TY - JOUR
T1 - COMPARISON OF CONSTRAINED FINITE ELEMENTS AND RESPONSE MATRICES AS ONE-DIMENSIONAL TRANSPORT APPROXIMATIONS.
AU - Briggs, L. L.
AU - Lewis, E. E.
PY - 1977
Y1 - 1977
N2 - A new coarse-mesh technique, the constrained finite element method, is formulated from the variational form of the even-parity transport equation: Linear finite elements in space are combined with a P//1 constraint on the angular trial functions at selected nodes to obtain a coarse-mesh three-point lattice scheme for the scalar flux. Beginning with comparable same variational form of the transport equation, response matrix equations are derived that differ from the constrained finite element method only in the angular approximation made at the coarse-mesh nodes. The two techniques are compared to each other, to S//8 reference solutions, and to diffusion calculations for a number of one-group slab geometry problems involving both homogeneous media and lattice cells, they are found to be of comparable accuracy and efficiency. The generalization of the constrained finite element method is discussed.
AB - A new coarse-mesh technique, the constrained finite element method, is formulated from the variational form of the even-parity transport equation: Linear finite elements in space are combined with a P//1 constraint on the angular trial functions at selected nodes to obtain a coarse-mesh three-point lattice scheme for the scalar flux. Beginning with comparable same variational form of the transport equation, response matrix equations are derived that differ from the constrained finite element method only in the angular approximation made at the coarse-mesh nodes. The two techniques are compared to each other, to S//8 reference solutions, and to diffusion calculations for a number of one-group slab geometry problems involving both homogeneous media and lattice cells, they are found to be of comparable accuracy and efficiency. The generalization of the constrained finite element method is discussed.
UR - http://www.scopus.com/inward/record.url?scp=0017516840&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0017516840&partnerID=8YFLogxK
U2 - 10.13182/NSE77-A27035
DO - 10.13182/NSE77-A27035
M3 - Article
AN - SCOPUS:0017516840
VL - 63
SP - 225
EP - 235
JO - Nuclear Science and Engineering
JF - Nuclear Science and Engineering
SN - 0029-5639
IS - 3
ER -