Pollutant convection diffusion equation high-performance numerical solution method based on multiple GPUs

Abstract

The invention discloses a pollutant convection diffusion equation high-performance numerical solution method based on multiple GPUs, and the method mainly comprises the steps of carrying out the initialization assignment of all calculation variables through two GPUs; dividing a calculation unit of the research area into an upper part and a lower part; filling a row of data at the boundary of each of the upper and lower calculation areas; distributing the calculation tasks averagely to the corresponding GPUs for batch calculation; calculating flux values in different directions and pollutant concentration values at different moments on the double GPUs by adopting a finite difference method discrete equation; after the first cycle calculation is completed, writing result data of the boundary part in the GPU into a memory for standby application, and copying the result data to the two GPUs to be subjected to data filling and cycle calculation until the end of the next iteration; and outputting a pollutant convection diffusion change result graph at each moment. According to the invention, the pollutant convective diffusion equation is solved by adopting a multi-GPU calculation method, and the calculation efficiency is higher than that of an existing convective diffusion equation solving method adopting a CPU and a single GPU.

Description

technical field [0001] The invention belongs to the technical field of high-performance numerical solution calculation for numerical equations, and relates to a multi-GPU-based high-performance numerical solution method for pollutant convection and diffusion equations. Background technique [0002] The environmental pollution of urban surface water has affected the safety of people's domestic water and the development of social economy, so the research on the change process of convective diffusion of pollutants is very important, which provides a powerful reference for evaluating the change of pollutants and early warning. In the process of sponge city construction proposed by the state, point source and non-point source pollution events will cause groundwater pollution, and it is very important to help solve these urban pollution problems by exploring the changing law of the convective diffusion process of pollutants. The convection and diffusion process of pollutants can b...

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Problems solved by technology

[0004] The purpose of the present invention is to provide a high-performance numerical solution method for pollutant convection-diffusion equation based on multiple GPUs, which solves the problem of low calculation efficiency of pollutant convection-diffusion equation in the prior art

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