摘要
采用有限体积法求解二维浅水流动方程 ,建立了一种在非规则结构化网格上数值求解平面二维浅水流动的数值方法 ,其中应用Roe格式计算数值对流通量 ,并通过MUSCL途径插值界面状态 ,以对水位插值代替水深插值来消除地形变化对格式的影响 ;对源项采用分步法及半隐式求解 ,防止了源项引起的计算不稳定 ;处理动边界采用人工小水深的方法 .应用于澳门水域潮流的模拟 。
A numerical model for the solution of the two-dim en sional unsteady depth-averaged flow is described. The model, which is based on the Roe′s approximate Riemann solver, is used to solve the 2D depth-averaged equations on an irregular structured grid. A modified MUSCL technique is com bined to preclude the restrictions on the Roe′s scheme duo to bed slope as well as to obtain a second-order accuracy. A semi-implicit method for the source t erms is adopted for numerical stability. The wetting and drying process is consi dered by using an artificial critical depth. The computational results by the mo del show good agreement with the field data in the application of simulating tid al flow in the surrounding waters of Macao.
出处
《应用基础与工程科学学报》
EI
CSCD
2001年第2期251-258,共8页
Journal of Basic Science and Engineering
基金
国家自然科学基金资助项目 (No.4 99760 2 5和No.5 9890 2 0 0 )