Burgers equation on the plane is considered. It is solved in a bounded domain Ω by introducing absorbing boundary condition and by using the Galerkin method with a finite element basis. The artificial boundary condition is obtained by solving numerically the integral formulation of the Burgers equation in the Fourier space and by using a basis of Gaussian functions in a rectangle R Ω. The proposed method is tested by numerical experiments.
An absorbing boundary condition for the Burgers equation
EGIDI, Nadaniela;MAPONI, Pierluigi
2016-01-01
Abstract
Burgers equation on the plane is considered. It is solved in a bounded domain Ω by introducing absorbing boundary condition and by using the Galerkin method with a finite element basis. The artificial boundary condition is obtained by solving numerically the integral formulation of the Burgers equation in the Fourier space and by using a basis of Gaussian functions in a rectangle R Ω. The proposed method is tested by numerical experiments.File in questo prodotto:
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