A posteriori estimators for vertex centred finite volume discretization of a convection-diffusion-reaction equation arising in flow in porous media

We present an adaptive numerical technique for solving convection–diffusion‐reaction problems, modelling the transport of contaminant in porous media. We develop and analyse residual error estimators using finite volume approximations. The error estimators with respect to both time and space yield g...

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Veröffentlicht in:	International journal for numerical methods in fluids 2009-01, Vol.59 (3), p.259-284
Hauptverfasser:	Amaziane, B., Bergam, A., El Ossmani, M., Mghazli, Z.
Format:	Artikel
Sprache:	eng
Schlagworte:	a posteriori error estimation adaptive method Computational methods in fluid dynamics convection-diffusion-reaction equation Exact sciences and technology finite volume Flows through porous media Fluid dynamics Fundamental areas of phenomenology (including applications) Nonhomogeneous flows Physics
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Beschreibung
Zusammenfassung:	We present an adaptive numerical technique for solving convection–diffusion‐reaction problems, modelling the transport of contaminant in porous media. We develop and analyse residual error estimators using finite volume approximations. The error estimators with respect to both time and space yield global upper and local lower bounds on the error measured in the energy norm. Computational results of various model simulations of fluid flow and transport of contaminant in heterogeneous aquifers are presented and discussed. Copyright © 2007 John Wiley & Sons, Ltd.
ISSN:	0271-2091 1097-0363
DOI:	10.1002/fld.1456