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Uncertainty quantification method for atmospheric boundary layer wind speed

A technology of atmospheric boundary layer and quantification method, applied in design optimization/simulation, special data processing applications, complex mathematical operations, etc., can solve problems such as uncertainty quantification of high-dimensional random models, and achieve the goal of overcoming the curse of dimensionality and excellent accuracy , calculate the simple effect of

Inactive Publication Date: 2021-08-06
NAT UNIV OF DEFENSE TECH
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Problems solved by technology

[0014] The purpose of this application is to solve the uncertainty quantification problem of high-dimensional stochastic model of multivariate response in the atmospheric boundary layer model, and propose an uncertainty quantification method of atmospheric boundary layer wind speed

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  • Uncertainty quantification method for atmospheric boundary layer wind speed
  • Uncertainty quantification method for atmospheric boundary layer wind speed
  • Uncertainty quantification method for atmospheric boundary layer wind speed

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Embodiment Construction

[0063] The present invention will be further explained below in conjunction with the accompanying drawings.

[0064] like figure 1 As shown, an uncertainty quantification method of atmospheric boundary layer wind speed includes the following steps:

[0065] Step 1: Use K-L decomposition to decorrelate the random turbulent viscosity coefficient:

[0066] Based on Karhunen-Loève decomposition, input: correlation length c, domain a, number of truncated terms b

[0067] Step 1, using K-L (Karhunen-Loève) decomposition to decorrelate the random turbulent viscosity coefficient; specifically includes:

[0068] Based on the K-L (Karhunen-Loève) decomposition, determine the correlation length c, the domain of definition a, and the number of truncated items b; and perform the following:

[0069] a1. Using numerical methods to solve the transcendental equations (4);

[0070]

[0071] a2. Get the eigenvalue λ according to the formula (5) i :

[0072]

[0073] According to the ...

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Abstract

The invention belongs to the field of boundary layer wind speed numerical calculation in atmospheric science, and particularly relates to an uncertainty quantification method for an atmospheric boundary layer wind speed. The method comprises the following steps: 1, using K-L decomposition for conducting decorrelation on random turbulence viscosity coefficients; 2, projecting the multivariate response value to one dimension by using a projection resampling method; 3, solving a full dimension reduction conversion matrix by using a slice inverse regression method; 4, regarding the dimension reduction space obtained in the step 3 as an error of a control variable constraint Monte Carlo method; 5, calculating the mean value and variance of the wind speed of the atmospheric boundary layer along with the height change. The method retains the effect of an inertia term, considers the change of the turbulence viscosity coefficient along with the height, is simple and convenient in calculation, is a practical and effective mode for researching the atmospheric boundary layer, is more accurate in result, belongs to a non-intrusive method, can effectively overcome the problem of curse of dimensionality, and under the condition that the calculated amount is less than that of the Monte Carlo method, the accuracy of the result is better.

Description

technical field [0001] The application belongs to the field of numerical calculation of boundary layer wind speed in atmospheric science, and in particular relates to an uncertainty quantification method of atmospheric boundary layer wind speed. Background technique [0002] The study of the planetary atmospheric boundary layer is very important for the development of climate models and numerical prediction models, and the selection of the boundary layer model is very critical. The complete boundary layer model is too complex to be conducive to calculation and analysis, and the simplified Ekman model is too simple to describe the nonlinear characteristics of the boundary layer. Among the existing schemes, the generalized Ekman momentum approximation model proposed by Tan and Wang retains the role of the inertial term, considers the variation of the turbulent viscosity coefficient with height, and is easy to calculate. It is a practical and effective method for studying the a...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F17/18G06F17/11
CPCG06F30/20G06F17/11G06F17/18
Inventor 颜冰汪四成马树青邱伟李乐刘芙妍
Owner NAT UNIV OF DEFENSE TECH
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