Unconditionally stable explicit algorithms for nonlinear fluid dynamics problems

John L. Richardson, Robert C. Ferrell, Lyle N. Long

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


This paper describes novel explicit algorithms that are unconditionally stable. The algorithms are applied to some 1D convection and diffusion problems, including nonlinear problems. Algorithms such as these are of particular interest for massively parallel computers, where one is trying to minimize communications while at the same time maintain the stability properties normally associated with implicit schemes. It is shown how these stable algorithms can be applied in higher spatial dimensions and how they can be extended to problems defined on unstructured meshes.

Original languageEnglish (US)
Pages (from-to)69-74
Number of pages6
JournalJournal of Computational Physics
Issue number1
StatePublished - Jan 1993

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


Dive into the research topics of 'Unconditionally stable explicit algorithms for nonlinear fluid dynamics problems'. Together they form a unique fingerprint.

Cite this