Flow boundary layer numerical analysis method based on flow function fractional coordinate system transformation

Abstract

The invention discloses a flow boundary layer numerical analysis method based on flow function fractional coordinate system transformation. The flow boundary layer numerical analysis method comprisesthe following steps: constructing a two-dimensional or three-dimensional fluid area as a simulation environment; setting initial parameters of the simulation environment, and configuring and initializing the simulation environment; abstracting the flow phenomenon to be studied, establishing a physical model, and selecting a corresponding control equation; setting shape parameters of the simulationenvironment, and establishing a space coordinate system according to the shape parameters; defining a flow function of the simulation environment, standardizing the flow function into a flow functionmass fraction according to the quality change condition of a boundary layer, and converting the space coordinate system into a space-flow function mass fraction coordinate system; and defining a solver of the simulation environment, performing discrete solution of the control equation, and outputting the discrete solution to a computer for visual analysis. According to the method, errors caused by discretization and theoretical model distortion are reduced, the numerical analysis model is simplified, and the requirement for computing resources is lowered.

Description

technical field [0001] The invention relates to the field of computational fluid dynamics numerical analysis methods, in particular to a flow boundary layer numerical analysis method based on flow function fractional coordinate system transformation. Background technique [0002] Computational Fluid Dynamics (Computational Fluid Dynamics, CFD) is an interdisciplinary subject between mathematics, fluid mechanics and computers that has emerged with the development of computers since the 1950s. The main research content is to use computers and numerical methods to Solve the governing equations of fluid mechanics, simulate and analyze fluid mechanics problems. [0003] The most basic consideration of CFD is how to deal with continuous fluid in a discrete way on the computer. One approach is to discretize the spatial region into small cells to form a three-dimensional mesh or lattice, and then apply appropriate algorithms to solve the equations of motion. Such a grid can be irr...

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Problems solved by technology

[0014]1. When the mathematical model is discretized in space, it will cause errors

[0015]2. The theoretical model does not fully include various complex factors in the experiment, which will cause errors in the absence of experimental data correction

[0016]3. It is necessary to realize a given computational domain, but the problem to be solved actually affects the area that is changing, which will cause errors

[0017]4. Need to solve the complete fluid equation, which makes the demand for computing resources very huge

[0018]5. It is difficult to solve some specific engineering problems, such as film cooling, etc.

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