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Numerical Issues Arising in the Simulations of Transient Water Flow in Layered Unsaturated Soils

Abstract The geotechnical community typically relies on recommendations made from numerical simulations. Commercial software exhibits (local) numerical instabilities in layered soils across soil interfaces. This research work investigates unsaturated moisture flow in layered soils and identifies a possible source of numerical instabilities across soil interfaces and potential improvement in numerical schemes for solving the Richards' equation. The numerical issue at soil interfaces is addressed by a (nonlinear) interface problem. A full analysis of the simplest soil hydraulic model, the Gardner model, identifies the conditions of ill-posedness of the interface problem. Numerical experiments on various (more advanced and practical) soil hydraulic... (more)
Created Date 2017
Contributor Liu, Ruowen (Author) / Welfert, Bruno D (Advisor) / Houston, Sandra L (Committee member) / Jackiewicz, Zdzislaw (Committee member) / Ringhofer, Christian (Committee member) / Zapata, Claudia E (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics / Civil engineering / Geotechnology
Type Doctoral Dissertation
Extent 105 pages
Language English
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Applied Mathematics 2017
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis