Solution of 2D Boussinesq systems with freefem++: the flat bottom case
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G. Sadaka
Abstract
-We consider here different family of Boussinesq systems in two space dimensions. These systems approximate the three-dimensional Euler equations and consist of three coupled nonlinear dispersive wave equations that describe propagation of long surface waves of small amplitude in ideal fluids over a horizontal bottom and which was studied in [7,9,10].We present here a freefem++ code aimed at solving numerically these systems where a discretization using P1 finite element for these systems was taken in space and a second order Runge-Kutta scheme in time.We give the detail of our code where we use a mesh adaptation technique. An optimization of the used algorithm is done and a comparison of the solution for different Boussinesq family is done too. The results we obtained agree with those of the literature.
© 2013 by Walter de Gruyter GmbH & Co.
Artikel in diesem Heft
- Masthead
- Preface
- A non-standard FETI-DP mortar method for Stokes problem
- Implementation of a low order mimetic elements in freefem++
- Moving meshes with freefem++
- Mathematical modeling of heat treatment for a steering rack including mechanical effects
- A scenario for symmetry breaking in Caffarelli–Kohn–Nirenberg inequalities
- New development in freefem++
- Fictitious domain method to model a movable rigid body in a sound wave
- High performance domain decomposition methods on massively parallel architectures with freefem++
- Solution of 2D Boussinesq systems with freefem++: the flat bottom case
- A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings
- Author Index
Artikel in diesem Heft
- Masthead
- Preface
- A non-standard FETI-DP mortar method for Stokes problem
- Implementation of a low order mimetic elements in freefem++
- Moving meshes with freefem++
- Mathematical modeling of heat treatment for a steering rack including mechanical effects
- A scenario for symmetry breaking in Caffarelli–Kohn–Nirenberg inequalities
- New development in freefem++
- Fictitious domain method to model a movable rigid body in a sound wave
- High performance domain decomposition methods on massively parallel architectures with freefem++
- Solution of 2D Boussinesq systems with freefem++: the flat bottom case
- A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings
- Author Index
