| 一种守恒型间断跟踪法在一维单守恒律方程上的程序实现 |
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| 引用本文： | 刘妍,茅德康. 一种守恒型间断跟踪法在一维单守恒律方程上的程序实现[J]. 应用数学与计算数学学报, 2001, 15(1): 10-18 |
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| 作者姓名： | 刘妍 茅德康 |
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| 作者单位： | 上海大学理学院,上海,200436 |
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| 摘 要： | 茅在近几年发展了一种守恒型的间断跟踪法（见[6],[7]）,该跟踪法是以解的守恒性质作为跟踪的机制而不是传统的跟踪法利用Rankine-Hugoniot条件。本文的目的是对该算法在一维单守恒律的情况进行程序实现,做成一个对任意初值问题都适应的强健的算法,可处理任意的间断相互作用。在文章的第三节给出了一个数值算例,并与用ENO格式（见[8]所算得的结果进行比较。
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| 关 键 词： | 网络平均 间断跟踪法 守恒型 一维单守恒律 数值求解 算法 程序 |
| 修稿时间： | 2001-03-01 |
Program Realization of a Front Tracking Method Based on Conservation for One Dimensional Salar Conservation Law |
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| YAN LIU DEKANG MAO School of Sciences,Shanghai University,Shanghai. Program Realization of a Front Tracking Method Based on Conservation for One Dimensional Salar Conservation Law[J]. Communication on Applied Mathematics and Computation, 2001, 15(1): 10-18 |
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| Authors: | YAN LIU DEKANG MAO School of Sciences Shanghai University Shanghai |
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| Affiliation: | YAN LIU DEKANG MAO School of Sciences,Shanghai University,Shanghai 200436 |
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| Abstract: | In the past few years Mao developed a front tracking method based on conservation (see [6],[7]),which uses the conservation properties of the PDEs rather than the Rankine-Hugoniot conditionsas its tracking mechanism. In this paper, we programmly realize the algorithm for the 1D scalarcoservation laws with convex flux, and thus develop an all-purposed and robust algorithm, whichcan handle any type of discontinuity interastions. In the third section, a numerical example ispresented and compared with the numerical result computed by ENO scheme(see [8]) to show theefficiency of the algorithm. |
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| Keywords: | cell average front tracking discontinuity position. |
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