Distortion Sensitivity of Chebyshev Pseudospectral Element Method
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Distortion Sensitivity of Chebyshev Pseudospectral Element Method
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| Creator |
V, Senthilkumar
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| Subject |
Structural Mechanics
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| Description |
The pseudospectral method can be considered to be a spectral method that performs a collocation
process. As the formulation is straightforward and robust enough to produce approximate solutions
close to exact solutions, this method has been highly successful in many areas such as turbulence
modelling, weather prediction and non-linear waves. Even though this method can be used for the
solution of structural mechanics problems, it has been largely unnoticed by structural mechanics
researchers, and few articles are available where the pseudospectral method has been applied. From
the literature, it has been observed that the use of the Chebyshev Pseudospectral Element Method
(CPEM) has been quite limited in the fields of structural mechanics. In CPEM [1], Chebyshev
polynomials are used as the basis/interpolation functions and Chebyshev-Gauss-Lobato points are
used as grid points. The usefulness of the pseudospectral method in the solution of structural
mechanics problems has been demonstrated in a static analysis of the L-shaped Reissner–Mindlin
plate [2]. In structural mechanics, one of the great challenges is mesh distortion problems. Distorted
elements produce relatively poor results. Distorted meshes can slow down the convergence of the
solutions and may give inaccurate results. Distorted meshes are unavoidable when we analyse
complex structures. The distortion sensitivity of the CPEM is not yet completely studied in the
available literature. The present work is an attempt to fill this void. The static analysis of CPEM is
carried out to analyse the mesh distortion sensitivity.
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| Publisher |
10th US National Congress on Computational Mechanics
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| Date |
2009-07-16
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| Type |
Book
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/158/1/Distortion%20Sensitivity%20of%20Chebyshev%20Pseudospectral%20Element%20Method.pdf
V, Senthilkumar (2009) Distortion Sensitivity of Chebyshev Pseudospectral Element Method. Proceedings of 10th US National Congress on Computational Mechanics,Columbus, Ohio, USA, July 16-19, 2009. . 10th US National Congress on Computational Mechanics, Columbus, Ohio, USA. |
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| Relation |
http://cir.cmmacs.ernet.in/158/
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