A spectral embedding method applied to the advection–diffusion equation
M Elghaoui, R Pasquetti - Journal of Computational Physics, 1996 - Elsevier
M Elghaoui, R Pasquetti
Journal of Computational Physics, 1996•ElsevierIn order to solve partial differential equations in complex geometries with a spectral type
method, one describes an embedding approach which essentially makes use of Fourier
expansions and boundary integral equations. For the advection–diffusion equation, the
method is based on an efficient “Helmholtz solver,” the accuracy of which is tested by
considering 1D and 2D Helmholtz-like problems. Finally, the capabilities of the method are
pointed out by considering a 2D advection–diffusion problem in a hexagonal geometry.
method, one describes an embedding approach which essentially makes use of Fourier
expansions and boundary integral equations. For the advection–diffusion equation, the
method is based on an efficient “Helmholtz solver,” the accuracy of which is tested by
considering 1D and 2D Helmholtz-like problems. Finally, the capabilities of the method are
pointed out by considering a 2D advection–diffusion problem in a hexagonal geometry.
Abstract
In order to solve partial differential equations in complex geometries with a spectral type method, one describes an embedding approach which essentially makes use of Fourier expansions and boundary integral equations. For the advection–diffusion equation, the method is based on an efficient “Helmholtz solver,” the accuracy of which is tested by considering 1D and 2D Helmholtz-like problems. Finally, the capabilities of the method are pointed out by considering a 2D advection–diffusion problem in a hexagonal geometry.
Elsevier
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