A graphics processing unit-based robust numerical model for solute transport driven by torrential flow condition

作     者：Jing-ming HOU Bao-shan SHI Qiu-hua LIANG Yu TONG Yong-de KANG Zhao-an ZHANG Gang-gang BAI Xu-jun GAO Xiao YANG Jing-ming HOU;Bao-shan SHI;Qiu-hua LIANG;Yu TONG;Yong-de KANG;Zhao-an ZHANG;Gang-gang BAI;Xu-jun GAO;Xiao YANG

作者机构：State Key Laboratory of Eco-hydraulics in Northwest Arid Region of ChinaXi’an University of TechnologyXi’an 710048China School of ArchitectureBuilding and Civil EngineeringLoughborough UniversityLoughborough LE113TUUK Northwest Engineering Corporation LimitedXi’an 710065China 

出 版 物：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 (浙江大学学报（英文版）A辑（应用物理与工程）)

年 卷 期：2021年第22卷第10期

页      面：835-850页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 081502[工学-水力学及河流动力学] 0815[工学-水利工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.52009104 and 52079106) the Shaanxi Provincial Department of Water Resources Project(No.2017slkj-14) the Shaanxi Provincial Department of Science and Technology Project(No.2017JQ3043),China 

主　　题：Solute transport Shallow water equations Godunov-type scheme Harten-Lax-van Leer-contact(HLLC)Riemann solver Graphics processing unit(GPU)acceleration technology Torrential flow 

摘      要：Solute transport simulations are important in water pollution *** paper introduces a finite volume Godunovtype model for solving a 4×4 matrix form of the hyperbolic conservation laws consisting of 2D shallow water equations and transport *** model adopts the Harten-Lax-van Leer-contact(HLLC)-approximate Riemann solution to calculate the cell interface *** can deal well with the changes in the dry and wet interfaces in an actual complex terrain,and it has a strong shock-wave capturing *** monotonic upstream-centred scheme for conservation laws(MUSCL)linear reconstruction with finite slope and the Runge-Kutta time integration method can achieve second-order *** the same time,the introduction of graphics processing unit(GPU)-accelerated computing technology greatly increases the computing *** model is validated against multiple benchmarks,and the results are in good agreement with analytical solutions and other published numerical *** third test case uses the GPU and central processing unit(CPU)calculation models which take 3.865 s and 13.865 s,respectively,indicating that the GPU calculation model can increase the calculation speed by 3.6 *** the fourth test case,comparing the numerical model calculated by GPU with the traditional numerical model calculated by CPU,the calculation efficiencies of the numerical model calculated by GPU under different resolution grids are 9.8–44.6 times higher than those by ***,it has better potential than previous models for large-scale simulation of solute transport in water pollution *** can provide a reliable theoretical basis and strong data support in the rapid assessment and early warning of water pollution accidents.