Author/Authors :
Jevremovic، نويسنده , , T.; Vujic، نويسنده , , J.; Tsuda، نويسنده , , K، نويسنده ,
Abstract :
The method of characteristics (MOC) solves the transport equation along straight lines,
called characteristics, of the system. Along these lines the dierential operator of the Boltz-
mann equation reduces to a total derivative. The MOC methodology does not impose any
limitation on geometry and allows for an accurate treatment of highly heterogeneous systems.
However, the actual treatment of arbitrary domains in terms of their ¯exible description and
ecient ray tracing does impose diculties which limited broader application of MOC in
reactor analysis. Most of the existing MOC codes describe the geometry by lines and arcs with
extensive input data, have diculty in sub-meshing, require a pre-de®ned condition of closed
rays at starting points limiting the boundary shape, and need a large number of polar angles
which prolong the execution time. A new MOC code, ANEMONA, has been developed to
remove all these geometrical limitations. This uni®ed and easy-to-use method is based on an
R-function solid modeler approach that can account for all heterogeneities with full ¯exibility
in domain description, ray map generation, ray tracing and boundary types. The ANEMO-
NAʹs methodology has many advantages: an easy description of arbitrary domains and
meshing; allowed mismatch of the re¯ected rays; calculation of the re¯ected angular ¯ux as
the boundary mesh average; use of only two adequately chosen polar angles; and the reduc-
tion in computational time by energy-dependent azimuthal ray map. ANEMONA has been
tested on a number of benchmark problems with excellent results.