TY - GEN
T1 - A quasidiffusion method for unstructured quadrilateral meshes in 2d XY geometry
AU - Wieselquist, William A.
AU - Anistratov, Dmitriy Y.
PY - 2009
Y1 - 2009
N2 - In this paper we present the quasidiffusion (QD) method for solving the transport equation in Cartesian XY geometry on multi-level spatial meshes of arbitrary quadrilaterals. For the low-order quasidiffusion (LOQD) equations, we propose a second-order finite difference discretization. For the transport equation, we use a conservative short characteristics method with linear approximation of the scattering source term and parabolic representation of the angular flux on incoming faces. We analyze numerical convergence of the LOQD and transport discretizations individually using tests with manufactured solutions. We then present numerical test results for the QD discretization.
AB - In this paper we present the quasidiffusion (QD) method for solving the transport equation in Cartesian XY geometry on multi-level spatial meshes of arbitrary quadrilaterals. For the low-order quasidiffusion (LOQD) equations, we propose a second-order finite difference discretization. For the transport equation, we use a conservative short characteristics method with linear approximation of the scattering source term and parabolic representation of the angular flux on incoming faces. We analyze numerical convergence of the LOQD and transport discretizations individually using tests with manufactured solutions. We then present numerical test results for the QD discretization.
KW - Discretization of PDEs
KW - Particle transport equation
KW - Quadrilateral meshes
KW - Radiative transfer
UR - http://www.scopus.com/inward/record.url?scp=74949112082&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:74949112082
SN - 9781615673490
T3 - American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
SP - 3436
EP - 3449
BT - American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
T2 - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Y2 - 3 May 2009 through 7 May 2009
ER -