摘要
本文提出了一个描述不规则的三维天然水域的数值网格系统，以及与该网格系统相适应的流动和温度输运数学模型，详细论述了该数值网格生成的主要原则和方法，给出了守恒形式混合网格算法的控制方程，以及基于压力－速度校正算法推导出的基本控制方程的离散表达式。天然水域的混合网格系统，在水平方向上是正交贴体坐标系；在垂直方向上则是笛卡尔坐标系。在该坐标系统中，水平面上的正交贴体坐标系（ＢＦＣ）与岸线精确地吻合；铅垂方向则采用笛卡尔坐标系中的堵塞技术使之与底部边界吻合。本文还给出了一个９０°弯曲天然河道混合网格生成和流场初步计算算例，该算例表明混合网格及其相应的数学模型，克服了目前工程界计算三维天然水域常用的锯齿形网格法的主要缺点，有效地提高了天然水域中流动和污染输运数值计算和模拟的精度。
In the paper, a refined hybrid grid system,suitable for illustrating three-dimensional natural water bodies, and its corresponding flow and temperature transport model are presented. The hybrid grid system of natural water bodies are in orthogonal body-fitted curvilinear coordinates in horizontal directions, and in Cartesians coordinate in the vertical direction. Inthe horizontal plane, the orthogonal they-fitted coordinate (BFC) system exactly fits the shore lines, and in the vertical direction, the blockage coefficients in the Cartesian coordinate system approximately fit the bottom topography. The main principle and method of numerical mesh generation ate stated. The governing equations of the hybrid grid algorithm in the conservative form are established. The discrethation of fundamental governing equations, derived by the pressure-velocity correction algorithm, is presented. An example of numerical compunction, the grid generation and flow simulation in a 90°curved river reach, has been provided in this paper.The preliminary computational results show that the hybrid grid method and its corresponding mathematical model have great potential to establish a powerful numerical analysis tool, which is espeially suitable for simulating the irregular three-dimensional nutural water domains, and can enhance effusively the accuracy of three-dimensional numerical computation of the flow, waste heat, sediment and pollutant transport in nutural water bodies.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1994年第3期361-375,共15页
Chinese Journal of Hydrodynamics
关键词
混合网格
数值模型
天然水域
水力学
hybrid grid
numerical model
flow
natural water bodies
