Finite Element Solution in Fluid Mechanics Using Exponential Function Based Interpolation

Shao Wen Fang; Xing Fei Yuan; Ruo Jun Qian; Shu Hui Jiang

doi:10.4028/www.scientific.net/AMM.580-583.3051

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Mechanics Analysis of Tower Crane
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A Comparison between the Matrix Displacement Method and the Finite Element Method in Solving Frame Structure with SM Solver Software
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Crack Extension Calculation under Tensile and Shear Load by XFEM
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Finite Element Solution in Fluid Mechanics Using Exponential Function Based Interpolation
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Numerical Simulation of Flow around High-Rise Buildings Based on Reynolds Stress Model
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Reconstruction of Shallow Shells for Increase Bearing Capacities and Operating Characteristics
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Study on Reduced Order Model in Large-Span Roof Vibration under Wind Actions
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The Coupling of Pseudo-Spectral Method and Domain Decomposition Method for the Elastostatic Problem
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 580-583Finite Element Solution in Fluid Mechanics Using...

Finite Element Solution in Fluid Mechanics Using Exponential Function Based Interpolation

Abstract:

The wave problem of finite element solution of one dimensional stationary convection diffusion equation is analyzed. The reason for wave is the poor continuity of linear Lagrange shape function. By using exponential function based interpolation (EFBI), the results of finite element solution are compared with that of the analytical solution. The results indicate that EFBI is effective to deal with the problem of numerical wave. The shape function of three dimensional EFBI is derived and analyzed. Morphological analysis shows that EFBI has good differentiability and adaptability.

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Periodical:

Applied Mechanics and Materials (Volumes 580-583)

Pages:

3051-3056

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.580-583.3051

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Online since:

July 2014

Authors:

Shao Wen Fang, Xing Fei Yuan, Ruo Jun Qian, Shu Hui Jiang

Keywords:

Convection Diffusion Equation, Exponential Function Based Interpolation (EFBI), Finite Element in Fluid Mechanics, Morphological Analysis, Numerical Wave

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