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Domain decomposition parallel method effective for unconditional stable time-domain finite difference method

A finite difference method and domain decomposition technology, applied in the field of large-scale parallel computing, can solve the problems of prolonged simulation time, inability to enlarge the time step, limiting large-scale and efficient parallel computing, etc., so as to reduce the computing time and enlarge the time step. Effect

Active Publication Date: 2017-10-10
NANJING UNIV OF SCI & TECH
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Problems solved by technology

Although the traditional explicit finite-difference time-domain method satisfies the natural parallelism and can realize large-scale parallel computing, the explicit finite-difference time-domain method is limited by stability conditions and cannot enlarge the time step, resulting in longer simulation time
Implicit scheme finite difference method in time domain, such as leapfrog alternate direction implicit scheme finite difference method in time domain is not limited by stability conditions and can enlarge the time step, but it needs to solve the tridiagonal matrix during the solution process, which limits large-scale efficient parallel computing

Method used

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  • Domain decomposition parallel method effective for unconditional stable time-domain finite difference method
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  • Domain decomposition parallel method effective for unconditional stable time-domain finite difference method

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[0014] The present invention will be described in further detail below in conjunction with the accompanying drawings.

[0015] The present invention is a kind of region decomposition parallel method effective to the unconditional stable time domain finite difference method, and the steps are as follows:

[0016] In the first step, MPI (message passing interface) is initialized, and the three-dimensional computing space is divided into regions according to each direction, the total number of processes is determined, and each process is numbered;

[0017] The second step is to execute the pre-processing of the program, and set the simulation parameters, including the setting of absorbing boundary conditions, the addition of plane waves, etc. attached figure 1 The solid line in is the boundary of the calculation area division in step 1. Each calculation area is expanded outwards to make it intersect with the adjacent calculation area to form a buffer area. For example, the actua...

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Abstract

The present invention discloses a domain decomposition parallel method effective for an unconditional stable time-domain finite difference method. In the present invention, the causal domain decomposition method is used to realize the height parallelization of the frog jump alternating direction implicit scheme time-domain finite difference method, and height parallel calculation can be carried out while the unconditional stability is maintained. According to the method disclosed by the present invention, the simulating calculation time on the time-domain finite difference method can be effectively saved, and the programming is simple and the method has a strong practical engineering application value.

Description

technical field [0001] The invention belongs to the numerical calculation technology of implicit format time-domain finite difference algorithm, belongs to the field of large-scale parallel computing, and specifically relates to an area decomposition parallel algorithm effective for unconditionally stable time-domain finite difference. Background technique [0002] With the rapid development of computer hardware technology, single-core computing can no longer meet the current needs, and multi-core large-scale parallel computing has become the current mainstream direction. Although the traditional explicit finite-difference time-domain method satisfies the natural parallelism and can realize large-scale parallel computing, the explicit finite-difference time-domain method is limited by stability conditions and cannot enlarge the time step, resulting in longer simulation time. Implicit scheme finite difference method in time domain, such as leapfrog alternate direction implici...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06F9/54
CPCG06F9/546G06F30/23
Inventor 陈如山陈星光丁大志樊振宏
Owner NANJING UNIV OF SCI & TECH
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