Looking for breakthrough ideas for innovation challenges? Try Patsnap Eureka!

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
View PDF4 Cites 7 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

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

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • 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

Examples

Experimental program
Comparison scheme
Effect test

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...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

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...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
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
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Patsnap Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Patsnap Eureka Blog
Learn More
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com