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Nonlinear Shell Models of Koiter’s Type Read chapter Read first chapter

2002 | OriginalPaper | Chapter

Pattern Formation of Heat Convection Problems

Authors : Takaaki Nishida, Tsutomu Ikeda, Hideaki Yoshihara

Published in: Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Publisher: Springer Berlin Heidelberg

Included in: Professional Book Archive

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We consider the Rayleigh-Bénard problem of the heat convection in the horizontal strip with the stress free boundary condition for the velocity and Dirichlet boundary condition for the temperature. We examine the pattern formation of the roll type solution, the rectangular type solution and the hexagonal type solution and see the stability of them and a better bifurcation diagram for the full system by using numerical computations.

previous chapter Numerical Verification Methods for Solutions of Free Boundary Problems
next chapter Mathematical Modeling and Numerical Simulation of Earth’s Mantle Convection
Metadata
Title
Pattern Formation of Heat Convection Problems
Authors
Takaaki Nishida
Tsutomu Ikeda
Hideaki Yoshihara
Copyright Year
2002
Publisher
Springer Berlin Heidelberg
Book
Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Print ISBN: 978-3-540-42399-7

Electronic ISBN: 978-3-642-56288-4

Copyright Year: 2002

DOI
https://doi.org/10.1007/978-3-642-56288-4_15