暂无分享,去创建一个
[1] O. Ruchayskiy,et al. Flame enhancement and quenching in fluid flows , 2002, physics/0212057.
[2] Alexander B. Neiman,et al. Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments , 2003 .
[3] J. Xin,et al. Front Quenching in the G-equation Model Induced by Straining of Cellular Flow , 2014 .
[4] Chi-Wang Shu. HIGH ORDER NUMERICAL METHODS FOR TIME DEPENDENT HAMILTON-JACOBI EQUATIONS , 2007 .
[5] J. Xin,et al. A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows , 2012, 1202.6152.
[6] Ronald Fedkiw,et al. Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.
[7] D. Bradley. How fast can we burn , 1992 .
[8] J. Xin,et al. Periodic homogenization of the inviscid G-equation for incompressible flows , 2010 .
[9] J. Xin,et al. Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows , 2012, 1210.1671.
[10] Panagiotis E. Souganidis,et al. Homogenization and Enhancement for the G—Equation , 2010, 1003.4160.
[11] Jack Xin,et al. A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit , 2014, 1406.2268.
[12] J. Xin,et al. Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton–Jacobi models , 2013 .
[13] Jack Xin,et al. An Introduction to Fronts in Random Media , 2009 .
[14] A. Crisanti,et al. Eddy diffusivities in scalar transport , 1995 .
[15] Camassa,et al. Chaotic advection in a Rayleigh-Bénard flow. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[16] P. Lions,et al. Two approximations of solutions of Hamilton-Jacobi equations , 1984 .
[17] Jack Xin,et al. Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. , 2020 .
[18] A. Vulpiani,et al. Front speed enhancement in cellular flows. , 2001, Chaos.
[19] P. Ronney. Some open issues in premixed turbulent combustion , 1995 .
[20] A. Majda,et al. SIMPLIFIED MODELS FOR TURBULENT DIFFUSION : THEORY, NUMERICAL MODELLING, AND PHYSICAL PHENOMENA , 1999 .
[21] Jack Xin,et al. Front Propagation in Heterogeneous Media , 2000, SIAM Rev..
[22] Danping Peng,et al. Weighted ENO Schemes for Hamilton-Jacobi Equations , 1999, SIAM J. Sci. Comput..
[23] Alessandro Torcini,et al. Thin front propagation in steady and unsteady cellular flows , 2002, nlin/0201015.