Discontinuous control-volume/finite-element method for advection-diffusion problems

作者：Stipcich G^*; Piller M; Pivetta M; Zovatto L

来源：Computers & Fluids, 2011, 52: 33-49.

DOI：10.1016/j.compfluid.2011.08.014

• CVFEM
• Spectral methods
• Discontinuous methods
• Advection-diffusion
• Mixed formulation

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.

• 出版日期2011-12-30