Turbulent flame speeds of G-equation models in unsteady cellular flows

Y. Y. Liu, J. Xin, Y. Yu

Research output: Contribution to journalArticlepeer-review


We perform a computationl study of front speeds of G-equation models in time dependent cellular flows. The G-equations arise in premixed turbulent combustion, and are Hamilton-Jacobi type level set partial differential equations (PDEs). The curvature-strain G-equations are also non-convex with degenerate diffusion. The computation is based on monotone finite difference discretization and weighted essentially nonoscillatory (WENO) methods. We found that the large time front speeds lock into the frequency of time periodic cellular flows in curvature-strain G-equations similar to what occurs in the basic inviscid G-equation. However, such frequency locking phenomenon disappears in viscous G-equation, and in the inviscid G-equation if time periodic oscillation of the cellular flow is replaced by time stochastic oscillation.

Original languageEnglish
Pages (from-to)198-205
Number of pages8
JournalMathematical Modelling of Natural Phenomena
Issue number3
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics


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