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EnglishThe discontinuous control-volume/finite-element method is applied to the one-dimensional advection-diffusion equation. The aforementioned methodology is relatively novel and has been mainly applied for the solution of pure-advection problems. This work focuses on the main features of an accurate representation of the diffusion operator, which are investigated both by Fourier analysis and numerical experiments. A mixed formulation is followed, where the constitutive equation for the diffusive flux is not substituted into the conservation equation for the transported scalar. The Fourier analysis of a linear, diffusion problem shows that the resolution error is both dispersive and dissipative, in contrast with the purely dissipative error of the traditional continuous Galerkin approximation.
| Titolo: | Discontinuous control-volume/finite-element method for advection-diffusion problems | |
| Autori: | ||
| Data di pubblicazione: | 2011 | |
| Rivista: | ||
| Abstract: | The discontinuous control-volume/finite-element method is applied to the one-dimensional advection-diffusion equation. The aforementioned methodology is relatively novel and has been mainly applied for the solution of pure-advection problems. This work focuses on the main features of an accurate representation of the diffusion operator, which are investigated both by Fourier analysis and numerical experiments. A mixed formulation is followed, where the constitutive equation for the diffusive flux is not substituted into the conservation equation for the transported scalar. The Fourier analysis of a linear, diffusion problem shows that the resolution error is both dispersive and dissipative, in contrast with the purely dissipative error of the traditional continuous Galerkin approximation. | |
| Handle: | http://hdl.handle.net/11368/2367780 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.compfluid.2011.08.014 | |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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