| Summary: | 碩士 === 國立成功大學 === 航空太空工程學系 === 86 === The objective of the thesis is to apply multigrid method
toaccelerate the convergence of the numerical solver for the P-3
approximation with thermal flow problems in
cylindricalcoordinates and discuss I13 moment. We first
study the pure radiation problem and combinedconduction and
radiation problem in cylinders. Subsequently,we investigate
combined thermal flow problems with radiationin a circular pipe.
In previous studies, researchers typically neglect I13 moment to
ensure stability of the P-3 approximation in cylindrical
coordinates. Our resultsindicate that the inclusion of I13
moment is veryimportant in optically thin cases. Finally, we
apply multigrid technique to solve thethermal flow field. We
find that FMG cycle is more efficientthan V cycle in most cases,
and Multigrid technique willaccelerate ten times or more for
thermal flow field.
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