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SPECTRAL: 作品数：1009被引量：1459H指数：13; 导出分析报告; 相关作者：柳力敏陈蕾华瑞才娜肖博更多>>; 相关机构：昆明理工大学中国医科大学附属第一医院中国科学院中国农业大学更多>>; 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高技术研究发展计划国家教育部博士点基金更多>>

Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems被引量：4: 《Communications in Computational Physics》2019年第6期87-113,共27页Ruihan Guo Yan Xu; Research of R.Guo is supported by NSFC grant No.11601490;Research of Y.Xu is supported by NSFC grant No.11722112,91630207.; This paper presents a high order time discretization method by combining the semi-implicit spectral deferred correction method with energy stable linear schemes to simulate a series of phase field problems.We start wi...; 关键词：Phase field problems local discontinuous Galerkin method linear scheme invariant energy quadratization approach semi-implicit spectral deferred correction method

Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations: 《Communications in Computational Physics》2016年第6期1-22,共22页Andreas Huppe Gary Cohen Sebastien Imperiale Manfred Kaltenbacher; The paper addresses the construction of a non spuriousmixed spectral finiteelement(FE)method to problems in the field of computational aeroacoustics.Basedon a computational scheme for the conservation equations of lin...; 关键词：Spectral finite elements aeroacoustics perturbation equations

Spectral Aspects of the Skew-Shift Operator:A Numerical Perspective: 《Communications in Computational Physics》2014年第3期712-732,共21页Eric Bourgain-Chang; In this paper we perform a numerical study of the spectra,eigenstates,and Lyapunov exponents of the skew-shift counterpart to Harper’s equation.This study is motivated by various conjectures on the spectral theory of...; 关键词：Schrödinger operator skew-shift SPECTRUM localization

Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems: 《Communications in Computational Physics》2013年第5期1189-1208,共20页Feng Chen Jie Shen; partially supported by NSF grant DMS-0915066;AFOSR grant FA9550-11-1-0328.; We develop in this paper efficient and robust numerical methods for solving anisotropic Cahn-Hilliard systems.We construct energy stable schemes for the time discretization of the highly nonlinear anisotropic Cahn-Hil...; 关键词：Spectral-Galerkin PHASE-FIELD ANISOTROPIC CAHN-HILLIARD stabilization coupled elliptic equations

Galerkin-Laguerre Spectral Solution of Self-Similar Boundary Layer Problems被引量：1: 《Communications in Computational Physics》2012年第10期1329-1358,共30页F.Auteri L.Quartapelle; In this work the Laguerre basis for the biharmonic equation introduced by Jie Shen is employed in the spectral solution of self-similar problems of the boundary layer theory.An original Petrov-Galerkin formulation of ...; 关键词：Laguerre polynomials semi-infinite interval boundary layer theory Falkner-Skan equation Cooke equation Orr-Sommerfeld equation linear stability of parallel flows

A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II:Improving the Third Derivative Spatial Discretization Using the LDG2 Method: 《Communications in Computational Physics》2012年第8期767-788,共22页Ravi Kannan; In this paper,the second in a series,we improve the discretization of the higher spatial derivative terms in a spectral volume(SV)context.The motivation for the above comes from[J.Sci.Comput.,46(2),314–328],wherein t...; 关键词：Spectral volume LDG2 LDG higher spatial derivative terms KDV Fourier analysis

Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator: 《Communications in Computational Physics》2012年第6期247-260,共14页Ravi Kannan Zhijian Wang; The first author gratefully acknowledges and appreciates the discussions he had with Prof.Raghurama Rao and Dr.Jaisankar,Indian Institute of Science,Bangalore,India.; The concept of diffusion regulation(DR)was originally proposed by Jaisankar for traditional second order finite volume Euler solvers.This was used to decrease the inherent dissipation associated with using approximate...; 关键词：Diffusion regulation spectral volume HIGH-ORDER Rusanov flux Navier Stokes equations

A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations被引量：1: 《Communications in Computational Physics》2012年第6期315-336,共22页Lizhen Chen Jie Shen Chuanju Xu; The work of the second author is partially supported by NFS grant DMS-0610646;The research of the third author was partially supported by National NSF of China(Grant number 11071203).; An unstructured nodal spectral-elementmethod for theNavier-Stokes equations is developed in this paper.The method is based on a triangular and tetrahedral rational approximation and an easy-to-implement nodal basis wh...; 关键词：Navier-Stokes equations unstructured mesh triangular spectral element method

A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms:Formulation and Analysis for Third Derivative Spatial Terms Using the LDG Discretization Procedure: 《Communications in Computational Physics》2011年第10期1257-1279,共23页Ravi Kannan; In this paper,we develop a formulation for solving equations containing higher spatial derivative terms in a spectral volume(SV)context;more specifically the emphasis is on handling equations containing third derivati...; 关键词：Spectral volume LDG higher spatial derivative terms KDV Fourier analysis

On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method: 《Communications in Computational Physics》2011年第4期1071-1080,共10页Georg May; Financial support from the Deutsche Forschungsgemeinschaft(German Research Association)through grant GSC 111;the Air Force Office of Scientific Research,Air Force Materiel Command,USAF,under grant number FA8655-08-1-3060,is gratefully acknowledged。; In this short note we present a derivation of the Spectral Difference Scheme from a Discontinuous Galerkin(DG)discretization of a nonlinear conservation law.This allows interpretation of the Spectral Difference Scheme...; 关键词：Spectral difference method discontinuous Galerkin method hyperbolic conservation laws quadrature-free schemes nodal schemes

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