| Autor: |
Joulin, Guy, Denet, Bruno |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
Physics Letters A 376 (2012), pp. 1797-1802 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.physleta.2012.03.062 |
| Popis: |
The Zhdanov-Trubnikov equation describing wrinkled premixed flames is studied, using pole-decompositions as starting points. Its one-parameter (-1< c <1) nonlinearity generalizes the Michelson-Sivashinsky equation (c=0) to a stronger Darrieus-Landau instability. The shapes of steady flame crests (or periodic cells) are deduced from Laguerre (or Jacobi) polynomials when c = -1, which numerical resolutions confirm. Large wrinkles are analysed via a pole density: adapting results of Dunkl relates their shapes to the generating function of Meixner-Pollaczek polynomials, which numerical results confirm for 10 (over-stabilization) such analytical solutions can yield accurate flame shapes for 0< c <0.6. Open problems are invoked. |
| Databáze: |
arXiv |
| Externí odkaz: |
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