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COMSOL Multiphysics™

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elirradiation<br />

Purpose<br />

elirradiation<br />

Define irradiation variables for radiative heat transfer.<br />

Syntax<br />

Description<br />

el.elem = 'elirradiation'<br />

el.g{ig} = geomnum<br />

el.method = 'area' | 'hemicube'<br />

el.iorder = order<br />

el.resolution = res<br />

el.cache = 'on' | 'off'<br />

el.geomdim{ig}{edim}.ind{eldomgrp} = domainlist<br />

el.geomdim{ig}{edim}.name{eldomgrp} = Gname<br />

el.geomdim{ig}{edim}.ambname{eldomgrp} = Fname<br />

el.geomdim{ig}{edim}.expr{eldomgrp} = Jexpr<br />

el.geomdim{ig}{edim}.opexpr{eldomgrp} = opacity<br />

el.geomdim{ig}{edim}.cavity{eldomgrp} = cavitylist<br />

The elirradiation element defines one variable Gname representing the local<br />

irradiation from other surfaces and one Fname, known as ambient view factor,<br />

representing the fraction of the field of view not covered by other surfaces. The<br />

variable names can differ between domain groups.<br />

The irradiation at each point depends on the radiosity at all other visible surface<br />

points. An expression for the radiosity is provided in the expr field. For interior<br />

boundaries, it has to be made clear in which direction the radiation goes. The<br />

opacity expression is evaluated on adjacent subdomains, and is expected to be<br />

non-zero on exactly one.<br />

To avoid unnecessary visibility checks, the surfaces can be manually assigned to one<br />

or more cavities, each of which exchanges radiation only with other surfaces in the<br />

same cavity. For each domain group, specify to which cavities the group belongs.<br />

There are currently two view factor evaluation methods which can be selected using<br />

the method field. The 'area' method implies direct area integration using a simple<br />

quadrature rule of order order and no visibility checks. Different convex cavities<br />

can be held apart using the cavity field. The 'hemicube' method, and its<br />

generalizations to lower dimensions, uses techniques borrowed from computer<br />

graphics to handle surfaces obstructing each other. Essentially, images of resolution<br />

res-by-res are generated from each evaluation point in 3D.<br />

Due to the rather complex evaluation, it is usually beneficial to store the view factors<br />

between calls. This can, however, generate a lot of data, which can potentially be a<br />

limiting factor preventing a solution on a given system. Therefore, the cache field<br />

can be set to 'off', but this increases run times considerably.<br />

87

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