Improved high-order nonlinear spatial discretization method for solving Euler equation

A spatially discrete and improved technology, applied in complex mathematical operations, design optimization/simulation, special data processing applications, etc., can solve problems such as excessive numerical dissipation errors

Active Publication Date: 2021-01-12
AERODYNAMICS NAT KEY LAB
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Problems solved by technology

However, the TVD format has the problem of excessive numerical dissipation error

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  • Improved high-order nonlinear spatial discretization method for solving Euler equation
  • Improved high-order nonlinear spatial discretization method for solving Euler equation
  • Improved high-order nonlinear spatial discretization method for solving Euler equation

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Embodiment Construction

[0103] The present invention will be further described below in conjunction with the accompanying drawings.

[0104] Such as figure 1 As shown, the present invention provides a kind of improved high-order nonlinear space discretization method for solving the Euler equation, comprising the following steps:

[0105] Step 1. Read the initial flow field data, and calculate the positive and negative fluxes on each node at each moment for the Euler equation;

[0106] Step 2. Perform characteristic projection on the positive and negative fluxes on each node to obtain the characteristic flux, and calculate the discontinuity detection factor according to the characteristic flux on each node;

[0107] Step 3. According to the discontinuity detection factor, the high-order hybrid calculation method of the numerical flux on the half point is constructed, and the spatial discretization of the Euler equation is completed;

[0108] Step 4, using the third-order Runge-Kutta method to discre...

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Abstract

The invention provides an improved high-order nonlinear spatial discretization method for solving an Euler equation, and the method comprises the following steps: 1, reading initial flow field data, and calculating the positive and negative fluxes of each node at the moment of the Euler equation; 2, performing feature projection on the positive flux and the negative flux on each node to obtain a feature flux, and calculating an intermittent detection factor according to the feature flux on each node; 3, constructing a high-order hybrid calculation method of numerical flux on a half point according to the intermittent detection factor, and completing spatial discretization of the Euler equation; 4, discretizing the time items by adopting a three-order Runge-Kutta method; and 5, pushing thetime to a specified tN to finish calculation to obtain flow field data at the tN moment. According to the improved high-order nonlinear spatial discretization method, the WENN-LC format has higher flow structure resolution than a traditional NND format under the same grid; in addition, the hyWENN-LC mixed format not only has higher resolution, but also has higher calculation efficiency.

Description

technical field [0001] The invention relates to the field of numerical calculation methods in computational fluid dynamics, in particular to an improved high-order nonlinear space discrete method for solving the Euler equation. Background technique [0002] During the development of hypersonic vehicles, the aerodynamic force / thermal force predicted by conventional commercial software numerical simulation is quite different from the actual flight data. The numerical discretization of the convection term (simplified to the Euler equation) in the governing equation will directly affect the resolution of the shock wave in the inviscid flow region, and indirectly affect the prediction of the flow in the boundary layer. [0003] At present, software and in-house codes for engineering calculations widely use the second-order TVD format (such as NND format), which has good numerical stability. However, the TVD format has the problem of excessive numerical dissipation error. In rec...

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Application Information

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IPC IPC(8): G06F30/20G06F17/11
CPCG06F30/20G06F17/11Y02T90/00
Inventor 李辰郭启龙孙东刘朋欣涂国华黄文锋
Owner AERODYNAMICS NAT KEY LAB
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