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Author Shen, Lihua ♦ Xin, Jack ♦ Zhou, Aihui
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Two-scale Finite Element Method ♦ Fine Mesh ♦ Standard Finite Element Method ♦ Boundary Value Problem ♦ Asymptotic Theory ♦ Various Cross Section ♦ Random Shear Flow ♦ Kolmogorov Petrovsky Piskunov Front Speed ♦ Two-scale Method Save ♦ Elliptical Cross Section ♦ Stochastic Eigenvalue Problem ♦ Aspect Ratio ♦ Random Shear ♦ Average Front Speed ♦ Domain Cross Section ♦ Accurate Enough Solution ♦ Elliptic Eigenvalue Problem ♦ Random Front Speed Computation ♦ Two-scale Method Iterates Solution ♦ Eigenvalue Computation ♦ Variational Principle
Abstract Abstract. We study the Kolmogorov–Petrovsky–Piskunov minimal front speeds in spatially random shear flows in cylinders of various cross sections based on the variational principle and an associated elliptic eigenvalue problem. We compare a standard finite element method and a two-scale finite element method in random front speed computations. The two-scale method iterates solutions between coarse and fine meshes and reduces the cost of the eigenvalue computation to that of a boundary value problem while maintaining the accuracy. The two-scale method saves computing time and provides accurate enough solutions. In the case of square and elliptical cross sections, our simulation shows that larger aspect ratios of domain cross sections increase the average front speeds in agreement with an asymptotic theory. Key words. Kolmogorov–Petrovsky–Piskunov front speeds, random shear flows in cylinders, stochastic eigenvalue problems, two-scale finite element method
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article