Direct and Fast Ray Tracing of NURBS Surfaces

Practical Ray Tracing of Trimmed NURBS Surfaces

Journal of Graphics Tools ◽

10.1080/10867651.2000.10487519 ◽

2000 ◽

Vol 5 (1) ◽

pp. 27-52 ◽

Cited By ~ 38

Author(s):

William Martin ◽

Elaine Cohen ◽

Russell Fish ◽

Peter Shirley

Keyword(s):

Ray Tracing ◽

Nurbs Surfaces

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Radiation heat transfer model using Monte Carlo ray tracing method on hierarchical ortho-Cartesian meshes and non-uniform rational basis spline surfaces for description of boundaries

Archives of Thermodynamics ◽

10.2478/aoter-2014-0014 ◽

2014 ◽

Vol 35 (2) ◽

pp. 65-92 ◽

Cited By ~ 1

Author(s):

Paweł Kuczyński ◽

Ryszard Białecki

Keyword(s):

Heat Transfer ◽

Ray Tracing ◽

Radiation Heat Transfer ◽

Transfer Model ◽

Rational Basis ◽

Radiation Heat ◽

Cartesian Meshes ◽

Spline Surfaces ◽

Nurbs Surfaces ◽

Transfer Problems

Abstract The paper deals with a solution of radiation heat transfer problems in enclosures filled with nonparticipating medium using ray tracing on hierarchical ortho-Cartesian meshes. The idea behind the approach is that radiative heat transfer problems can be solved on much coarser grids than their counterparts from computational fluid dynamics (CFD). The resulting code is designed as an add-on to OpenFOAM, an open-source CFD program. Ortho-Cartesian mesh involving boundary elements is created based upon CFD mesh. Parametric non-uniform rational basis spline (NURBS) surfaces are used to define boundaries of the enclosure, allowing for dealing with domains of complex shapes. Algorithm for determining random, uniformly distributed locations of rays leaving NURBS surfaces is described. The paper presents results of test cases assuming gray diffusive walls. In the current version of the model the radiation is not absorbed within gases. However, the ultimate aim of the work is to upgrade the functionality of the model, to problems in absorbing, emitting and scattering medium projecting iteratively the results of radiative analysis on CFD mesh and CFD solution on radiative mesh.

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