Sensitivity parallelization and GPU acceleration method based on meshless method topological optimization

A topology optimization, meshless technology, applied in the field of simulation computing, can solve the problems of reducing the time-consuming calculation of sensitivity, lack of parallelization characteristics, time-consuming and other problems, and achieve the effect of excellent parallel characteristics and easy programming.

Pending Publication Date: 2021-10-01
XIANGTAN UNIV
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Problems solved by technology

This method can overcome the shortcomings of traditional sensitivity calculation methods that are time-consuming and do not have parallel characteristics, and effectively reduce the time-consuming sensitivity calculation in topology optimization based on the meshless method

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  • Sensitivity parallelization and GPU acceleration method based on meshless method topological optimization
  • Sensitivity parallelization and GPU acceleration method based on meshless method topological optimization
  • Sensitivity parallelization and GPU acceleration method based on meshless method topological optimization

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Embodiment Construction

[0043] The present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.

[0044] The sensitivity parallelism and its GPU acceleration method based on meshless method topology optimization of the present invention, its specific implementation steps are as follows:

[0045] (1) Perform an equivalent transformation on the calculation formula of the sensitivity of the objective function in the structural topology optimization model based on the meshless method, that is, transform it into a part of Q related to the overall characteristic matrix of the structure and the degree of freedom vector (Q and the integration point are one by one Corresponding relationship) and the functional form of the remaining part R (R and the node have a one-to-one correspondence relationship), as shown in formula (1):

[0046] S=S(Q,R) (1);

[0047] Among them, S is the sensitivity value of the objective function.

[0048] (2) see figure...

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Abstract

The invention discloses a sensitivity parallelization and GPU acceleration method based on meshless method topological optimization. The method comprises the following steps of: carrying out equivalent transformation on a calculation formula of the sensitivity of a target function in a meshless method-based structure topological optimization model, namely transforming the calculation formula into a function form of a part Q and a residual part R which are related to an overall characteristic matrix and a degree-of-freedom vector of a structure; traversing all integration points by taking the integration points as parallel computing units of coarse granularity, parallel-computing the Q values at the integration points, and temporarily storing the Q values in corresponding storage units; traversing all nodes by taking the nodes as parallel computing units of coarse granularity, extracting Q values corresponding to all the integration points in the influence of the nodes, computing the sensitivity values S of the target function at the nodes in parallel, and storing the sensitivity values S in corresponding storage units; and releasing all the storage units temporarily storing the Q values. The method is low in hardware cost and high in universality, the calculation efficiency of the sensitivity of the target function can be effectively improved, and time consumed in the topological optimization process is greatly shortened.

Description

technical field [0001] The invention belongs to the technical field of simulation calculation in computer-aided engineering, and in particular relates to a parallel analysis of the sensitivity of an objective function based on a gridless method for structural topology optimization and a GPU (Graphics Processing Unit) acceleration method thereof. Background technique [0002] Meshless methods have developed rapidly in the field of computational simulation in recent decades. The meshless method is different from the traditional finite element method that uses field variable interpolation, but uses the method of field variable approximation, so that the meshless method only needs discrete node information, and does not need grid information between nodes, which fundamentally avoids Numerical calculations such as grid distortion caused by the grid are difficult. A variety of mesh-free methods have been developed, such as smoothed particle hydrodynamics (SPH), mesh-free Garlerki...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F9/50G06F9/54G06T1/20G06T1/60
CPCG06F9/5016G06F9/5027G06F9/544G06T1/20G06T1/60G06F2209/5018
Inventor 卢海山龚曙光谢桂兰张建平尹硕辉
Owner XIANGTAN UNIV
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