A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity

Suciu N, Radu AF, Prechtel A, Brunner F, Knabner P (2013)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Journal of Computational and Applied Mathematics Elsevier

Publisher: Elsevier

Book Volume: 246

Pages Range: 27-37

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2013/2013_SuciuRaduPrechtelBrunnerKn_ACoupledFiniteElementGlobalRandomWalkApproach

DOI: 10.1016/j.cam.2012.06.027

Abstract

Solute transport through heterogeneous porous media considered in environmental and industrial problems is often characterized by high Péclet numbers. In this paper we develop a new numerical approach to advection-dominated transport consisting of coupling an accurate mass-conservative mixed finite element method (MFEM), used to solve Darcy flows, with a particle method, stable and free of numerical diffusion, for non-reactive transport simulations. The latter is the efficient global random walk (GRW) algorithm, which performs the simultaneous tracking of arbitrarily large collections of particles on regular lattices at computational costs comparable to those of single-trajectory simulations using traditional particle tracking (PT). MFEM saturated flow solutions are computed for spatially heterogeneous hydraulic conductivities parameterized as samples of random fields. The coupling is achieved by projecting the velocity field from the MFEM basis onto the regular GRW lattice. Preliminary results show that MFEM-GRW is tens of times faster than the full MFEM flow and transport simulation. © 2012.

Authors with CRIS profile

Nicolae Suciu Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Alexander Prechtel Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Fabian Brunner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Related research project(s)

MPFA and MHFE methods for flow and transport in porous media Jan. 1, 2012 - Dec. 31, 2013

Involved external institutions

University of Bergen / Universitetet i Bergen NO Norway (NO)

How to cite

APA:

Suciu, N., Radu, A.F., Prechtel, A., Brunner, F., & Knabner, P. (2013). A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity. Journal of Computational and Applied Mathematics, 246, 27-37. https://doi.org/10.1016/j.cam.2012.06.027

MLA:

Suciu, Nicolae, et al. "A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity." Journal of Computational and Applied Mathematics 246 (2013): 27-37.

BibTeX: Download