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SPECTRAL_METHOD: 作品数：153被引量：226H指数：8; 导出分析报告; 相关作者：郭本瑜许卓韩立国周岩张盼更多>>; 相关机构：华东师范大学吉林大学上海师范大学上海大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金上海市教育委员会重点学科基金更多>>

On the Instabilities and Transitions of the Western Boundary Current: 《Communications in Computational Physics》2019年第6期35-56,共22页Daozhi Han Marco Hernandez Quan Wang; supported by a seed fund of the Material Research Center at Missouri University of Science and Technology;Marco Hernandez was supported in part by the National Science Foundation(NSF)grant DMS-1515024,and by the Office of Naval Research(ONR)grant N00014-15-1-2662;Quan Wang was supported by the NSFC(No.11771306).; We study the stability and dynamic transitions of the western boundary currents in a rectangular closed basin.By reducing the infinite dynamical system to a finite dimensional one via center manifold reduction,we deri...; 关键词：Western boundary current dynamic transition INSTABILITY Hopf bifurcation spectral method

Efficient Mapping of High Order Basis Sets for Unbounded Domains: 《Communications in Computational Physics》2018年第6期69-85,共17页Faisal Mumtaz Fahhad H.Alharbi; The author would like to thank Qatar National Research Fund as the work is partially supported by NPRP 7-317-1-055.; Many physical problems involve unbounded domains where the physical quantities vanish at infinities.Numerically,this has been handled using different techniques such as domain truncation,approximations using infinitel...; 关键词：Mapped basis sets unbounded domain spectral method

A Spectral Iterative Method for the Computation of Effective Properties of Elastically Inhomogeneous Polycrystals: 《Communications in Computational Physics》2012年第3期726-738,共13页Saswata Bhattacharyya Tae Wook Heo Kunok Chang Long-Qing Chen; The authors would like to acknowledge the financial supports from the National Science Foundation under the grant number DMR-0710483.; We report an efficient phase field formalism to compute the stress distribution in polycrystalline materials with arbitrary elastic inhomogeneity and anisotropy.The dependence of elastic stiffness tensor on grain orie...; 关键词：ELASTICITY spectral method iterative method

A Memory-Saving Algorithm for Spectral Method of Three-Dimensional Homogeneous Isotropic Turbulence: 《Communications in Computational Physics》2011年第5期1152-1164,共13页Qing-Dong Cai Shiyi Chen; support from National Natural Science Funds for Distinguished Young Scholar group under Grant No.10921202;National Climb Plan under Grant No.2009CB724100.; Homogeneous isotropic turbulence has been playing a key role in the research of turbulence theory.And the pseudo-spectral method is the most popular numerical method to simulate this type of flow fields in a periodic ...; 关键词：Spectral method homogeneous isotropic turbulence DNS FFT

Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals:Effects of Kinematic Transports被引量：3: 《Communications in Computational Physics》2011年第4期974-993,共20页Shupeng Zhang Chun Liu Hui Zhang; supported by NSF of China 10871028.Chun Liu is partially supported by NSF Grants;supported by NSF of China 10871028 and state key basic research project of China 2005CB321704.; In this paper,we investigate the effects of kinematic transports on the nematic liquid crystal system numerically and theoretically.The model we used is a"1+2"elastic continuum model simplified from the Ericksen-Lesli...; 关键词：Nematic liquid crystals kinematic transports Legendre-Galerkin spectral method TUMBLING flow-aligning

A Pressure-Correction Scheme for Rotational Navier-Stokes Equations and Its Application to Rotating Turbulent Flows: 《Communications in Computational Physics》2011年第3期740-755,共16页Dinesh A.Shetty Jie Shen Abhilash J.Chandy Steven H.Frankel; This work is partially supported by NSF grants CBET-0651788 and DMS-0915066.; The rotational incremental pressure-correction(RIPC)scheme,described in Timmermans et al.[Int.J.Numer.Methods.Fluids.,22(1996)]and Shen et al.[Math.Comput.,73(2003)]for non-rotational Navier-Stokes equations,is extend...; 关键词：Rotating turbulent flow pressure-correction Navier-Stokes equations Fourier-spectral method

Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation被引量：8: 《Communications in Computational Physics》2010年第10期1016-1051,共36页Xianjuan Li Chuanju Xu; In this paper,we investigate initial boundary value problems of the spacetime fractional diffusion equation and its numerical solutions.Two definitions,i.e.,Riemann-Liouville definition and Caputo one,of the fractiona...; 关键词：Space-time fractional diffusion equation existence and uniqueness spectral methods error estimates

Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times: 《Communications in Computational Physics》2009年第10期1022-1062,共41页F.Hamidouche Y.Mammeri S.M.Mefire; This work was partly funded by the ITRANSFLU project of the Regional Council of Picardie in France.; From a spectral method combined with a predictor-corrector scheme,we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations.In a systematic way,the di...; 关键词：3D-KP equations spectral method predictor-corrector method DISPERSION BLOW-UP SOLITON transverse instability

Galerkin Spectral Method Applied to the Chemical Master Equation: 《Communications in Computational Physics》2009年第5期871-896,共26页Stefan Engblom; The author is also indebted to Hermann Matthies for a long and valuable discussion during the IHP-EU Workshop“Breaking Complexity”in Bad Honnef,Germany.References[8,9,47,48]was kindly provided to the author by Peter Deuflhard and Michael Wulkow;Financial sup-port has been obtained from the Swedish National Graduate School in Mathematics and Computing.; Stochastic well-stirred chemically reacting systems can be accurately modeled by a continuous-time Markov-chain.The corresponding master equation evolves the system’s probability density function in time but can only...; 关键词：Master equation spectral-Galerkin method high dimensional problem moving basis chemical reactions

A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity: 《Communications in Computational Physics》2009年第2期582-599,共18页W.M.Feng P.Yu S.Y.Hu Z.K.Liu Q.Du L.Q.Chen; This work has been supported by the National Science Foundation Information Technol-ogy Research Project(NSF-ITR)through Grant DMR-0205232;The work of Qiang Du is also supported by NSF-DMS 0712744.; In recent years,Fourier spectral methods have emerged as competitive numerical methods for large-scale phase field simulations of microstructures in computational materials sciences.To further improve their effectiven...; 关键词：Phase field diffuse interface moving mesh adaptive mesh Fourier-spectral method adaptive spectral method Cahn-Hilliard equation ELASTICITY

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