Spatial adaptivity applied to the variational nodal Pn equations

Hui Zhang, E. E. Lewis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


A spatial adaptive grid method is presented for the solution of two-dimensional neutron transport problems employing the spherical harmonics method within the framework of the variational nodal method. The work represents the generalization of an approach previously applied to the neutron diffusion equation. After reviewing pertinent aspects of the derivation of the variational nodal response matrices, an a posteriori estimator of the local error in the scalar flux is developed. An iterative adaptive procedure is then presented, and application is made to two-dimensional problems. Results are presented for a P5 solution of the well-known Iron-Water Benchmark Problem.

Original languageEnglish (US)
Pages (from-to)57-63
Number of pages7
JournalNuclear Science and Engineering
Issue number1
StatePublished - Sep 2002

ASJC Scopus subject areas

  • Nuclear Energy and Engineering


Dive into the research topics of 'Spatial adaptivity applied to the variational nodal Pn equations'. Together they form a unique fingerprint.

Cite this