High-precision discontinuous Galerkin artificial viscous shock wave capture method based on flow field density phase step

A high-precision, artificial technology, applied in the field of computational fluid dynamics, which can solve problems such as the need to perform shock wave detection in advance, and achieve the effects of improved shock wave capture efficiency, fewer variables, and simplified calculation process.

Active Publication Date: 2018-06-12
CALCULATION AERODYNAMICS INST CHINA AERODYNAMICS RES & DEV CENT
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Problems solved by technology

[0005] The purpose of the present invention is to propose a high-precision discontinuous Galerkin artificial viscous shock wave capture method based on the flow field density step. This method needs to carry out shock wave detection in advance in the previous high-precision DG format shock wave capture, and the proc

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  • High-precision discontinuous Galerkin artificial viscous shock wave capture method based on flow field density phase step
  • High-precision discontinuous Galerkin artificial viscous shock wave capture method based on flow field density phase step
  • High-precision discontinuous Galerkin artificial viscous shock wave capture method based on flow field density phase step

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[0018] All the features disclosed in this specification, or all disclosed methods or steps in the process, except for mutually exclusive features and / or steps, can be combined in any manner.

[0019] The present invention is a method for capturing high-precision discontinuous Galerkin artificial viscous shock waves based on flow field density steps, such as figure 1 Shown includes three parts, of which:

[0020] The first part: adopt Euler equation to establish DG high precision frame. It includes the following steps:

[0021] Step 101: Construct Euler equation in differential form

[0022]

[0023] Where U represents the conserved quantity in the flow field, U is a vector, U=(ρ,ρu,ρv,ρw,ρE) T , Represents the partial derivative of the conserved quantity with respect to time t, F c Represents the conserved flux, Represents the divergence of the conserved flux.

[0024] Step 102: Grid division of the flow field area, and calculate Gauss integration points in the grid unit.

[0025] Ste...

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Abstract

The invention discloses a high-precision discontinuous Galerkin artificial viscous shock wave capture method based on flow field density phase step. The method comprises the steps that a DG high-precision frame is established, an Euler equation is adopted as a governing equation, dissection is conducted on a calculation area by adopting unstructured grids, a high-order HLLC format is adopted for discrete solution of convective terms of the equation, meanwhile the artificial viscous terms are added on the basis of the governing equation, and shock wave capturing is conducted on the basis of ensuring robustness and calculation accuracy. According to the method, adding of the artificial viscous terms is on the basis of phase step on grid cell surfaces, a shock wave detection technology is notneeded, dimensional homogeneity is ensured by adopting a normalized manner, and phase step quantity is allocated into the grid cells; density is adopted as phase step variable to construct artificialviscidity, additional shock wave detection process and the like are not needed, the number of needed variables for constructing an algorithm is small, and the calculation process is simplified; compared with the prior shock wave capture method, shock wave capturing efficiency is improved, iteration steps needed to effectively capture shock waves are significantly reduced, and needed CPU time is significantly reduced.

Description

technical field [0001] This paper relates to computational fluid dynamics technology, specifically a high-precision discontinuous Galerkin artificial viscous shock capture method. Background technique [0002] Due to the excellent characteristics of the high-precision discontinuous Galerkin (DG) method in numerical dissipation and dispersion, it has been highly valued by more and more CFD scholars and has been developed vigorously. According to Godunov's principle, no linear scheme with higher than first-order precision will have a single mediation. The high-precision DG method will produce Gibbs phenomenon near the shock discontinuity, which will cause the generation of non-physical understanding and lead to the interruption of calculation. How to effectively capture the shock wave and ensure the monotonicity and robustness of the format has become one of the important development directions of the DG method. In the DG method, there are generally limiter and reconstructio...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 赵辉陈江涛张耀兵马明生
Owner CALCULATION AERODYNAMICS INST CHINA AERODYNAMICS RES & DEV CENT
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