TY - GEN
T1 - A hybrid Monte Carlo-diffusion method for radiation transport on adaptive mesh refinement-type meshes
AU - Densmore, Jeffery D.
AU - Evans, Thomas M.
AU - Buksas, Michael W.
PY - 2007
Y1 - 2007
N2 - Discrete Diffusion Monte Carlo (DDMC) is a technique for increasing the efficiency of Monte Carlo simulations in diffusive media. We present a new DDMC method for linear, steady-state, radiation transport on Adaptive Mesh Refinement (AMR) meshes in two-dimensional Cartesian geometry. We specifically examine the cases of (i) a regular mesh structure without refinement, (ii) a refined mesh structure where neighboring cells differ in refinement, and (iii) a boundary mesh structure at the interface between a diffusive region (where DDMC is used) and a non-diffusive region (where standard Monte Carlo is employed). With a test problem consisting of both diffusive and non-diffusive regions, we demonstrate that our new DDMC technique is more computationally efficient than standard Monte Carlo while still producing accurate solutions.
AB - Discrete Diffusion Monte Carlo (DDMC) is a technique for increasing the efficiency of Monte Carlo simulations in diffusive media. We present a new DDMC method for linear, steady-state, radiation transport on Adaptive Mesh Refinement (AMR) meshes in two-dimensional Cartesian geometry. We specifically examine the cases of (i) a regular mesh structure without refinement, (ii) a refined mesh structure where neighboring cells differ in refinement, and (iii) a boundary mesh structure at the interface between a diffusive region (where DDMC is used) and a non-diffusive region (where standard Monte Carlo is employed). With a test problem consisting of both diffusive and non-diffusive regions, we demonstrate that our new DDMC technique is more computationally efficient than standard Monte Carlo while still producing accurate solutions.
KW - Adaptive mesh refinement
KW - Hybrid Monte Carlo-diffusion
UR - http://www.scopus.com/inward/record.url?scp=36448966829&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:36448966829
SN - 0894480596
SN - 9780894480591
T3 - Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
BT - Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
T2 - Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
Y2 - 15 April 2007 through 19 April 2007
ER -