Abstract
The aim of this project is a complete yet simple numerical model for the heat transfer in a system of exhaust pipes of an automobile. The industrial partner Tenneco Automotive, H. Gillet GmbH at Edenkoben, uses this simulation for optimising the construction of the exhaust system in order to improve the efficiency of the catalytic converters. In this model forced convection of the exhaust gas, the heat conduction and the heat transfer due to radiation are taken into account. For the effective numerical solution of the boundary integral equation for the radiation heat transfer a method that is based on matrix compression is developed. Some numerical examples for the matrix compression and calculations using a developed software package are presented.
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References
T. Nording. Neuartiges Konzept für Abgaskrümmer, Vorrohre und Katalysatoren. Motortechnische Zeitschrift, 52: 206–210, 1991.
W. Hackbusch. A sparse matrix arithmetic based on H-matrices. I. Introduction to H-matrices. Computing, 62(2): 89–108, 1999.
W. Hackbusch and B. N. Khoromskij. A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems. Technical report, Max-Planck-Institut, Leipzig, 1999.
W. Hackbusch and Z. P. Nowak. On the fast matrix multiplication in the boundary element method by panel clustering. Numer. Math., 54(4): 463–491, 1989.
S. Rjasanow. Effective Algorithms with Block Circulant Matrices. Linear Algebra Appl., 202: 55–69, 1994.
S. Rjasanow. Heat Transfer in an Insulated Exhaust Pipe. Journal Eng. Math., 29: 33–49, 1995.
S. Rjasanow. Optimal preconditioner for boundary element formulation of the Dirichlet problem in elasticity. Math. Methods in Appl. Sciences, 18: 603–613, 1995.
S. Rjasanow. The Structure of the Boundary Element Matrix for the Three-dimensional Dirichlet Problem in Elasticity. Num. Linear Algebra Appl., 5(3): 203–217, 1998.
M. Bebendorf. Low-rank approximation of boundary element matrices. to appear in Numerische Mathematik.
Bebendorf M., Rjasanow S. Matrix compression for the radiation heat transfer in exhaust pipes. to appear in Multifield Problems in Solid and Fluid Mechanics, Springer, Berlin
A. Brandt. Multilevel computations of integral transforms and particle interactions with oscillatory kernels. Comput. Phys. Comm., 65: 24–38, 1991.
Rokhlin, V. Rapid solution of integral equations of classical potential theory. J. Comput. Phys., 60: 187–207, 1985.
Greengard, L. and Rokhlin, V. A fast algorithm for particle simulations. J. Comput. Phys., 73: 325–348, 1987.
Greengard, L. and Rokhlin, V. A new version of the fast multipole method for the Laplace equation in three dimensions. Acta numerica, Cambridge: 229-269, 1997.
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© 2003 Springer-Verlag Berlin Heidelberg
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Rjasanow, S., Bebendorf, M. (2003). Numerical Simulation of Exhaust Systems in Car Industry — Efficient Calculation of Radiation Heat Transfer. In: Jäger, W., Krebs, HJ. (eds) Mathematics — Key Technology for the Future. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55753-8_5
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DOI: https://doi.org/10.1007/978-3-642-55753-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62914-3
Online ISBN: 978-3-642-55753-8
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