Gärttner S, Frolkovič P, Knabner P, Ray N (2020)
Publication Type: Journal article
Publication year: 2020
Book Volume: 56
Article Number: e2020WR027585
Journal Issue: 8
DOI: 10.1029/2020WR027585
Micro-macro models for dissolution processes are derived from detailed pore-scale models applying upscaling techniques. They consist of flow and transport equations at the scale of the porous medium (macroscale). Both include averaged time- and space-dependent coefficient functions (permeability, porosity, reactive surface, and effective diffusion). These are in turn explicitly computed from the time- and space-dependent geometry of unit cells and by means of auxiliary cell problems defined therein (microscale). The explicit geometric structure is characterized by a level set. For its evolution, information from the transport equations solutions is taken into account (micro-macro scales). A numerical scheme is introduced, which is capable of evaluating such complex settings. For the level-set equation a second-order scheme is applied, which enables us to accurately determine the dynamic reactive surface. Local mesh refinement methods are applied to evaluate Stokes type cell problems using P
APA:
Gärttner, S., Frolkovič, P., Knabner, P., & Ray, N. (2020). Efficiency and Accuracy of Micro-Macro Models for Mineral Dissolution. Water Resources Research, 56(8). https://dx.doi.org/10.1029/2020WR027585
MLA:
Gärttner, Stephan, et al. "Efficiency and Accuracy of Micro-Macro Models for Mineral Dissolution." Water Resources Research 56.8 (2020).
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