Numerical method of using Euler equation in Lagrange form to solve inverse problems of one kind

A technique of equation solving, numerical methods, applied in the field of computational fluid dynamics

Inactive Publication Date: 2013-01-16
西安远景动力模拟技术有限公司
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Problems solved by technology

It is this flux that causes the numerical dissipation in the numerical solution, since the numerical dissipation is directly related to the error caused by the numerical approximation to the convective term

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  • Numerical method of using Euler equation in Lagrange form to solve inverse problems of one kind
  • Numerical method of using Euler equation in Lagrange form to solve inverse problems of one kind
  • Numerical method of using Euler equation in Lagrange form to solve inverse problems of one kind

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Embodiment Construction

[0188] 5.1 Inviscid subsonic flow in a diverging nozzle

[0189] According to the method introduced in the present invention, a complete simulation of inviscid and subsonic internal flow using Lagrangian Euler equation is given below. This example is for subsonic flow through a two-dimensional parabola of length L and inlet height H in expansion nozzle. Its geometry is defined by two parabolas,

[0190] H ( x ) = - a x 2 , 0 ≤ x L / 2 ; a ( x ...

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Abstract

The invention relates to a numerical method, and provides and solves a novel two-dimensional Euler equation in Lagrange form to solve inverse problems of solid wall face geometric shape design. The invention provides a mapping mode for deducing the Euler equation on a Lagrange plane, computational grid is simplified, and numerical dissipation of convective terms is lowered furthest. Using the numerical method of using the Euler equation in Lagrange form to solve the inverse problems of one kind can simultaneously obtain solution of flow field physical quantity and solution of the solid wall face geometric shape design.

Description

1. Technical field [0001] The invention relates to a numerical method for simulating the flow of subsonic inviscid flow and solving a class of inverse problems. This type of inverse problem refers to the design problem of the geometry of an aerodynamic object in a subsonic flow field. The invention belongs to the field of computational fluid dynamics (CFD-Computational Fluid Dynamics). 2. Background technology [0002] 2.1 Prior work [0003] Most calculations in computational fluid dynamics are to solve the fluid governing equations in Euler form. This means that in the Euler plane in Cartesian coordinates, the calculation grid must be generated in advance according to the constraints of the object. Grids form grid cells. There is a flux of convective terms as the fluid passes across the interface of the grid cells. It is this flux that causes numerical dissipation in the numerical solution, since the numerical dissipation is directly related to the error caused by the...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/10
Inventor 路明
Owner 西安远景动力模拟技术有限公司
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