Method for performing numerical simulation on compressible flow problem through high-order WENO format order reduction

A numerical simulation and format technology, applied in CAD numerical modeling, special data processing applications, design optimization/simulation, etc., to achieve the effects of not easy calculation failure, good shock wave stability, and low possibility of non-physical oscillations

Active Publication Date: 2021-01-01
AERODYNAMICS NAT KEY LAB
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[0004] The technical problem to be solved by the present invention is to provide a method for numerically simulat

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  • Method for performing numerical simulation on compressible flow problem through high-order WENO format order reduction
  • Method for performing numerical simulation on compressible flow problem through high-order WENO format order reduction
  • Method for performing numerical simulation on compressible flow problem through high-order WENO format order reduction

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[0048] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, and are not intended to limit the present invention, that is, the described embodiments are only some of the embodiments of the present invention, but not all of the embodiments. The components of the embodiments of the invention generally described and illustrated in the figures herein may be arranged and designed in a variety of different configurations. Accordingly, the following detailed description of the embodiments of the invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the invention. Based on the embodiments of the present ...

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Abstract

The invention discloses a method for performing numerical simulation on a compressible flow problem through high-order WENO format order reduction, which comprises the following steps of: S1, judgingwhether order reduction is required or not according to a criterion for a given WENO format with the highest precision when numerical flux of a certain position is calculated; s2, if order reduction is needed, judging whether order reduction is needed or not for the second-high-precision WENO format after order reduction according to the same criterion in the step S1; s3, circularly executing thestep S2 until the WENO format with the lowest order precision does not need to be reduced or reached; and then calculating the numerical flux of the position by adopting a WENO format with corresponding precision so as to further calculate the numerical simulation value of the position for the compressible flow problem containing the shock waves. The method can be used for the conservation type differential format, and the calculation amount is small due to the fact that the used format is determined in advance.

Description

technical field [0001] The invention relates to the technical field of numerical simulation of compressible flow, in particular to a method for numerical simulation of compressible flow problems through high-order WENO scheme reduction. Background technique [0002] In the numerical simulation of compressible flow, discontinuities and other continuous small-scale structures may exist at the same time. The high-order precision WENO (Weighted essentially non-oscillatory) scheme can capture discontinuities and achieve high accuracy in smooth regions. order accuracy, which is often used to simulate such problems. Usually higher-order schemes can obtain finer flow structures in the continuous region of the flow field, and can capture shock waves more sharply. [0003] However, for strongly nonlinear discontinuity problems, non-physical oscillations are more likely to occur when using the high-order WENO scheme, and the calculation may even fail. One reason is that higher-order ...

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Application Information

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IPC IPC(8): G06F30/20
CPCG06F30/20G06F2111/10
Inventor 武从海罗勇韩帅斌田浩张树海李虎王益民马瑞轩
Owner AERODYNAMICS NAT KEY LAB
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