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CLC number: TV131.2

On-line Access: 2021-10-18

Received: 2020-12-13

Revision Accepted: 2021-02-04

Crosschecked: 2021-09-26

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Bao-shan Shi

https://orcid.org/0000-0001-5460-3139

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


Author(s):  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

Affiliation(s):  State Key Laboratory of Eco-hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an 710048, China; more

Corresponding email(s):  2180421229@stu.xaut.edu.cn

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


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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. A graphics processing unit-based robust numerical model for solute transport driven by torrential flow condition[J]. Journal of Zhejiang University Science A, 2021, 22(6): 835-850.

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author="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",
journal="Journal of Zhejiang University Science A",
volume="22",
number="10",
pages="835-850",
year="2021",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2000585"
}

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Abstract: 
Solute transport simulations are important in water pollution events. This paper introduces a finite volume Godunov-type model for solving a 4×4 matrix form of the hyperbolic conservation laws consisting of 2D shallow water equations and transport equations. The model adopts the Harten-Lax-van Leer-contact (HLLC)-approximate Riemann solution to calculate the cell interface fluxes. It 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 ability. Using monotonic upstream-centred scheme for conservation laws (MUSCL) linear reconstruction with finite slope and the Runge-Kutta time integration method can achieve second-order accuracy. At the same time, the introduction of graphics processing unit (GPU)-accelerated computing technology greatly increases the computing speed. The model is validated against multiple benchmarks, and the results are in good agreement with analytical solutions and other published numerical predictions. The 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 times. In 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 CPU. Therefore, it has better potential than previous models for large-scale simulation of solute transport in water pollution incidents. It can provide a reliable theoretical basis and strong data support in the rapid assessment and early warning of water pollution accidents.

基于图形处理器加速的急变流条件下溶质输移的稳健数值模型

目的:暴雨山洪灾害会对人类的生命安全和经济活动产生巨大影响.此类洪水事件会破坏化工厂或污水处理厂等可能释放有害溶质的设施,使释放的溶质随洪水向洪泛区或地势低洼处输移,进而严重影响公共卫生安全,加剧洪水对人类造成的危害.因此,需要一个高效稳健的数值模型来对其进行快速预警和评估.
创新点:1. 提出了一种基于图形处理器(GPU)加速的急变流驱动溶质运移的稳健数值模型;2. 探讨不同型号GPU和中央处理机(CPU)的计算性能和加速比.
方法:1. 采用Godunov格式的有限体积法求解二维浅水方程和溶质输移方程,利用HLLC近似黎曼求解器计算单元网格界面通量,并应用MUSCL限坡线性重建和龙格-库塔时间积分法实现二阶精度.2. 引入GPU加速计算技术提高模型计算效率.
结论:1. 通过理想算例和经典算例对模型精度和稳定性的验证,表明该模型能够有效地抑制数值阻尼和虚假的数值振荡,并且具有较好的和谐性;2. 采用不同型号的GPU和CPU计算模型模拟相同的事件,表明GPU加速技术在保证模拟精度的同时可实现大规模高效率计算;3. 该模型能够快速准确地模拟暴雨山洪或溃坝洪水引起的大规模突然性溶质输移过程,可以为水污染事故提供可靠的理论依据和有力的数据支撑.

关键词组:溶质输移;浅水方程;Godunov格式;HLLC黎曼求解器;GPU加速;急变流

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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