CN-122020908-A - Wave-taking windward side parameterized design method without solving partial differential equation

Abstract

The invention provides a wave-taking windward side parameterized design method without solving partial differential equations, which designs windward side molded lines and front edge curves in a form of a display function, remarkably simplifies wave-taking design flow of the windward side on the basis of maintaining wave-taking characteristics, and further improves wave-taking design efficiency of the windward side. Through optimizing the wave-taking design flow, the design efficiency of the wave-taking windward front edge shape and the curved surface shape, the intuitiveness of shape adjustment and the shape adjustment efficiency are further improved.

Inventors

• DUAN YI
• DUAN HUISHEN
• YAO SHIYONG
• TIAN CHUAN
• LI SIYI
• SHI WENDONG
• SUN JINGYANG
• WANG DING
• LIU YUANCHUN
• ZHAN ZHENLIN
• LI WENHAO
• RAO CAIYAN
• GAO YUAN
• MIAO MENG
• ZHANG JIAN

Assignees

• 北京临近空间飞行器系统工程研究所

Dates

Publication Date

20260512

Application Date

20260210

Claims (5)

1. 1. The wave-taking windward side parameterization design method without solving partial differential equation is characterized by comprising the following steps: (1) Wave-taking windward front edge design and parameterization description; (2) And (5) designing and parametrizing a wave-taking windward curved surface.
2. 2. The method of claim 1, wherein in the step (1), the shape of the leading edge curve is expressed by a bezier curve, and the parameterized expression of the leading edge curve is: Wherein, the , The three-dimensional coordinates of the six control points are freely set according to the requirement.
3. 3. The method of parameterizing a windward side of a wave without solving partial differential equations according to claim 2, wherein in the step (2), a flow direction cross-sectional curve is corresponding to any point on the leading edge curve, The corresponding flow direction section curve parameterized expression at the position is: Wherein, the , Is the deflection angle of the cross section, For the length of the waverider, Parameters related to flow direction cross-section curve Is a function of the shape of (a).
4. 4. A method of designing a wave-taking windward side parameterization without solving partial differential equations according to claim 3, wherein the shape function in the flow direction cross section curve is a binary function satisfying three equations: Wherein, the For the origin deflection angle of the flow direction section curve, Is the terminal deflection angle of the flow direction section curve.
5. 5. The method of parameterizing a wave-front surface without solving partial differential equations according to claim 4, wherein one feasible solution of the shape function is: Wherein, the Is the length of the waverider.

Description

Wave-taking windward side parameterized design method without solving partial differential equation Technical Field The invention belongs to the field of pneumatic layout, and particularly relates to a wave-taking windward side parameterized design method without solving partial differential equations. Background The lift-drag ratio is an important parameter for evaluating the performance of a high-speed aircraft, and the wave multiplication design of the windward side is a common measure for improving the lift-drag ratio. Classical waverider design theory, such as cone waverider design, oscillometric cone waverider design and oscillometric flow field waverider design, includes three steps, including constructing characteristic line mesh according to preset shock plane and solving partial differential equation to complete reference flow field design, projecting given two-dimensional front edge line contour onto shock curved surface to obtain final three-dimensional front edge line contour, and finally generating points on the three-dimensional front edge line contour to obtain complete windward shape by streamline tracing method. The complex windward wave-taking design flow limits the generation efficiency of the windward, the front edge design flow based on a projection method causes lack of a direct means for adjusting the shape of a front edge line, so that the adjustment of the shape of the front edge line can be completed only by a large number of iterations, and the windward construction method based on streamline tracking causes that the windward consists of thousands of discrete points, so that the manual adjustment of the curved surface shape in three-dimensional modeling software is difficult to realize. Disclosure of Invention In order to solve the problems, the invention provides a wave-taking windward side parameterized design method without solving partial differential equations, which designs windward side molded lines and front edge curves in a form of a display function, remarkably simplifies wave-taking design flow of the windward side on the basis of maintaining wave-taking characteristics, and further improves wave-taking design efficiency of the windward side. Through optimizing the wave-taking design flow, the design efficiency of the wave-taking windward front edge shape and the curved surface shape, the intuitiveness of shape adjustment and the shape adjustment efficiency are further improved. A wave-taking windward side parameterization design method without solving partial differential equation comprises the following steps: (1) Wave-taking windward front edge design and parameterization description; (2) And (5) designing and parametrizing a wave-taking windward curved surface. In the step (1), the shape of the leading edge curve is expressed by a bezier curve, taking a six-control-point bezier curve as an example, and the parameterized expression of the leading edge curve is as follows: Wherein, the ,The three-dimensional coordinates of the six control points are freely set according to the requirement. Further, in the step (2), based on a flow direction section curve corresponding to any point on the leading edge curve,The corresponding flow direction section curve parameterized expression at the position is: Wherein, the ,Is the deflection angle of the cross section,For the length of the waverider,Parameters related to flow direction cross-section curveIs a function of the shape of (a). Further, the shape function in the flow direction cross section curve is a binary function satisfying the following three equations: Wherein, the For the origin deflection angle of the flow direction section curve,Is the terminal deflection angle of the flow direction section curve. Further, one possible solution to the shape function is: Wherein, the Is the length of the waverider. The beneficial effects of the invention are as follows: (1) The shape of the front edge of the windward side is regulated in a form of a display function, so that the problems of poor efficiency and low design freedom brought by the traditional projection method are solved; (2) On the premise of keeping basic waverider characteristics, the windward shape is directly solved through a plurality of display functions, and the curved surface shape is only controlled and generated by more than ten parameters, so that the design efficiency and the convenience of curved surface shape adjustment are improved. Drawings FIG. 1 is a flow chart of a method of designing a wave-taking windward side parameterization without solving partial differential equations; FIG. 2 is a schematic view of a wave front curve designed according to the present invention, wherein L is the length of the wave body, W is the half-span of the wave body, the curve is parameterized by Bezier curve, and the O point corresponds to The position corresponding to the point AA location; FIG. 3 is a schematic view of a flow direction cross-sectional profile c