Chapter 13 Collocation Solution of the Transport Equation Using a Locally Enhanced Alternating Direction Formulation

Michael Anthony Celia, G. F. Pinder

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

This chapter presents a modification of the alternating-direction collocation (ADC) procedure designed to achieve enhanced accuracy in the neighborhood of a sharp front. The method achieves high-order accuracy while benefitting from the computational efficiencies inherent in the alternating direction procedure. The chapter reviews the ADC method and builds the enhancement procedure. The enhanced ADC method is applied to an example problem. The chapter considers only rectangular subspaces and describes the enhancement-element procedure.

Original languageEnglish (US)
Pages (from-to)303-320
Number of pages18
JournalNorth-Holland Mathematics Studies
Volume94
Issue numberC
DOIs
StatePublished - Jan 1 1984

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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