Premixed-flame shapes and polynomials

PHYSICA D-NONLINEAR PHENOMENA

卷:292

Article

Denet, Bruno¹  Joulin, Guy² 

[1] Aix Marseille Univ, CNRS, IRPHE, Cent Marseill,UMR 7342,Technopole Chateau Gombert, F-13384 Marseille 13, France

[2] Univ Poitiers, CNRS, ENSMA, Inst Prime P,UPR 3346, F-86961 Poitiers, France

关键词: Flame shapes;    Nonlinear nonlocal equation;    Poles;    Polynomials;    Recurrence;   

DOI  :  10.1016/j.physd.2014.10.007

来源: Elsevier

【 摘 要 】

The nonlinear nonlocal Michelson-Sivashinsky equation for isolated crests of unstable flames is studied, using pole-decompositions as starting point. Polynomials encoding the numerically computed 2N flame-slope poles, and auxiliary ones, are found to closely follow a Meixner-Pollaczek recurrence; accurate steady crest shapes ensue for N >= 3. Squeezed crests ruled by a discretized Burgers equation involve the same polynomials. Such explicit approximate shapes still lack for finite-N pole-decomposed periodic flames, despite another empirical recurrence. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free