Divergence Theorem (Gauss’, Ostrogradsky’s) to Measure Flow

Example showing that the volume integral of the divergence of f = surface integral of the magnitude of f normal to the surface (f dot n)
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Updated 23 Feb 2019

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%% Divergence Theorem to Measure the Flow in a Control Volume (Rectangular Prism)
% Example Proof: flow = volume integral of the divergence of f (flux density*dV) = surface integral of the magnitude of f normal to the surface (f dot n) (flux*dS)
% by Prof. Roche C. de Guzman

Cite As

Roche de Guzman (2026). Divergence Theorem (Gauss’, Ostrogradsky’s) to Measure Flow (https://www.mathworks.com/matlabcentral/fileexchange/70371-divergence-theorem-gauss-ostrogradsky-s-to-measure-flow), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2018b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Version Published Release Notes
1.0.0