• Celigueta M.A., Latorre S., Arrufat F., Eugenio Oñate
     

    Abstract

    The Discrete Element Method (DEM) has been used for modeling continua, like concrete or rocks. However, it requires a big calibration effort, even to capture just the linear elastic behavior of a continuum modelled via the classical force-displacement relationships at the contact [...]

  • Eugenio Oñate, Nadukandi P., Miquel J.
     

    Abstract

    In this paper we present an accurate stabilized FIC-FEM formulation for the multidimensional steady-state advection-diffusion-absorption equation. The stabilized formulation is based on the Galerkin FEM solution of the governing differential equations derived via the Finite Increment [...]

  • Idelsohn S.R., Eugenio Oñate, Becker P.
     

    Abstract

    Particle methods in Computational Fluid Dynamics (CFD) are numerical tools for the solution of the equations of f luid dynamics obtained by replacing the fluuid continuum with a finite set of particles. For mathematicians, particles are just points from which properties of the [...]

  • Abstract

    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 [...]

  • de Pouplana I., Eugenio Oñate
     

    Abstract

    Progressive fracture in quasi-brittle materials is often treated via strain softening models in continuum damage mechanics. Such constitutive relations favour spurious strain localization and ill-posedness of boundary value problems. The introduction of non-local damage models [...]

  • Franci A., Eugenio Oñate, Carbonell J.M.
     

    Abstract

    We present a Lagrangian monolithic strategy for solving fluid-structure interaction (FSI) problems. The formulation is called Unified because fluids and solids are solved using the same solution scheme and unknown variables. The method is based on a mixed velocity-pressure formulation. [...]

  • Celigueta M.A., Deshpande K.M., Latorre S., Eugenio Oñate
     

    Abstract

    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 [...]

  • Eugenio Oñate, Miquel J., Nadukandi P.
     

    Abstract

    In this paper we present an accurate stabilized FIC-FEM formulation for the 1D advection-diffusion-reaction equation in the exponential and propagation regimes using two stabilization parameters. Both the steady-state and transient solutions are considered. The stabilized formulation [...]

  • P.-A. Ubach, F. Arrufat, L. Ring, R. Gandikota, F. Zárate, Eugenio Oñate
     

    Abstract

    The authors present results on the use of the discrete element method (DEM) for the simulation of drilling processes typical in the oil and gas exploration industry. The numerical method uses advanced DEM techniques using a local definition of the DEM parameters and combined FEM-DEM [...]

  • Zárate F, Eugenio Oñate
     

    Abstract

    This paper presents a new computational technique for predicting the onset and evolution of fracture in a continuum in a simple manner combining the finite element method (FEM) and the discrete element method (DEM). Once a crack is detected at an element side in the FE mesh, discrete [...]

  • Kouhi M., Eugenio Oñate, Mavriplis D.
     

    Abstract

    In this paper, an adjoint-based error estimation and mesh adaptation framework is developed for the compressible inviscid flows. The algorithm employs the Finite Calculus (FIC) scheme for the numerical solution of the flow and discrete adjoint equations in the context of the Galerkin [...]

  • P. Becker, S.R Idelsohn, Eugenio Oñate
     

    Abstract

    This paper describes a strategy to solve multifluid and Fluid Structure Interaction (FSI) problems using Lagrangian particles combined with a fixed Finite Element (FE) mesh . The method is an extension from the fluid-only PFEM-2 [14][15], which uses explicit integration over the [...]

  • Franci A., Eugenio Oñate, Carbonell J.M.
     

    Abstract

    The purpose of this paper is to study the effect of the bulk modulus in the iterative matrix for the analysis of quasi-incompressible free surface fluid flows using a mixed Lagrangian finite element formulation and a partitioned solution scheme. A practical rule to set up the value [...]

  • Kouhi M., Eugenio Oñate
     

    Abstract

    A new implicit stabilized formulation for the numerical solution of the compressible NavierStokes equations is presented. The method is based on the Finite Calculus (FIC) scheme using the Galerkin finite element method (FEM) on triangular grids. Via the FIC formulation, two stabilization [...]

  • Eugenio Oñate, F. Zárate, J. Miquel, M. Santasusana, M.A. Celigueta, F. Arrufat, R. Gandikota, Khardar, L. Ring
     

    Abstract

    This paper presents a local constitutive model for modelling the linear and non linear behavior of soft and hard cohesive materials with the discrete element method (DEM). We present the results obtained in the analysis with the DEM of cylindrical samples of cement, concrete and [...]

  • Eugenio Oñate, M.A. Celigueta, S. Latorre, G. Casas, R. Rossi, J. Rojek
     

    Abstract

    We present a Lagrangian numerical technique for the analysis of flows incorporating physical particles of different sizes. The numerical approach is based on the Particle Finite Element Method (PFEM) which blends concepts from particle-based techniques and the FEM. The basis of [...]

  • Eugenio Oñate, Franci A., Carbonell J.M.
     

    Abstract

    We present a generalized Lagrangian formulation for analysis of industrial forming processes involving thermally coupled interactions between deformable continua. The governing equations for the deformable bodies are written in a unified manner that holds both for fluids and solids. [...]

  • Eugenio Oñate, Carbonell J.M.
     

    Abstract

    We present a mixed velocity-pressure finite element formulation for solving the updated Lagrangian equations for quasi and fully incompressible fluids. Details of the governing equations for the conservation of momentum and mass are given in both differential and variational [...]

  • Eugenio Oñate, Nadukandi P., Idelsohn S.R.
     

    Abstract

    We present a 3-noded triangle and a 4-noded tetrahedra with a continuous linear velocity and a discontinuous linear pressure field formed by the sum of an unknown constant pressure field and a prescribed linear field that satisfies the steady state momentum equations for a constant [...]

  • Flores R., Ortega E., Eugenio Oñate
     

    Abstract

    This work describes a set of simple yet effective, numerical method for the design and evaluation of parachute-payload system. The developments include a coupled fluidstructural solver for unsteady simulations of ram-air type parachutes. For an efficient solution of the aerodynamic [...]

  • M. Kouhi, Eugenio Oñate
     

    Abstract

    This paper aims at the development of a new stabilization formulation based on the Finite Calculus (FIC) scheme for solving the Euler equations using the Galerkin finite element method (FEM) on unstructured triangular grids. The FIC method is based on expressing the balance of [...]

  • Oñate E., Franci A., Carbonell J.M.
     

    Abstract

    We present a Lagrangian formulation for finite element analysis of quasi-incompressible fluids that has excellent mass preservation features. The success of the formulation lays on a new residual-based stabilized expression of the mass balance equation obtained using the Finite Calculus [...]
  • Eugenio Oñate, J. Marti, P. Ryzhakov, R. Rossi, S.R. Idelsohn
     

    Abstract

    A computational procedure for analysis of the melting, burning and flame spread of polymers under fire conditions is presented. The method, termed Particle Finite Element Method (PFEM), combines concepts from particle-based techniques with those of the standard finite element [...]

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