中国水利水电科学研究院学报2018，Vol.16Issue(1)：23-28,6.DOI:10.13244/j.cnki.jiwhr.2018.01.004
Saint-Venant方程组全隐式标量耗散有限体积法
Full implicit solution with scalar-dissipation finite-volume approach for Saint-Venant equations
摘要
Abstract
Based on the conservative form of Saint-Venant equations,the Riemann state value of each physical variable in the cell boundary was reconstructed,and the two order accuracy distribution of each variable in the computational domain was realized.On this basis,the finite-volume scheme with scalar dissipation is constructed for the convective fluxes.In order to describe the real physical impact of the relative elevation gradient of water level,extra space discretization is added in the discrete term of relative elevation gradient of water level.This term is equal to zero at the wetted region,and can be counteracted by the term of relative elevation gradient of water level at the dry area.Dural time-step algorithm is used for the fully implicit discretization the time terms in Saint-Venant equations.Therefore,the unconditional stability of solution is achieved.Finally,two typical examples are given to verify the stability and convergence of this new numerical solution.关键词
非恒定流/全隐式/标量耗散/有限体积法Key words
unsteady flow/fully implicit scheme/scalar dissipation/finite-volume approach分类
建筑与水利引用本文复制引用
夏庆福,余弘婧,朱锐,章少辉,郭新蕾..Saint-Venant方程组全隐式标量耗散有限体积法[J].中国水利水电科学研究院学报,2018,16(1):23-28,6.基金项目
国家重点基础研究发展规划“973”项目(2013CB036405) （2013CB036405）
