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A finite element analysis of mach reflection by using the Boussinesq equation
Author(s) -
Kato Shoichiro,
Takagi Toshimitsu,
Kawahara Mutsuto
Publication year - 1998
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19980930)28:4<617::aid-fld736>3.0.co;2-l
Subject(s) - mach reflection , mach number , boussinesq approximation (buoyancy) , reflection (computer programming) , mathematics , finite element method , mathematical analysis , galerkin method , boundary value problem , mach wave , geometry , physics , mechanics , computer science , heat transfer , natural convection , rayleigh number , thermodynamics , programming language
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. © 1998 John Wiley & Sons, Ltd.