Premium
Advanced FEM for free surface flow with application to landslides
Author(s) -
Schauer Marco,
Reinstädler Sven,
Dinkler Dieter
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610227
Subject(s) - finite element method , discretization , free surface , kinematics , landslide , extrapolation , flow (mathematics) , surface (topology) , stokes flow , mechanics , algebraic equation , mathematics , mathematical analysis , classical mechanics , geology , physics , geometry , geotechnical engineering , nonlinear system , engineering , structural engineering , quantum mechanics
An advanced space‐time finite element method is presented to investigate movements of landslides and their interaction with flexible structures. The mechanics of liquefied soil is described by Navier‐Stokes‐equations for visco‐plastic non‐newtonian fluid. Likewise the fluid the kinematics of the structure is described by velocities, taking large rotations into account. This leads to a monolithic fluid‐structure interaction approach considering the multi‐field problem as a whole. The discretized model equations are assembled in a single set of algebraic equations, which are solved by applying Newton‐Raphson scheme. Free surface motion of landslide is described by the level‐set method. To reduce computational effort the fragmented finite element method is used, where only active finite elements are evaluated. A pde‐based extrapolation of the velocity‐field is applied to ensure an accurate transport of distance function, which defines the profile in space and time of the free surfaces. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)