ISSN:
0271-2091
Keywords:
Fourier analysis
;
Non-uniform mesh
;
Wave reflection/transmission
;
Group velocity
;
Crank-Nicolson finite elements
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Internal wave reflections and transmissions are examined for the Crank-Nicolson linear finite element scheme applied to the linear shallow water equations in a ID domain containing an abrupt change in nodal spacing. In Part I of this series the reflection/transmission analysis was verified by some ‘hot-start’ numerical experiments. Here in Part II, however, that analysis is found wanting when it comes to providing a description of the pseudo-steady state wave configuration which develops with some ‘cold-start’ experiments. It is shown that the analysis of Part I can be extended to take in both the ‘hot-’ and ‘cold-start’ experimental results such that four essentially different wave configurations can be identified. The four configurations are discernible on the basis of group velocity. In order to be sustained, two of the configurations require one energy source whereas the other two require two energy sòurces. Numerical experiments confirmed the analysis.
Additional Material:
14 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650090705
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