### Abstract

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 language | English |
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Pages (from-to) | 198-205 |

Number of pages | 8 |

Journal | Mathematical Modelling of Natural Phenomena |

Volume | 8 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2013 Jun 28 |

### All Science Journal Classification (ASJC) codes

- Modelling and Simulation
- Applied Mathematics

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## Cite this

*Mathematical Modelling of Natural Phenomena*,

*8*(3), 198-205. https://doi.org/10.1051/mmnp/20138312