Finite-Volume Model for Shallow-Water Flooding of Arbitrary Topography
Finite-Volume Model for Shallow-Water Flooding of Arbitrary Topography
复制标题
DOI：
10.1061/(asce)0733-9429(2002)128:3(289
复制
发表时间：
2002-03
影响因子：
2.4
通讯作者：
Scott F. Bradford;B. Sanders
中科院分区：
文献类型：
--
作者：
Scott F. Bradford;B. Sanders
建立了一个基于有限体积法的非定常二维浅水流动模型，该模型适用于由洪水或衰退引起的具有移动横向边界的任意地形。该模型使用罗伊的近似黎曼解算器来计算通量，而守恒定律的单调上游方案和预测校正时间步进用于提供二阶精确解，不受伪振荡的影响。提出了一种鲁棒的新方法，可以在不扩散的情况下有效准确地模拟干湿边界的运动。此外，还引入了一种新技术，以防止人为加速静水在任意床层上的压力和床层斜率项造成的数值截断误差。对于一维和二维问题，模型预测比解析解、实验数据和其他数值解更有利。
A model based on the finite-volume method is developed for unsteady, two-dimensional, shallow-water flow over arbitrary topography with moving lateral boundaries caused by flooding or recession. The model uses Roe's approximate Riemann solver to compute fluxes, while the monotone upstream scheme for conservation laws and predictor-corrector time stepping are used to provide a second-order accurate solution that is free from spurious oscillations. A robust, novel procedure is presented to efficiently and accurately simulate the movement of a wet/dry boundary without diffusing it. In addition, a new technique is introduced to prevent numerical truncation errors due to the pressure and bed slope terms from artificially accelerating quiescent water over an arbitrary bed. Model predictions compare favorably with analytical solutions, experimental data, and other numerical solutions for one- and two-dimensional problems.