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Boundary element methods for transient convective diffusion. Part I: General formulation and 1D implementation

✍ Scribed by M.M. Grigoriev; G.F. Dargush

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
184 KB
Volume
192
Category
Article
ISSN
0045-7825

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✦ Synopsis

A general formulation of higher-order boundary element methods (BEM) is presented for time-dependent convective diffusion problems in one-and multi-dimensions. Free-space time-dependent convective diffusion fundamental solutions originally proposed by Carslaw and Jaeger are used to obtain the boundary integral formulation. Linear, quadratic and quartic time interpolation functions are introduced in this paper for approximate representation of timedependent boundary temperatures and normal fluxes. Closed form time integration of the kernels is mandatory to attain both accuracy and efficiency of the numerical approach. A complete set of time integrals for the one-dimensional formulation is presented here for the first time in the literature.

πŸ“œ SIMILAR VOLUMES

Boundary element methods for transient c
Boundary element methods for transient convective diffusion. Part II: 2D implementation
✍ M.M. Grigoriev; G.F. Dargush πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 320 KB

A boundary element method for transient convective diffusion phenomena presented in Part I of the paper is extended to two dimensional problems. We introduce a series representation for the transient convective kernel and perform a time integration for the double integrals to evaluate coefficients o

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Higher-order boundary element methods (BEM) for transient convective diffusion phenomena presented in Parts I and II of the paper are implemented numerically to examine their performance for a series of model problems. In order to highlight the importance of proper resolution in time and space for t

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Higher-order boundary element methods for transient diffusion problems. Part I: Bounded flux formulation
✍ M. M. Grigoriev; G. F. Dargush πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 801 KB

## Abstract Despite the significant number of publications on boundary element methods (BEM) for time‐dependent problems of heat diffusion, there still remain issues that need to be addressed, most importantly accuracy of the numerical modelling. Although very precise for steady‐state problems, the