Dynamic mesh numerical solution method based on modified fluid motion equation

Abstract

The invention relates to a dynamic mesh numerical solution method based on a modified fluid motion equation, and belongs to the technical field of optimization methods. The method comprises the following steps: introducing an original non-linear convective term inside a concept deconstruction equation of convection speed into a speed equation on the basis of a classic cauchy equation of motion; deriving a linear modified fluid motion equation so as to establish a dynamic mesh numerical iteration solver special for the modified fluid motion equation under a finite volume discretization method. The linear characteristic of the dynamic mesh numerical iteration solver achieves obvious advantage on solving the problem of an internal flow field of a rotary machine, namely the speed item coefficient a of an equation to be solved does not participate in the cyclical iteration process of a PISO algorithm any longer, the equation can be solved by only utilizing a dynamic mesh equation based on the convection speed w, flux change caused by mesh motion can be directly obtained through the convection speed, and thus a numerical calculation process becomes an iteration solution process of a simple speed item U and a pressure item p. The dynamic mesh numerical solution method disclosed by the invention has the characteristics of high operation efficiency, short calculating time and low operation cost aiming at the design calculation of the internal flow field of the rotary machine.

Description

technical field [0001] The invention relates to a dynamic grid numerical solution method based on a modified fluid motion equation, and belongs to the technical field of optimization methods. Background technique [0002] Due to the urgent needs of industrial research fields such as fluid machinery, especially the rapid development of computer technology in the past 30 years, computational fluid dynamics (CFD) has made great achievements. Today, CFD technology represented by the numerical solution of NS equations has been widely used in the research and development and design of rotating machinery, and has made remarkable achievements. However, with the gradual development of technology, CFD is also facing more and more confusion, especially in the solution of NS equations. After this partial differential equation is discretized by the finite volume method, it often generates a complex nonlinear algebraic equation system. From a mathematical point of view, the processing o...

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Problems solved by technology

Although the emergence of the concept of linear equations can theoretically solve some CFD technical problems caused by NS equations, due to the limitations of traditional analytical met

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