The art of analytical benchmarking

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The most primitive numerical method of solving the radiative transfer equation forms the basis of an algorithm to generate high quality numerical solutions. We apply convergence acceleration to the discrete ordinates balance equation derived from a diamond difference approximation. Wynn-epsilon and Romberg accelerations then rearrange low order solutions to produce a high order solution. Published semianalytical benchmarks from the C.E. Siewert portfolio establish the credibility of the new converged discrete ordinates method (CDOM).

Original languageEnglish (US)
Title of host publicationComputational Methods in Transport
Subtitle of host publicationVerification and Validation
Pages105-134
Number of pages30
DOIs
StatePublished - 2008

Publication series

NameLecture Notes in Computational Science and Engineering
Volume62 LNCSE
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Fingerprint Dive into the research topics of 'The art of analytical benchmarking'. Together they form a unique fingerprint.

  • Cite this

    Ganapol, B. D., & Furfaro, R. (2008). The art of analytical benchmarking. In Computational Methods in Transport: Verification and Validation (pp. 105-134). (Lecture Notes in Computational Science and Engineering; Vol. 62 LNCSE). https://doi.org/10.1007/978-3-540-77362-7_4