| Citation: | ZHAO Yatian, YAN Chao, SUN Di, et al. Performance analysis of a new-type third-order TVD limiter[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(4): 800-805. doi: 10.13700/j.bh.1001-5965.2016.0266(in Chinese)
|
For numerical scheme in computational fluid dynamics (CFD), limiter technology is an important factor affecting computational accuracy and stability. Although the present classical second-order total variation diminishing (TVD) limiters with a wide application can well satisfy the computing requirements, its performance not only largely differs but also cannot be properly weighted between resolution and dissipation. Therefore, a new third-order TVD interpolation limiter (T-3 limiter) has been studied and compared with three classical limiters. First, through one-dimensional Riemann problem, it has been found that T-3 limiter is simultaneously characterized by both high intermittent resolution and excellent stability; then, by numerical simulation of hypersonic flow over a double-cone body and X-33 configuration, it has been found that T-3 limiter boasts the capability of portraying complex flow and good aerothermodynamic calculation performance.
| [1] |
HARTEN A.High resolution schemes for hyperbolic conservation laws[J].Journal of Computational Physics, 1983, 49(3):357-393. doi: 10.1016/0021-9991(83)90136-5
|
| [2] |
LEER B V.Towards the ultimate conservative difference scheme V:A second-order sequal to Godunov's method[J].Journal of Computational Physics, 1979, 32(1):101-136. doi: 10.1016/0021-9991(79)90145-1
|
| [3] |
HARTEN A, ENGQUIST B, OSHER S, et al.Unifomrly high-order accurate essentially non-oscillatory schemes[J].Journal of Computational Physics, 1987, 71(2):231-303. doi: 10.1016/0021-9991(87)90031-3
|
| [4] |
LIU X D, OSHER S, TONY C.Weighted essentially non-oscillatory schemes[J].Journal of Computational Physics, 1994, 115(1):200-212. doi: 10.1006/jcph.1994.1187
|
| [5] |
SWEBY P K.High resolution schemes using flux limiters for hyperbolic conservational laws[J].SIAM Journal of Numerical Analysis, 1984, 21(5):995-1011. doi: 10.1137/0721062
|
| [6] |
VENKATAKRISHMAN V.Convergence to steady state solutions of the Euler equations on unstructured grids with limiters[J].Journal of Computational Physics, 1995, 118(1):120-130. doi: 10.1006/jcph.1995.1084
|
| [7] |
屈峰, 阎超, 于剑, 等.高精度激波捕捉格式的性能分析[J].北京亚洲成人在线一二三四五六区学报, 2014, 40(8):1085-1089.
QU F, YAN C, YU J, et al.Assessment of shock capturing methods for numerical simulations of compressible turbulence with shock waves[J].Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(8):1085-1089(in Chinese).
|
| [8] |
YEE H C, KLOPFER G H, MINTAGNE J L.High resolution shock capturing schemes for inviscid and viscous hypersonic flows[J].Journal Computational Physics, 1990, 83(1):31-61.
|
| [9] |
SPEKREIJSE S.Multigrid solution of monotone second order discretization of hypersonic conservation laws[J].Mathematics of Computational, 1987, 49(179):135-155. doi: 10.1090/S0025-5718-1987-0890258-9
|
| [10] |
YOON S H, KIM K H, KIM C.Multi-dimensional limiting process for the three-dimensional flow physics analyses[J].Journal of Computational Physics, 2008, 227(12):6001-6043. doi: 10.1016/j.jcp.2008.02.012
|
| [11] |
KIM K H, KIM C.Accurate, efficient and monotonic numetical methods for multi-dimensional compressible flows, Part Ⅱ:Multi-dimensional limiting process[J].Journal of Computational Physics, 2005, 208(2):570-615. doi: 10.1016/j.jcp.2005.02.022
|
| [12] |
阎超.计算流体力学方法及应用[M].北京:北京亚洲成人在线一二三四五六区出版社, 2006:123-127.
YAN C.Computational fluid dynamic's methods and applications[M].Beijing:Beihang University Press, 2006:123-127(in Chinese).
|
| [13] |
孙迪, 阎超, 于剑, 等.高精度多维限制器的性能分析[J].北京亚洲成人在线一二三四五六区学报, 2015, 41(3):437-442.
SUN D, YAN C, YU J, et al.Performance analysis of high accurate multi-dimensional limiting process[J].Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(3):437-442(in Chinese).
|
| [14] |
WRIGHT M J, SINHA K, OLEJNICZAK J, et al.Numerical and experimental investigation of double-cone shock interactions[J].AIAA Journal, 2000, 38(12):2268-2276. doi: 10.2514/2.918
|
| [15] |
BRIAN R H, THOMAS J H, SCOTT A B, et al.X-33 computational aeroheating predictions and comparisons with experimental data[J].Journal of Spacecraft and Rockets, 1999, 38(5):658-669.
|
| [16] |
BERRY S A, HORVATH T J, HOLLIS B R, et al.X-33 hypersonic boundary-layer transition[J].Journal of Spacecraft and Rockets, 2001, 38(5):646-657. doi: 10.2514/2.3750
|
Figures(7) / Tables(2)
Copyright © Journal of Beijing University of Aeronautics and Astronautics
Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@cqjj8.com
Supported by:
Beijing Renhe Information Technology Co., Ltd.
DownLoad:
