Dealing With Movings and Collisions of Arbitrary Many Discontinuities in a Conservative Front-Tracking Method
-
摘要: 对一种守恒型间断跟踪法设计了一种技巧来处理任意多个间断的移动和相互作用．由此技巧我们就可以建立一个“一般的强健的”间断跟踪法．由于采用了此技巧就会使得算法在某时刻在某网格上会存在非相容性并且会产生O(1)-强度的误差．但不管怎样，这些误差在后续的计算中会被算法的守恒性所消除．还给出了几个数值例子来显示这一技巧的有效性．Abstract: An approach to deal with movings and collisions of arbitrary many discontinuities in the conservative front tracking method was developed.Using this approach one may develop an "all-purposed and robust" front-tracking algorithm.The algorithm with this approach may have some inconsistency and thus will have O(1) magnitude errors in some grid cells some time.Nevertheless,these errors will be eliminated by the conservation-preserving property of the front-tracking method in the following computation.Numerical examples were presented to illustrate the efficiency of the approach.
-
Key words:
- front-tracking /
- conservation-preserving /
- discontinuity cell
-
[1] Colella P,Woodward P R.The numerical simulation of two-dimensional fluid flow with strong shocks[J].J Comput Phys,1984,54(1):115—173. doi: 10.1016/0021-9991(84)90142-6 [2] Chern I L,Glimm J,McBryan O,et al.Front tracking for gas dynamics[J].J Comput Phys,1986,62(1):83—110. doi: 10.1016/0021-9991(86)90101-4 [3] Henshaw W D.A scheme for numerical solution of hyperbolic system of conservation laws[J].J Comput Phys,1987,68(1):25—47. doi: 10.1016/0021-9991(87)90042-8 [4] LeVeque R J,Shyue K M.One dimensional front tracking based on high resolution wave propogation methods[J].SIAM J Sci Comput,1995,16(2):348—377. doi: 10.1137/0916023 [5] Swartz B K,Wendroff B.A front tracking code based on Godunov's method[J].Appl Numer Math,1986,2(5):385—397. doi: 10.1016/0168-9274(86)90041-3 [6] MAO De-kang.Towards front tracking based on conservation in two space dimension[J].SIAM J Sci Comput,2000,22(1):113—151. doi: 10.1137/S1064827597310609 [7] MAO De-kang.A shock tracking technique based on conservation in one space dimension[J].SIAM J Numer Anal,1995,32(5):1677—1703. doi: 10.1137/0732075 [8] 刘妍，茅德康.一种守恒型间断跟踪法中对于间断及其相互作用的处理[J].计算物理，2005,22(6):520—526. [9] 刘妍，茅德康.一种强健的守恒型间断跟踪法在一维Euler方程组中的实现[J].计算物理，2004,21(3):312—318. [10] LeVeque R J.Finite Volume Methods for Hyperbolic Problems[M].the Pitt Building,Trumpington Street,Cambridge, United Kingdom:the Press Syndicate of the University of Cambridge,2002. [11] SHU Chi-wang,Osher S.Efficient implementation of essentially non-oscillatory shock-capturing schemes Ⅱ[J].J Comput Phys,1989,83(1):32—78. doi: 10.1016/0021-9991(89)90222-2 [12] Harten A,Engquist B,Osher S,et al.Uniformly high order accurate essentially non-oscillatory scheme Ⅲ[J].J Comput Phys,1987,71(2):231—303. doi: 10.1016/0021-9991(87)90031-3 -
点击查看大图
计量
- 文章访问数: 2352
- HTML全文浏览量: 71
- PDF下载量: 458
- 被引次数: 0
下载:
