11 citations · 19 across the 5 of their papers we have counts for
5 papers
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…
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…
Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows
Yu-Yu Liu, Jack Xin, Yifeng Yu
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-Jaco…
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…
Asymptotics for turbulent flame speeds of the viscous G-equation enhanced by cellular and shear flows
Yu-Yu Liu, Jack Xin, Yifeng Yu
G-equations are well-known front propagation models in turbulent combustion and describe the front motion law in the form of local normal velocity equal to a constant (laminar spee…