Fast View Factor Computation

版本 1.0.0.0 (3.5 KB) 作者: Matt Fig
Computes the view factors for two 3D planer polygons
415.0 次下载
更新时间 2016/9/22

查看许可证

This function will calculate and return the view factors (also called configuration factors) and the areas of the given planar polygons in 3D as needed for radiation heat transfer problems. As it uses Gauss-Legendre quadrature for the contour integrals, it is fast. The function also implements a fast polygon area calculation.
Also included is a test file which runs three different examples to compare the output of this file with known analytic results. This is included as a convenience to illustrate correct usage.
Example: Use ViewFactor to estimate the view factor between two parallel and coaxial circular disks of radius 1, separated by a distance of 3.

M = 120; % Number of vertices of approximating polygons.
[x,y,z] = cylinder(1,M); % Use CYLINDER to create M points on circle.
z(2,:) = z(2,:)*3; % Move 2nd disk from z=1 to z=3
C1 = [x(1,1:M-1)',y(1,1:M-1)',z(1,1:M-1)']; % Coords of the vertices of the polygons
C2 = [x(2,1:M-1)',y(2,1:M-1)',z(2 ,1:M-1)'];
VFe = .5*(11-sqrt(117)); % Exact solution, for comparison.
VF = ViewFactor(C1,C2,2); % Use 2 Gauss points per segment pair.
The value returned show a relative error of .04%

Inspired by file 5664.

引用格式

Matt Fig (2024). Fast View Factor Computation (https://www.mathworks.com/matlabcentral/fileexchange/59234-fast-view-factor-computation), MATLAB Central File Exchange. 检索来源 .

MATLAB 版本兼容性
创建方式 R2012b
兼容任何版本
平台兼容性
Windows macOS Linux
类别
Help CenterMATLAB Answers 中查找有关 Numerical Integration and Differential Equations 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
版本 已发布 发行说明
1.0.0.0

Added an image.