Possibilities of the particle finite element method for fluid–soil–structure interaction problems

Oñate, Eugenio; Celigueta, Miguel Ángel; Idelsohn, Sergio; Salazar, Fernando; Suárez, Benjamín

doi:10.1007/s00466-011-0617-2

Cited by 151 publications

(103 citation statements)

References 42 publications

(74 reference statements)

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“…(25) and (26) result from the FIC assumptions and, as usual, h ij and h k are the characteristic length parameters. The governing equations are completed with the adequate boundary conditions.…”

Section: A Particle Finite Element Methods Via Ficmentioning

confidence: 99%

Finite increment calculus (FIC): a framework for deriving enhanced computational methods in mechanics

Oñate

2016

Adv. Model. and Simul. in Eng. Sci.

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In this paper we present an overview of the possibilities of the finite increment calculus (FIC) approach for deriving computational methods in mechanics with improved numerical properties for stability and accuracy. The basic concepts of the FIC procedure are presented in its application to problems of advection-diffusion-reaction, fluid mechanics and fluid-structure interaction solved with the finite element method (FEM). Examples of the good features of the FIC/FEM technique for solving some of these problems are given. A brief outline of the possibilities of the FIC/FEM approach for error estimation and mesh adaptivity is given.

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Section: A Particle Finite Element Methods Via Ficmentioning

confidence: 99%

Finite increment calculus (FIC): a framework for deriving enhanced computational methods in mechanics

Oñate

2016

Adv. Model. and Simul. in Eng. Sci.

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“…The coupling effects between the particles and the fluid are introduced via an immersed technique [3][4][5]. The fluid motion is modelled either with an Eulerian stabilized FEM formulation using a fixed mesh, or using a Lagrangian formulation using the Particle Finite Element Method (PFEM) [4,[6][7][8][9][10][11][12][13][14][15][16] for which the mesh evolves in time. For both the Eulerian and the Lagrangian formulations we use a mixed finite element formulation with an equal order linear interpolation for the velocities and the pressure variables.…”

Section: Introductionmentioning

confidence: 99%

“…Another source of instability, however, remains in the numerical solution of Lagrangian flows such as PFEM, that due to the treatment of the incompressibility constraint which still requires using a stabilized numerical method. In this work we use a PFEM formulation based on a residual-based stabilized expression of the mass balance equation [10][11][12][13][14][15][16]. The excellent mass preservation feature of this formulation has been demonstrated previously [7,16].…”

Section: Introductionmentioning

confidence: 99%

A FEM-DEM technique for studying the motion of particles in non-Newtonian fluids. Application to the transport of drill cuttings in wellbores

et al. 2015

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We present a procedure for coupling the finite element method (FEM) and the discrete element method (DEM) for analysis of the motion of particles in non-Newtonian fluids. Particles are assumed to be spherical and immersed in the fluid mesh. A new method for computing the drag force on the particles in a non-Newtonian fluid is presented. A drag force correction for non-spherical particles is proposed. The FEM-DEM coupling procedure is explained for Eulerian and Lagrangian flows and the basic expressions of the discretized solution algorithm are given. The usefulness of the FEM-DEM technique is demonstrated in its application to the transport of drill cuttings in wellbores.

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“…The PFEM has also been tested successfully in other kind of problems, such as fluid mechanics including thermal convection-diffusion [5,80,95], multi-fluids [36,62], granular materials [131], bed erosion [87], FSI [81,132] and excavation [19].…”

Section: Eulerian and Lagrangian Approaches For Free Surface Flow Anamentioning

confidence: 99%

“…In previous works it has been found that the computational time associated to the remeshing grows linearly with the number of nodes [81]. Specifically, for a single processor Pentium IV PC the meshing consumes for 3D problems around 15% of the total CPU time per time step, while the solution of the equations (with typically 3 iterations per time step) and the consists on leaving the wall particles move along the direction of the wall until when the separation from the original position is larger than a prearranged critical distance.…”

Section: Advantages and Disadvantagesmentioning

confidence: 99%

Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM

Franci

2017

Springer Theses

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The objective of this work is the derivation and implementation of a unified Finite Element formulation for the solution of fluid and solid mechanics, Fluid-Structure Interaction (FSI) and coupled thermal problems.The unified procedure is based on a stabilized velocity-pressure Lagrangian formulation.Each time step increment is solved using a two-step Gauss-Seidel scheme: first the linear momentum equations are solved for the velocity increments, next the continuity equation is solved for the pressure in the updated configuration.The Particle Finite Element Method (PFEM) is used for the fluid domains, while the Finite Element Method (FEM) is employed for the solid ones. As a consequence, the domain is remeshed only in the parts occupied by the fluid.Linear shape functions are used for both the velocity and the pressure fields. In order to deal with the incompressibility of the materials, the formulation has been stabilized using an updated version of the Finite Calculus (FIC) method. The procedure has been derived for quasi-incompressible Newtonian fluids. In this work, the FIC stabilization procedure has been extended also to the analysis of quasi-incompressible hypoelastic solids.Specific attention has been given to the study of free surface flow problems. In particular, the mass preservation feature of the PFEM-FIC stabilized procedure has been deeply studied with the help of several numerical examples. Furthermore, the conditioning of the problem has been analyzed in detail describing the effect of the bulk modulus on the numerical scheme. A strategy based on the use of a pseudo bulk modulus for improving the conditioning of the linear system is also presented.The unified formulation has been validated by comparing its numerical results to experimental tests and other numerical solutions for fluid and solid mechanics, and FSI problems. The convergence of the scheme has been also analyzed for most of the problems presented.The unified formulation has been coupled with the heat tranfer problem using a staggered scheme. A simple algorithm for simulating phase change problems is also described. The numerical solution of several FSI problems involving the temperature is given.The thermal coupled scheme has been used successfully for the solution of an industrial problem. The objective of study was to analyze the damage of a nuclear power plant pressure vessel induced by a high viscous fluid at high temperature, the corium. The numerical study of this industrial problem has been included in this work.ii ResumenEl objectivo del presente trabajo es la derivación e implementación de una formulación unificada con elementos finitos para la solución de problemas de mecánica de fluidos y de sólidos, interacción fluido-estructura (Fluid-Structure Interaction (FSI)) y con acoplamiento térmico.El método unificado está basado en una formulación Lagrangiana estabilizada y las variables incçognitas son las velocidades y la presión. Cada paso de tiempo se soluciona a través de un esquema de dos pasos de tipo Gauss-Seide...

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Possibilities of the particle finite element method for fluid–soil–structure interaction problems

Cited by 151 publications

References 42 publications

Finite increment calculus (FIC): a framework for deriving enhanced computational methods in mechanics

Finite increment calculus (FIC): a framework for deriving enhanced computational methods in mechanics

A FEM-DEM technique for studying the motion of particles in non-Newtonian fluids. Application to the transport of drill cuttings in wellbores

Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM

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