期刊文献+

混合网格和谐有限体积法 被引量:3

Well-balanced Finite Volume Methods for Hybrid Grid
下载PDF
导出
摘要 近年,非结构有限体积法发展迅速,但地形处理是有限体积法数值模拟中的一个难点,直接影响到计算结果的合理性和模型稳定性。针对地形处理问题,筛选国内外各种地形处理方法,比较后选用了性能优异的静水重构法。将静水重构法与Roe有限体积法进行耦合,建立了和谐Roe有限体积计算模型,并用经典算例对算法进行了检验,检验算例中网格采用三角形、四边形网格混合计算,验证了模型的和谐性。 Recently,unstructured finite volume method has been developed rapidly,but topographic handling,a difficulty in finite volume method numerical simulation has direct influence on the rationality of computing result and model stability.As for the problem of topographic handling,hydrostatic reconstruction method is chosen after being compared with the other methods at home and abroad because of its exceptional performance.Having coupled hydrostatic reconstruction method with Roe's finite volume method,we establish well-balanced Roe finite volume model and have an examination on this algorithm by using classical examples.During the examination,the concordance of model has been verified in the examined example by triangle and quadrangle's hybrid grid.
出处 《中国农村水利水电》 北大核心 2010年第5期69-71,74,共4页 China Rural Water and Hydropower
基金 水利部公益性行业科研专项(200701038) 广东省科技计划基金项目(2009A030302003)
关键词 浅水方程 有限体积 Roe格式 静水重构 和谐 shallow water equations finite volume Roe Scheme hydrostatic reconstruction well-balanced
  • 相关文献

参考文献17

  • 1Zhou J G, Causon D M, Mingham C G, et al. The surface gradient method for the treatment of source terms in the shallow water equations[J]. Journal of Computational Physics, 2001, 168 (1) : 1- 25.
  • 2ZHOU J G, CAUSON D M. INGRAM D. M. Numerical solutions of the shallow water equations with discontinuous bed topography[J]. International Journal for Numerical Methods in Fluids, 2002, 38(8):769-788.
  • 3许为厚,潘存鸿,林炳尧,等.钱塘江河口涌潮数值模拟方法研究[C]//第十六届全国水动力学研讨会文集.北京:海洋出版社,2002.
  • 4E Audusse, F Bouchut, M Bristeau, et al. A fast and stable well -balanced scheme with hydrostatic reconstruction for shallow water flows[J]. SIAM Joural on Scientific Computing, 2004, 25 (6):2 050-2 065.
  • 5B D Rogers, A G L Borthwick, P H Taylor. Mathematical balancing of flux gradient and source terms prior to using Roe's approxi- mate Riemann solver [J]. Journal of Computational physics, 2003, 192(2):422-451.
  • 6P Brufau, M E Vazquez-Cendon, P. Garcia-Navarro. A numerical model for the flooding and drying of irregular domains[J]. International Journal for Numerical Methods in Fluids, 2002, 39 (3):247-275.
  • 7J S Lai, W D Guo, G F Lin, et al. A well-balanced upstream flux-splitting finite-volume scheme for shallow-water flow simulations with irregular bed topography[J]. International journal for numerical methods in fluids,2009.
  • 8E Audusse, M Bristeau. A Well-balanced positivity preserving 'second order scheme for shallow water flows on unstructured meshes[J]. Journal of Computational physics, 2005, 206(1): 311-333.
  • 9潭维炎.计算浅水动力学-有限体积法的应用[M].北京:清华大学出版社,1998.
  • 10韩涛,逄勇,翟金波,安婷.浅水方程的间断有限元解法[J].中国农村水利水电,2007(9):23-25. 被引量:3

二级参考文献27

共引文献41

同被引文献24

  • 1王志力,耿艳芬,金生.具有复杂计算域和地形的二维浅水流动数值模拟[J].水利学报,2005,36(4):439-444. 被引量:47
  • 2解以扬,李大鸣,李培彦,沈树勤,殷剑敏,韩素芹,曾明剑,辜晓青.城市暴雨内涝数学模型的研究与应用[J].水科学进展,2005,16(3):384-390. 被引量:91
  • 3胡四一,谭维炎.无结构网格上二维浅水流动的数值模拟[J].水科学进展,1995,6(1):1-9. 被引量:56
  • 4汪德.计算水力学理论与应用[M].南京:河海大学出版社,1989.174-179.
  • 5Brufau P, Garcia-Navarro P. Unsteady free surface flow simulation over complex topography with a multidimensional upwind technique [J].Journal of Computational Physics, 2003, 186(2): 503-526.
  • 6Liao C B, Wu M S, Liang S J. Numerical simulation of a dam break for an actual river terrain environment [J]. Hydrological Processes, 2007, 21(4): 447-460.
  • 7Lo S H, Lee C K. On using meshes of mixed element types in adaptive finite element analysis [J]. Finite Elements in Analysis and Design, 1992, 11(4) : 307 - 336.
  • 8Toro F E. Riemann Solvers and Numerical Methods for Fluid Dynamics [M]. Berlin, Germany: Springer-Verlag, 1999.
  • 9邢领航,华祖林,褚克坚,鄢洪青.非结构网格下两步压力校正算法的潮流模拟[J].河海大学学报(自然科学版),2007,35(5):505-509. 被引量:4
  • 10I D Cluckie, P F Ede, M D Owens, et al. Some hydrological as-pects of weather radar research in the united-kingdom[J]. Hydrological Sciences Journal, 1987,32 (3) : 329-345.

引证文献3

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部