Solution of the advection-diffusion equation using a combination of discontinuous and mixed finite elements.(English)Zbl 0894.76041
The paper contains two parts. In the first one, the authors present the discontinuous finite element method in one dimension (a variational formulation, an explicit time discretization scheme, a Riemann problem, a slope limiter etc.). They further extend this method to triangular elements in conjunction with the mixed hybrid approximation for the discretization of the diffusive term. The second part of paper discusses some numerical results obtained by solving two test problems. The algorithm seems to be very useful when the transport equation becomes advection dominated.
Reviewer: C.I.Gheorghiu (Cluj-Napoca)
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76R99 | Diffusion and convection |
Keywords:
explicit time discretization scheme;variational formulation;slope limiter;triangular elements;solute transport in porous mediaCite
Full Text:DOI
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