Advanced Boundary Elements for Heat Transfer

M-T. Ibanez, H. Power (Autoren)

Buch | Hardcover

150 Seiten

2002
WIT Press (Verlag)
978-1-85312-898-1 (ISBN)

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Numerical computations of time-dependent problems using boundary integral approach have been hampered by the history dependence in the formulation. This is an efficient numerical scheme for the boundary element solution of heat transfer problems.

In this book the authors present an efficient Boundary Element Method scheme for the numerical solution of two-dimensional heat transfer problems. Lacking the major computational difficulties of traditional reinitialization and convolution schemes, this is of the reinitialization type, in which the domain integrals are computed by a recursive relation that depends only on the boundary temperature and flux at the previous time-step. The new numerical approach is then used to solve several different heat transfer problems with fixed and moving boundaries and comparisons with previous analytical and numerical solutions are also presented to validate the results obtained.

Introduction, Related schemes, Contents of this work; Integral representation formula for heat transfer, Introduction, Integral representation formula, Boundary element method; Non-history-dependent convolution scheme, Introduction, Green function, Integral equation with degenerate kernal, Convolution scheme; Recursive reinitialization scheme, Introduction, Greengard and Strain algorithm, Boundary integral equation, Proposed numerical scheme, Internal value of the temperature using Fourier series; Numerical examples for fixed boundaries, Numerical results, CPU-time comparison, Refined approach by adding images; Thermal diffusion with moving boundary, Introduction, Boundary integral representation, Proposed numerical scheme; Numerical examples with moving boundary, Introduction, Numerical examples. Appendices: Fourier series representation for the Green function; Bounds for the integral of the absolute value of the kernal and for the truncated Fourier series in the convolution scheme; Truncation error bound for the Fourier series; Surface trigonometric moments of u and q; Analytical space integration of the single-layer potential when the collocation point lies in the integration element.

Erscheint lt. Verlag	11.1.2002
Reihe/Serie	Topics in Engineering ; 42
Zusatzinfo	illustrations
Verlagsort	Southampton
Sprache	englisch
Maße	165 x 242 mm
Themenwelt	Technik ► Elektrotechnik / Energietechnik
ISBN-10	1-85312-898-8 / 1853128988
ISBN-13	978-1-85312-898-1 / 9781853128981
Zustand	Neuware