September 21, 2021 / kh

SFB 1313 Publication "Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media"

Authors: Dennis Gläser, Martin Schneider, Bernd Flemisch, Rainer Helmig | Published in: Journal of Computational Physics

New SFB 1313 publication, published in the Journal of Computational Physics. The paper has been prepared within SFB 1313's interal research project I-03.

"Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media"

Authors:

Abstract:

Flow in fractured porous media is of high relevance in a variety of geotechnical applications, given the fact that they ubiquitously occur in nature and that they can have a substantial impact on the hydraulic properties of rock. As a response to this, an active field of research has developed over the past decades, focussing on the development of mathematical models and numerical methods to describe and simulate the flow processes in fractured rock. In this work, we present a comparison of different finite volume-based numerical schemes for the simulation of flow in fractured porous media by means of numerical experiments. Two novel vertex-centered approaches are presented and compared to well-established numerical schemes in terms of convergence behavior and their performance on benchmark studies taken from the literature. The new schemes show to produce results that are in good agreement with those of established methods while leading to less degrees of freedom on unstructured simplex grids.

Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media

This image shows Dennis Gläser
Dr.-Ing.

Dennis Gläser

Postdoctoral Researcher, Internal Research Project I-03

This image shows Martin Schneider
Dr.-Ing.

Martin Schneider

Principal Investigator, Research Project A02, Project INF

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