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A finite element analysis of mach reflection by using the Boussinesq equation

✍ Scribed by Shoichiro Kato; Toshimitsu Takagi; Mutsuto Kawahara

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
486 KB
Volume
28
Category
Article
ISSN
0271-2091

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✦ Synopsis

The numerical analysis of 'Mach reflection', which is the reflection of an obliquely incident solitary wave by a vertical wall, is presented. For the mathematical model of the analysis, the two-dimensional Boussinesq equation is used. In order to solve the equation in space, the finite element method based on the linear triangular element and the conventional Galerkin method is applied. The combination of explicit and semi-implicit schemes is employed for the time integration. Moreover, one of the treatments for the open boundary condition, in which the analytical solution of the linearized Boussinesq equation in the outside domain is linked to the discrete values of velocity and water elevation in the inside domain, is applied for the modeling of the Mach reflection problem.

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