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u‐p semi‐Lagrangian reproducing kernel formulation for landslide modeling
journal contributionposted on 2018-06-19, 00:00 authored by Thanakorn Siriaksorn, Sheng-Wei Chi, Craig Foster, Ashkan Mahdavi
This paper presents a u-p (displacement-pressure) semi-Lagrangian Reproducing Kernel (RK) formulation to effectively analyze landslide processes. The semi-Lagrangian RK approximation is constructed based on Lagrangian discretization points with fixed kernel supports in the current configuration. As a result, it tracks state variables at discretization points while allowing extreme deformation and material separation that is beyond the capability of Lagrangian formulations. The u-p formulation following Biot theory is incorporated into the formulation to describe poromechanics of saturated geomaterials. In addition, a stabilized nodal integration method to ensure stability of the domain integration, and kernel contact algorithms to model contact between bodies, are introduced in the u-p semi-Lagrangian RK formulation. The proposed method is verified with several numerical examples and validated with an experimental result and the field data of an actual landslide.
This research was partially supported by U.S. Army Corps of Engineers (Grant No. W912HQ16-P-0002).
Publisher StatementThis is the pre-peer reviewed version of the following article: Siriaksorn, T., Chi, S. W., Foster, C. and Mahdavi, A. u-p semi-Lagrangian reproducing kernel formulation for landslide modeling. International Journal for Numerical and Analytical Methods in Geomechanics. 2018. 42(2): 231-25, which has been published in final form at 10.1002/nag.2722.
CitationSiriaksorn, T., Chi, S. W., Foster, C. and Mahdavi, A. u-p semi-Lagrangian reproducing kernel formulation for landslide modeling. International Journal for Numerical and Analytical Methods in Geomechanics. 2018. 42(2): 231-255. 10.1002/nag.2722.