Supercharge Your Innovation With Domain-Expert AI Agents!

High precision lattice Boltzmann method based on intersection discontinuous Galerkin

A high-precision, lattice technology, applied in image data processing, special data processing applications, instruments, etc., to achieve the effect of improving accuracy

Inactive Publication Date: 2018-09-14
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
View PDF4 Cites 2 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0005] The present invention provides a high-precision lattice Boltzmann method based on intersection discontinuous Galerkin in order to solve the above-mentioned problems in the prior art. By introducing the intersection discontinuous Galerkin method, the present invention improves the lattice Boltzmann method The calculation accuracy is expected to be used to simulate more and more complex fluid dynamics problems

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
  • High precision lattice Boltzmann method based on intersection discontinuous Galerkin
  • High precision lattice Boltzmann method based on intersection discontinuous Galerkin
  • High precision lattice Boltzmann method based on intersection discontinuous Galerkin

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0028] The present invention will be further described below in conjunction with the accompanying drawings.

[0029] The key of the high-precision lattice Boltzmann method of the present invention is to solve the pure convection equation by utilizing the intersecting point discontinuous Galerkin method, thereby obtaining the calculation results on the grid unit, and its accuracy can be adjusted by adjusting the number of intersection points in the unit Take control.

[0030] For the incompressible viscous flow problem, the governing equation of the lattice Boltzmann method based on the multiple relaxation time model is:

[0031] g i (x+e i δt,t+δt)=g i (x,t)-M -1 S[R(x,t)-R eq (x,t)], i=0,1,...b-1

[0032] where g i is the distribution function on velocity space, R is g i A set of physical quantities (such as density, velocity, stress tensor, etc.) in the momentum space, M is the corresponding transformation matrix, R eq is the equilibrium state corresponding to R, S ...

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 discloses a high precision lattice Boltzmann method based on intersection discontinuous Galerkin. A pure convection equation is solved by using an intersection discontinuous Galerkin method, thereby obtaining a calculation result on a grid unit, and the precision can be controlled by adjusting the number of intersections within the unit. The intersection discontinuous Galerkin methodis introduced in the lattice Boltzmann method, and the accuracy of the flow field calculation result is improved by effectively adjusting and calculating the number of the intersections in the grid unit. On the basis, other computational techniques such as an immersion boundary method, a phase field method and the like are combined, and the purpose of simulating a variety of complex fluid mechanics problems by using the lattice Boltzmann method is achieved.

Description

Technical field: [0001] The invention relates to a high-precision lattice Boltzmann method based on intersecting discontinuous Galerkin, belonging to the technical field of computational fluid dynamics. Background technique: [0002] Computational fluid dynamics is a discipline that uses numerical methods to discretely solve flow control equations to obtain flow field information and predict fluid motion laws. In traditional computational fluid dynamics, the flow governing equation to be solved is the Navier-Stokes (N-S) equation. But in recent decades, the Lattice Boltzmann method (LBM) has gradually become another widely used computational fluid dynamics method. Compared with the N-S equation, LBM does not contain complex nonlinear terms, nor high-order derivative terms, it only has simple algebraic operation process. This greatly simplifies its calculation process and improves the universality of the application. However, due to the limitations of the inherent factors ...

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): G06F17/50G06T17/20
CPCG06T17/20G06F30/23G06F2111/10
Inventor 陈永亮沈梦吴杰
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
Features
  • R&D
  • Intellectual Property
  • Life Sciences
  • Materials
  • Tech Scout
Why Patsnap Eureka
  • Unparalleled Data Quality
  • Higher Quality Content
  • 60% Fewer Hallucinations
Social media
Patsnap Eureka Blog
Learn More

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

© 2025 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com