Large-scale parallel processing method of moving particle semi-implicit method

A technology of parallel processing and processing methods, applied in the direction of concurrent instruction execution, electrical digital data processing, special data processing applications, etc., can solve the problems of large deformation free surface processing complexity, numerical dissipation, solution errors, etc.

Inactive Publication Date: 2013-01-30
XI AN JIAOTONG UNIV
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Problems solved by technology

For the problem of free surface flow with severe fluctuations, the processing of large deformation free surface is very complex and time-consuming work, and sometimes leads to solution errors; in addition, the numerical dissipation of the convective term in the mesh method is also a very serious problem. The problem

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  • Large-scale parallel processing method of moving particle semi-implicit method
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  • Large-scale parallel processing method of moving particle semi-implicit method

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Embodiment Construction

[0037] The present invention will be further described below in conjunction with drawings and embodiments.

[0038] The steps of SLA algorithm to solve the pressure Poisson equation are as follows:

[0039] The SLA algorithm is actually a Krylov subspace method. Let m be the dimension of the Krylov subspace. The specific algorithm of the symmetric Ranchos algorithm for solving the symmetric matrix equations Ax=b is as follows:

[0040] 1) Given the error limit ε>0, the initial solution vector x 0 ∈R n ;

[0041] 2) Calculate r 0 =b-Ax 0 ,β=||r 0 ||,v 1 = r 0 / β;

[0042] 3) for k=1to n do

[0043] beta 1 =0

[0044] for i=1to m do

[0045] alpha i =(Av i ,v i )

[0046] v t =Av i -α i v i -β i v i-1

[0047] if(ii+1 =||v t ||, v i+1 =v t / β i+1

[0048] End for

[0049] 4) Use the chasing method to solve the following m-dimensional tridiagonal equations:

[0050] Solve for y, calculate z m = ...

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Abstract

The invention provides a large-scale parallel processing method of a moving particle semi-implicit method. The method comprises the following steps of: (1) adopting an efficient and easily-paralleled symmetric Lanczos algorithm SLA to solve a pressure poisson equation in the semi-implicit particle method; and (2) adopting parallel models (such as OpenMP, OpenCL) sharing an inner memory and/or a parallel model (MPI (Message Passing Interface)) for transmitting a message, and a mixed model of the parallel models to carry out parallel acceleration algorithm. The moving particle semi-implicit method of the pressure poisson equation is solved by large-scale parallel acceleration requirements and the parallel acceleration effect is obvious.

Description

technical field [0001] The invention belongs to the field of computer simulation of fluid flow, relates to the simulation of free surface flow of incompressible fluid, in particular to a large-scale parallel processing method of semi-implicit particle-like method. Background technique [0002] Free surface flow is a common flow, which is involved in dam break flow, open channel flow of rivers, and heat and mass transfer in evaporation and boiling processes. Using computer to accurately simulate free surface flow is beneficial to engineering applications Significant; the particle method is to track the motion of particles under the Lagrangian framework, so it is easy to simulate free surface flow. [0003] With the development of computer technology, computer simulation of fluid flow has become an important method to study fluid motion. The mesh method is the earliest computer simulation method for fluid motion. When dealing with free surface flow, it is necessary to introdu...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F9/38G06F17/50
Inventor 陈斌段广涛
Owner XI AN JIAOTONG UNIV
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