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Finite element approximation of the modified Boussinesq equations using a stabilized formulation

✍ Scribed by Ramon Codina; José M. González-Ondina; Gabriel Díaz-Hernández; Javier Principe

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
297 KB
Volume
57
Category
Article
ISSN
0271-2091

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On conservative finite element formulations of the inviscid Boussinesq equations
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## Abstract The finite element discretization of the inviscid Boussinesq equations is studied with particular emphasis on the conservation properties of the discrete equations. Methods which conserve the total energy, total temperature and total temperature squared, or two of the above mentioned qu

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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 metho