| 引用本文: | 朱思美,宋松和.非结构网格上解二维Hamilton-Jacobi方程的自适应算法.[J].国防科技大学学报,2005,27(1):102-105.[点击复制] |
| ZHU Simei,SONG Songhe.An Adaptive Method for Two-dimensions Hamilton-Jacobi Equations on Unstructured Meshes[J].Journal of National University of Defense Technology,2005,27(1):102-105[点击复制] |
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| 非结构网格上解二维Hamilton-Jacobi方程的自适应算法 |
| 朱思美, 宋松和 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 提出了一种非结构网格上解Hamilton-Jacobi方程的自适应局部加密方法。讨论了加密方法关键的一步:光滑度指标的确定，通过采取无振荡插值，得到了无振荡数值格式，典型算例表明，该方法只需增加少量的点和计算量却能够提高计算精度和对间断的分辨能力。 |
| 关键词: Hamilton-Jacobi方程 自适应加密法 非结构网格 |
| DOI： |
| 投稿日期：2004-09-27 |
| 基金项目:国家自然科学基金资助项目(10001038)；国防科技大学基础研究资助项目 |
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| An Adaptive Method for Two-dimensions Hamilton-Jacobi Equations on Unstructured Meshes |
| ZHU Simei, SONG Songhe |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| An adaptive method for Hamilton-Jacobi equations on unstructured meshes is given,the paper presents the key ingredient to choose smooth indicator. Using non-oscillatory interpolation it gets the essentially non-osscilatory scheme.Extensive numerical experiments show that the adaptive methods can also produce high resolution and improve the accuracy with small grid points if grid adaptation is employed. |
| Keywords: Hamilton-Jacobi equations adaptive methods unstructured meshes |
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