Numerical modelling of landslide-generated waves with the particle finite element method (PFEM) and a non-Newtonian flow model

Salazar, Fernando; Irazábal, Joaquín; Larese, Antonia; Oñate, Eugenio

doi:10.1002/nag.2428

Cited by 79 publications

(52 citation statements)

References 33 publications

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“…The weak form (33), with the modified conditions (38) on the slip boundary S , is discretized for implementation in the PFEM [27]. This is a Lagrangian method, based on triangular (2D) or tetrahedral (3D) elements, with continuous remeshing consisting of a fast Delaunay re-triangulation with prescribed node positions.…”

Section: Space Discretizationmentioning

confidence: 99%

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A basal slip model for Lagrangian finite element simulations of 3D landslides

Cremonesi

Ferri

Perego

2016

Num Anal Meth Geomechanics

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SUMMARYA Lagrangian numerical approach for the simulation of rapid landslide runouts is presented and discussed. The simulation approach is based on the so called Particle Finite Element Method (PFEM). The moving soil mass is assumed to obey a rigid-viscoplastic, non-dilatant Drucker-Prager constitutive law, which is cast in the form of a regularized, pressure sensitive Bingham model. Unlike in classical formulations of computational fluid mechanics, where no-slip boundary conditions are assumed, basal slip boundary conditions are introduced to account for the specific nature of the landslide-basal surface interface. The basal slip conditions are formulated in the form of modified Navier boundary conditions, with a pressure sensitive threshold. A special mixed Eulerian-Lagrangian formulation is used for the elements on the basal interface to accommodate the new slip conditions into the PFEM framework. To avoid inconsistencies in the presence of complex shapes of the basal surface, the no-flux condition through the basal surface is relaxed using a penalty approach. The proposed model is validated by simulating both laboratory tests and a real large scale problem, and the critical role of the basal slip is elucidated.

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Section: Space Discretizationmentioning

confidence: 99%

“…CREMONESI, F. FERRI AND U. PEREGO and fluid-structure interaction problems [29][30][31]. The method has been applied and validated on a large number of different problems, including simulations of landslides [32] and of landslidegenerated water waves [26,33].…”

mentioning

confidence: 99%

A basal slip model for Lagrangian finite element simulations of 3D landslides

Cremonesi

Ferri

Perego

2016

Num Anal Meth Geomechanics

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“…The method has been employed to face a variety of problems in different fields of engineering, such as free surface flows [17], landslides [31,32], industrial forming processes [24], ground excavation [4] and fluid-structure interaction [19], among others [12,20,21], [26]. The details of the algorithm and our implementation was described in previous publications [19,22,23].…”

Section: Numerical Modelmentioning

confidence: 99%

Air demand estimation in bottom outlets with the particle finite element method

et al. 2016

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Dam bottom outlets play a vital role in dam operation and safety, as they allow controlling the water surface elevation below the spillway level. For partial openings, water flows under the gate lip at high velocity and drags the air downstream of the gate, which may cause damages due to cavitation and vibration. The convenience of installing air vents in dam bottom outlets is well known by practitioners. The design of this element depends basically on the maximum air flow through the air vent, which in turn is a function of the specific geometry and the boundary conditions. The intrinsic features of this phenomenon makes it hard to analyse either on site or in full scaled experimental facilities. As a consequence, empirical formulas are frequently employed, which offer a conservative estimate of the maximum air flow. In this work, the particle finite element method was used to model the air-water interaction in Susqueda Dam bottom outlet, with different gate openings. Specific enhancements of the formulation were developed to consider air-water interaction. The results were analysed as compared to the conventional design criteria and to information gathered on site during the gate operation tests. This analysis suggests B Fernando Salazar that numerical modelling with the PFEM can be helpful for the design of this kind of hydraulic works.

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“…For SPH, EFG, MPM, and CEL, applying boundary conditions is difficult and, moreover, is always inaccurate when solving small-deformation problems or during the early stages of large-deformation problems. By contrast, PFEM that is developed to solve fluid-structure interaction problems (Oñate et al 17,21,22 ) and fluid only problems 23,24 can be employed as an ideal method for avoiding the aforementioned problems and has recently been used to solve problems in geomechanics [25][26][27][28][29][30][31][32][33] . The key feature of PFEM is that nodes are regarded as "particles" and the continuum medium as a cloud of these particles, which transport all the information of the continuum medium (eg, displacements, strains, stresses, material properties, and state variables), allow free movement and even separation from the continuum to which they originally belong.…”

Section: Introductionmentioning

confidence: 99%

An edge‐based strain smoothing particle finite element method for large deformation problems in geotechnical engineering

Jin

Yuan

Yin

et al. 2020

Num Anal Meth Geomechanics

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Summary To solve large deformation geotechnical problems, a novel strain‐smoothed particle finite element method (SPFEM) is proposed that incorporates a simple and effective edge‐based strain smoothing method within the framework of original PFEM. Compared with the original PFEM, the proposed novel SPFEM can solve the volumetric locking problem like previously developed node‐based smoothed PFEM when lower‐order triangular element is used. Compared with the node‐based smoothed PFEM known as “overly soft” or underestimation property, the proposed SPFEM offers super‐convergent and very accurate solutions due to the implementation of edge‐based strain smoothing method. To guarantee the computational stability, the proposed SPFEM uses an explicit time integration scheme and adopts an adaptive updating time step. Performance of the proposed SPFEM for geotechnical problems is first examined by four benchmark numerical examples: (a) bar vibrations, (b) large settlement of strip footing, (c) collapse of aluminium bars column, and (d) failure of a homogeneous soil slope. Finally, the progressive failure of slope of sensitive clay is simulated using the proposed SPFEM to show its outstanding performance in solving large deformation geotechnical problems. All results demonstrate that the novel SPFEM is a powerful and easily extensible numerical method for analysing large deformation problems in geotechnical engineering.

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Numerical modelling of landslide-generated waves with the particle finite element method (PFEM) and a non-Newtonian flow model

Cited by 79 publications

References 33 publications

A basal slip model for Lagrangian finite element simulations of 3D landslides

A basal slip model for Lagrangian finite element simulations of 3D landslides

Air demand estimation in bottom outlets with the particle finite element method

An edge‐based strain smoothing particle finite element method for large deformation problems in geotechnical engineering

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