TY - GEN
T1 - Goal-oriented mesh adaptivity for multi-dimension SPN equations
AU - Turcksin, Bruno
AU - Ragusa, Jean C.
PY - 2009
Y1 - 2009
N2 - We present a mesh adaptivity strategy that incorporates, via adjoint calculations, the relative importance of computational regions towards a quantity of interest, a technique known as goal-oriented mesh adaptivity. In this approach, the mesh refinement is still dictated by the error in the forward solution, but it is also weighted by the importance of the solution towards a given goal. Quantities of interest may include reaction rates in a sub domain, pointwise flux values, etc. We have implemented goal-oriented mesh adaptivity for the multi-D (2- and 3-D) SPN equations and propose some numerical results demonstrating the superiority of the goal-oriented approach against the standard adaptivity technique.
AB - We present a mesh adaptivity strategy that incorporates, via adjoint calculations, the relative importance of computational regions towards a quantity of interest, a technique known as goal-oriented mesh adaptivity. In this approach, the mesh refinement is still dictated by the error in the forward solution, but it is also weighted by the importance of the solution towards a given goal. Quantities of interest may include reaction rates in a sub domain, pointwise flux values, etc. We have implemented goal-oriented mesh adaptivity for the multi-D (2- and 3-D) SPN equations and propose some numerical results demonstrating the superiority of the goal-oriented approach against the standard adaptivity technique.
KW - Finite-element
KW - Goal-oriented calculations
KW - Mesh adaptivity
KW - SP method.mesh adaptation
UR - http://www.scopus.com/inward/record.url?scp=74949129444&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:74949129444
SN - 9781615673490
T3 - American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
SP - 3115
EP - 3123
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 -