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math.NA2021
Synchronized Front Propagation and Delayed Flame Quenching in Strain G-equation and Time-Periodic Cellular Flows
Yu-Yu Liu, Jack Xin
G-equations are level-set type Hamilton-Jacobi partial differential equations modeling propagation of flame front along a flow velocity and a laminar velocity. In consideration of…
math.NA2020
A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits
Chou Kao, Yu-Yu Liu, Jack Xin
The Arnold-Beltrami-Childress (ABC) flow and the Kolmogorov flow are three dimensional periodic divergence free velocity fields that exhibit chaotic streamlines. We are interested…
math.NA2012★ 8 cited
A Numerical Study of Turbulent Flame Speeds of Curvature and Strain G-equations in Cellular Flows
Yu-Yu Liu, Jack Xin, Yifeng Yu
We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs…