Integrate function over a closed surface

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LW942
LW942 2018-1-12
编辑： Torsten 2018-1-12
Hi
I need to perform an integral over the surface of a sphere/circle (haven't decided on 2d vs 3d simulation yet) of the force due to an inhomogeneous and time-varying scalar pressure field to calculate the instantaneous net pressure force on the sphere.
So this will require integrating dF = P(r)dA across the surface, where P(r) is an arbitrary function of position from an external origin (a source of expanding gas)
Can this be done directly or would I have to divide the surface into triangles and approximate the pressure on each before summing? If the latter how would I go about this
Cheers
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LW942
LW942 2018-1-12
Sorry, the sphere is a particle near a source of gas. This gas source is what generates P(r), so P(r) is a function of position from the origin
Torsten
Torsten 2018-1-12
编辑：Torsten 2018-1-12
This can be done directly if you can supply P(r) for each value of r.
Use spherical coordinates and MATLAB's "integral2" for the 3d-case.
Best wishes
Torsten.

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