Resolution estimates for simple one-dimensional flames. Issue 5 (3rd September 2017)

• Record Type: Journal Article
• Authors: Prosser, Robert
• Is Part Of: Combustion theory and modelling. Volume 21:Issue 5(2017)
• Page Start: 954
• Page End: 975
• Publication Date: 2017-09-03
• Subjects: combustion -- direct numerical simulation -- asymptotics -- finite differences -- numerical methods; Combustion -- Mathematical models -- Periodicals; 541.361
• DOI: 10.1080/13647830.2017.1324641
• Languages: English
• ISSNs: 1364-7830

Abstract

Abstract : The accurate resolution of flame structure is critically important to the direct numerical simulation of reacting flows. While grid-resolution estimates are readily available for cold flows, premixed flames appear to have received relatively little attention. In this paper, a premixed flame characterised by single-step chemistry at moderate-to-high Zel'dovitch numbers (β) is analysed, and its structure is used to provide estimates for sufficient grid resolution. It is found that the critical region of the flame exhibits a weak inverse Zel'dovitch number dependence, and that heuristic methods of resolution estimation based on flame thickness grow relatively less meaningful as β → ∞. Resolution estimates for second- and fourth-order finite-difference schemes are provided.