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双曲型守恒律的一类局部化的高效差分格式 被引量：2

A Class of Localized High Resolution Difference Schemes for Hyperbolic Conservation Laws
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摘要 构造了一维非线性双曲型守恒律的一类局部化的高效全离散差分格式,并将该格式推广到一维守恒方程组及二维守恒方程(组).最后,给出了几个标准算例.数值计算结果表明此格式具有高精度高分辨激波、稀疏波和接触间断,且边界条件易于处理等优点. In this paper, a class of localized high-resolution fully discretization difference schemes is presented for one dimensional nonlinear hyperbolic conservation laws. And then the scheme is extended to solve one dimensional and two dimensional hyperbolic conservation laws and system. Finally, several typical numerical experiments on Euler equations are given. The numerical results show that these schemes have the advantages of high-order accuracy and high resolution of shock, rarefaction wave and contact discontinuity and easy to treat boundary conditions.
作者 郑华盛 李曦 胡结梅
机构地区 南昌航空大学数学与信息科学学院
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第2期58-63,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 江西省教育厅2008年度科技项目计划(GJJ08224) 江西省自然科学基金(0611096) 南昌航空大学博士启动基金(EA20060731)资助项目
关键词 双曲型守恒律 高阶精度 离散GDQ方法 TVB格式 Runge—Kutta TVD时间离散 hyperbolic conservation laws high-order accuracy discontinuous GDQ methods TVB scheme Runge-Kutta TVD time discretization
分类号 O241.8 [理学—计算数学] V211.3 [航空宇航科学与技术—航空宇航推进理论与工程]
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参考文献12

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共引文献4

同被引文献12

  • 1郑华盛,赵宁.一个基于通量分裂的高精度MmB差分格式[J].空气动力学学报,2005,23(1):52-56. 被引量：3
  • 2张涵信.无波动、无自由参数的耗散差分格式[J].空气动力学学报,1988,7(2):1431-165.
  • 3A. Harten. High resolution schemes for hyperbolic conservation laws[ J], J Comput. Phys. , 1983,49:357 -393,.
  • 4tt. Nessyahu, E. Tadmor. Non -oscillatory central differencing for hyperbolic conservation laws[ J]. J Comput. Phys. , 1990,87:408 -463.
  • 5X. D. Liu, S. Osher. Convex ENO high order multi - dimensional schemes without field by decomposition or staggerd grids[ J]. J Comput. Phys. , 1998,142:304 - 330.
  • 6S. Youssef. A nonlinear flux split method for hyperbolic conservation laws[ J ]. J Comput. Phys. ,2002,176:20- 39.
  • 7C. W. Shu, S. Osher. Efficient implementation of essentially non - oscillatory shock - capturing schemes[ J]. J Comput. Phys. , 1988,77:439 - 471.
  • 8A.Harten.High resolution schemes for hyperbolic conservation laws[J].J.Comput.Phys.,1983,49:357-393.
  • 9H.Nessyahu,E.Tadmor.Non-oscillatory central differencing for hyperbolic conservation haws[J].J.Comput.Phys.,1990,87:408-463.
  • 10X.D.Liu,S.Osher.Convex ENO high order multi-dimensional schemes without field by decomposition or stagged grids[J].J.Comput.Phys.,1998,142:304-330.

引证文献2

西南师范大学学报（自然科学版）
2010年 第2期

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