Isogeometric solution and heat dissipation topology generation method for heat flow strong coupling problem

Abstract

The invention discloses an isogeometric solution and heat dissipation topology generation method for a heat flow strong coupling problem. A physical field model is constructed through isogeometric analysis, the geometric model is accurately described by the analysis model, the precision of numerical solution of the heat flow strong coupling physical field is effectively improved, meanwhile, the isogeometric analysis grid is defined by a node vector corresponding to the isogeometric analysis grid for describing a geometric model parameter domain, a redundant grid division link in a classical finite element is avoided, and the calculation cost is saved; the method can solve the problems of low solving precision, large calculated amount, long consumed time and the like of the heat flow strongcoupling problem, and is suitable for optimal design of a heat flow structure.

Description

technical field [0001] The invention belongs to the technical field of optimization design of steady-state heat dissipation performance of structures, and in particular relates to an isogeometric solution to a heat flow strong coupling problem and a heat dissipation topology generation method. [0002] technical background [0003] The coupling of engineering fluid flow systems with temperature fields, electric fields, etc. is common in many fields. However, the design of these heat flow structures often relies on the designer's experience accumulation or based on shape optimization methods; It has been well developed over several decades, but these works are limited to determining the optimal boundary shape of the structure, and do not allow the connectivity of the structure to change during the optimization process. Topology optimization aims at specific performance in the design domain, and achieves the best material distribution under the condition of given material propo...

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Problems solved by technology

The geometric design model of the heat flow structure contains complex and fine geometric information, while the finite element analysis model describes a simplified geometric model, there is a certain difference between the two, and there are errors in the calculation; reducing the grid size can effectively eliminate The difference between the two, but followed by a surge in the number of grids and calculations, and a substantial increase in time costs; in the finite element method, grid division is to generate discrete calculation areas from the continuous CAD object model that needs to be analyzed The key is the conversion process from the design model to the analysis model, which is the most time-consuming step in the model analysis process, and can even occupy 80% of the total time of product design and analysis

Fluid problems have a large amount of calculation, complex grid division, and grid quality and model analysis have a very close influence on the solution results. Therefore, the combination of traditional finite element methods and topology optimization cannot meet the requirements of solving heat-fluid strong coupling problems in many cases. Require

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