acta Aerodynamics Sinica,1999,17(1): 15-20.(in Chinese))
|
[13] |
Rodriguez I, Lehmkuhl O, Borrell R, Oliva A. Direct numerical simulation of a NACA0012 in full stall[J]. International Journal of Heat and Fluid Flow,2013,43: 194-203.
|
[14] |
Forestieri G, Guardone A, Isola D, Marulli F, Quaranta G. Numerical simulation of compressible vertical flows using a conservative unstructured-grid adaptive scheme[J].Communications in Computational Physics,2012,12(3): 866-884.
|
[15] |
Collaboration E , Bryan G L, Norman M L, et al. Enzo: an adaptive mesh refinement code for astrophysics[J].Astrophysical Journal Supplement,2013. doi: 10.1088/0067-0049/211/2/19.
|