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SUMMARY:Mitigating the ray effect in radiative transport equation simulati
 ons
DTSTART:20250527T091500Z
DTEND:20250527T101500Z
DTSTAMP:20260316T114200Z
UID:indico-event-12286@indico.math.cnrs.fr
DESCRIPTION:Speakers: Min Tang\n\nThe Discrete Ordinates Method (DOM) is t
 he most widely usedvelocity discretization method for simulating the radia
 tive transportequation. However\, the ray effect is a long-standing drawba
 ck of DOM. Inbenchmark tests that exhibit the ray effect\, we observe low 
 regularity inthe velocity variable of the solution. To address this issue\
 , we introducerandomness into the velocity discretization and propose two 
 methods: theRandom Ordinate Method and Random Source Iteration\, to mitiga
 te the rayeffect. Compared to other strategies proposed in the literature 
 formitigating the ray effect\, these two methods offer several advantages:
 1 )the computational cost is comparable to that of DOM\; 2) they are simpl
 e andrequire minimal changes to existing codes\; 3) they are easily parall
 elizableand independent of the problem setup. Numerical tests demonstrate 
 thereduction in computational cost compared to classical methods\, as well
  astheir effectiveness in mitigating the ray effect.\n\nhttps://indico.mat
 h.cnrs.fr/event/12286/
LOCATION:Amphi Schwartz (IMT)
URL:https://indico.math.cnrs.fr/event/12286/
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