A multiresolution strategy for solving landslides using the Particle Finite Element Method

We present an approach for the simulation of landslides using the Particle Finite Element Method of the second generation. In this work, the multiphase nature (granular phase and water) of the phenomenon is considered in a staggered fashion using a single, indeformable Finite Element mesh. A fractional step and a monolithic strategy are used for the water flow and granular phase, respectively. In this way, the maximum accuracy with minimal computational times is reached. The method is completed by adding the interaction terms due to drag and pressure forces, together with a moving mesh strategy to reduce the size of the computational domain.

[1]  Eugenio Oñate,et al.  Numerical and experimental study of overtopping and failure of rockfill dams , 2015 .

[2]  Ha H. Bui,et al.  Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic–plastic soil constitutive model , 2008 .

[3]  Eugenio Oñate,et al.  A unified monolithic approach for multi-fluid flows and fluid–structure interaction using the Particle Finite Element Method with fixed mesh , 2015 .

[4]  M. Quecedo,et al.  Numerical modelling of impulse wave generated by fast landslides , 2004 .

[5]  H. Owen.  A Finite Element Model for Free Surface and Two Fluid Flows on Fixed Meshes , 2009 .

[6]  Antonia Larese,et al.  Numerical modelling of landslide‐generated waves with the particle finite element method (PFEM) and a non‐Newtonian flow model , 2016 .

[7]  T. Papanastasiou.  Flows of Materials with Yield , 1987 .

[8]  Ronald F. Scott,et al.  Principles of soil mechanics , 1963 .

[9]  A. Chorin.  A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[10]  E. Oñate,et al.  A coupled PFEM–Eulerian approach for the solution of porous FSI problems , 2012, Computational Mechanics.

[11]  Eugenio Oñate,et al.  Analysis of multifluid flows with large time steps using the particle finite element method , 2014 .

[12]  Tayfan E. Tezduyar,et al.  Stabilized Finite Element Formulations for Incompressible Flow Computations , 1991 .

[13]  Timon Rabczuk,et al.  A new approach for modelling slip lines in geological materials with cohesive models , 2006 .

[14]  X. Zhuang,et al.  A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modeling , 2013 .

[15]  Eduardo Alonso,et al.  Criteria for rapid sliding II.: Thermo-hydro-mechanical and scale effects in Vaiont case , 2010 .

[16]  Dwayne D. Tannant,et al.  Unified continuum/discontinuum modeling framework for slope stability assessment , 2014 .

[17]  Hermann M. Fritz,et al.  Lituya Bay Case Rockslide Impact and Wave Run-up , 2001 .

[18]  R. Codina.  Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods , 2000 .

[19]  V. Heller.  Landslide generated impulse waves: prediction of near field characteristics , 2007 .

[20]  Hehua Zhu,et al.  HIGH ROCK SLOPE STABILITY ANALYSIS USING THE ENRICHED MESHLESS SHEPARD AND LEAST SQUARES METHOD , 2011 .

[21]  Eugenio Oñate,et al.  Large time-step explicit integration method for solving problems with dominant convection , 2012 .

[22]  S. Ergun,et al.  Fluid Flow through Randomly Packed Columns and Fluidized Beds , 1949 .

[23]  Ted Belytschko,et al.  Cracking particles: a simplified meshfree method for arbitrary evolving cracks , 2004 .

[24]  Hehua Zhu,et al.  A multi-shell cover algorithm for contact detection in the three dimensional discontinuous deformation analysis , 2014 .

[25]  Hehua Zhu,et al.  Integration of three dimensional discontinuous deformation analysis (DDA) with binocular photogrammetry for stability analysis of tunnels in blocky rockmass , 2016 .