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Efficient chebyshev spectral method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique

Numerical Mathematics(Theory,methods and Applications) 2011年第2期4卷 197-215页

作者： Fei Liu Xingde Ye Xinghua Wang Department of Mathematics Zhejiang UniversityHangzhouZhejiang 310027China

We present a systematic and efficient chebyshev spectral method using quasiinverse technique to directly solve the second order equation with the homogeneous Robin boundary conditions and the fourth order equation with the first and second boundary *** key to the efficiency of the method is to multiply quasiinverse matrix on both sides of discrete systems,which leads to band structure *** can obtain high order accuracy with less computational *** multi-dimensional and more complicated linear elliptic PDEs,the advantage of this methodology is *** results indicate that the spectral accuracy is achieved and the proposed method is very efficient for 2-D high order problems.

关键词： chebyshev spectral method quasi-inverse Helmholtz equation Robin boundary conditions general biharmonic equation

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Multi-domain spectral Immersed Interface method for Solving Elliptic Equation with a Global Description of Discontinuous Functions

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Chinese Journal of Aeronautics 2012年第3期25卷 297-310页

作者： JIANG Yongsong LIANG An SUN Xiaofeng JING Xiaodong School of Jet Propulsion Beihang University Beijing 100191 China Department of Compressor Design Shenyang Aeroengine Research Institute Shenyang 110015 China AVIC Commercial Aircrafl Engine Co. Ltd. Shanghai 200241 China

This paper presents the extension of the global description approach of a discontinuous function, which is proposed in the previous paper, to a spectral domain decomposition method. This multi-domain spectral immersed interlace method（IIM） divides the whole computation domain into the smooth and discontinuous parts. Fewer points on the smooth domains are used via taking advantage of the high accuracy property of the spectral method, but more points on the discontinuous domains are employed to enhance the resolution of the calculation. Two that the domain decomposition technique can placed around the discontinuity. The present reached, in spite of the enlarged computational discontinuous problems are tested to verify the present method. The results show reduce the error of the spectral IIM, especially when more collocation points are method is t：avorable for the reason that the same level of the accuracy can be domain.

关键词： computational aerodynamics immersed interface method immersed boundary method chebyshev spectral method domain decomposition method

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Modified Adomian decomposition method for solving the problem of boundary layer convective heat transfer

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Propulsion and Power Research 2018年第3期7卷 231-237页

作者： Yassir Daoud Ahmed A.Khidir Faculty of Mathematical Sciences and Statistics Alneelain UniversityAlgamhoria StreetP.O.Box 12702KhartoumSudan

In this paper,we apply a new modification of the Adomian decomposition method for solving the problem of boundary layer convective heat transfer with viscous dissipation and low pressure gradient over a at *** technique is based on the standard Adomian decomposition method and the chebyshev pseudospectral *** are made between the pro-posed technique,the standard Adomian decomposition method,and the numerical solutions to demonstrate the applicability,validity,and high accuracy of the present *** results demonstrate that the new modification is more efficient and converges faster than the Adomian decomposition method.

关键词： Adomian decomposition method chebyshev spectral method Boundary layer convective

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HYDRODYNAMICS STABILITY OF BICKLEY JET WITH PARTICLE LADEN FLOW

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Journal of Hydrodynamics 2009年第5期21卷 608-613页

作者： XIE Ming-liang ZHOU Huai-chun ZHANG Yin-di State Key Laboratory of Coal Combustion Huazhong University of Science and Technology Wuhan 430074 China

The stability of Bickley jet with particle laden flow is investigated numerically. The stability characteristics are calculated for various Stokes numbers and particle concentrations. The results confirm the author＇s early calculations, which also shows that the numerical program is reliable. It is further shown that there is a critical value for the effect of Stokes number, which is about 2. The most damped mode occurs when Stokes number is of order of 10 for different particle concentrations and depends weakly on the wave number. The difference in the eigenfunctions and its derivatives between the particle-laden flow and the clean gas flow is insignificant for fine particles, while the difference for coarse particles is significant.

关键词： hydrodynamic stability Bickley jet particle laden flow two-way coupled chebyshev spectral method

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Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity

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Applied Mathematics and Mechanics(English Edition) 2012年第5期33卷 663-678页

作者： M.A.A.MAHMOUD S.E.WAHEED Department of Mathematics Faculty of ScienceBenha UniversityBenha 13518Egypt

This work deals with the influence of thermal radiation on the problem of the mixed convection thin film flow and heat transfer of a micropolar fluid past a moving infinite vertical porous flat plate with a slip velocity. The fluid viscosity and the thermal conductivity are assumed to be the functions of temperature. The equations governing the flow are solved numerically by the chebyshev spectral method for some representative value of various parameters. In comparison with the previously published work, the excellent agreement is shown. The effects of various parameters on the velocity, the microrotation velocity, and the temperature profiles, as well as the skin-friction coefficient and the Nusselt number, are plotted and discussed.

关键词： micropolar fluid thin film slip velocity variable fluid properties thermalradiation chebyshev spectral method

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Numerical Analysis of the Mixed Flow of a Non-Newtonian Fluid over a Stretching Sheet with Thermal Radiation

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Fluid Dynamics & Materials Processing 2023年第2期19卷 407-419页

作者： Nourhan I.Ghoneim Ahmed M.Megahed Maritime Department-Marine Engineering International Maritime College Oman(IMCO)Suhar322Sultanate of Oman Department of Mathematics Faculty of ScienceBenha UniversityBenha13518Egypt

A mathematical model is elaborated for the laminar flow of an Eyring-Powell fluid over a stretching *** considered non-Newtonian fluid has Prandtl number larger than *** effects of variable fluid properties and heat generation/absorption are also *** balance equations for fluid flow are reduced to a set of ordinary differential equations through a similarity transformation and solved numerically using a chebyshev spectral *** effect of various parameters on the rate of heat transfer in the thermal boundary regime is investigated,i.e.,thermal conductivity,the heat generation/absorption ratio and the mixed convection *** agreement appears to exist between theoretical predictions and the existing published results.

关键词： Porous medium Eyring-Powell fluid chebyshev spectral method mixed convection thermal stratification

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