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Diffusive Lorenz dynamics: Coherent structures and spatiotemporal chaos

Communications in Nonlinear Science and Numerical Simulation 2000年第2期5卷 49-57页

作者： Yuehong QIAN Hudong CHEN and Da-Hsuan FENG (exa Corporation, 450 Bedford Street, Lexington, MA 02420, USA email: qian@***, hudong@exa. Com Department of Physics, Drexel University, Philadelphia, PA 19104, USA email: da.hsuan.feng@***) exa Corporation 450 Bedford Street Lexington MA 02420 USA Department of Physics Drexel University Philadelphia PA 19104 USA

In this paper, we are interested in collective behaviors of many interacting Lorenz strange attractors. With an intermediate chion coupling between the attractors,a new remarkable synchronization of well orgtried structuxes merges as a result of two competing mechanisms: temporal chaos and spatial chsive stabilization. A window of the coupling parazneter for coherent structures is found numerically. Different from all exist ing scenarios of routes to chaos (period doubling, intermittency and strange attractors), an algorithmetic increase of wavenumbers before an abrupt change to chaos (compared to the periodic doubling geometrical) is unexpectedly discovered. Metastable states are also ob served in simulations.

关键词： synchronizied chaos coherent structures intermittency reaction-diffusion

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A new fourth order finite difference scheme for the heat equation

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Communications in Nonlinear Science and Numerical Simulation 2000年第4期5卷 151-157页

作者： Yuehong QIAN, Hudong CHEN, Raoyang ZHANG and Shiyi CHEN (exa Corporation, 450 Bedford Street, Lexington, MA 02420, USA e-mail.. qean＠*** Deportment of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21280, USA) (Received December 1, exa Corporation 450 Bedford Street Lexington MA 02420 United States Department of Mechanical Engineering Johns Hopkins University Baltimore MD 21280 United States

We propose and investigate a new simple fourth order finite difference scheme for the heat equation. Numerical simulations do confirm theoretical analysis of accuracy and stability condition.

关键词： heat equation CFL condition stability high-order scheme

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New direction of computational fluid dynamics and its applications in industry

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Science China(Technological Sciences) 2007年第5期50卷 521-533页

作者： CHEN YaoSong1, SHAN XiaoWen2 & CHEN HuDong2 1 Department of Mechanics, Peking University, Beijing 100871, China 2 exa Corporation, Burlington, MA 01803 USA exa Corporation BurlingtonMA 01803 USA Department of Mechanics Peking UniversityBeijing 100871China

For the past ten years there has been much progress in computational fluid dy- namics (CFD), among which the formation and development of the lattice Boltz- mann method (LBM) are an important new direction. We give a review on the main aspect and the latest development of this method in this article, and at the same time we also discuss the related development of scientific software and its impact on the real-world applications in industry.

关键词： lattice method, Boltzmann equation, CFD

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