We present a general formulation for modeling bed erosion in free surface flows using the particl... more We present a general formulation for modeling bed erosion in free surface flows using the particle finite element method (PFEM). The key feature of the PFEM is the use of an updated Lagrangian description to model the motion of nodes (particles) in domains containing fluid and solid subdomains. Nodes are viewed as material points (called particles) which can freely move and even separate from the fluid and solid subdomains representing, for instance, the effect of water drops or soil/rock particles. A mesh connects the nodes defining the discretized domain in the fluid and solid regions where the governing equations, expressed in an integral form, are solved as in the standard FEM. The necessary stabilization for dealing with the incompressibility of the fluid is introduced via the finite calculus (FIC) method. An incremental iterative scheme for the solution of the nonlinear transient coupled fluid-structure problem is described. The erosion mechanism is modeled by releasing the material adjacent to the bed surface according to the frictional work generated by the fluid shear stresses. The released bed material is subsequently transported by the fluid flow. Examples of application of the PFEM to solve a number of bed erosion problems involving large motions of the free surface and splashing of waves are presented.
We present some developments in the formulation of the Particle Finite
Element Method (PFEM) for ... more We present some developments in the formulation of the Particle Finite Element Method (PFEM) for analysis of complex coupled problems on fluid and solid mechanics in engineering accounting for fluid-structure interaction and coupled thermal effects, material degradation and surface wear. The PFEM uses an updated Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. Nodes are viewed as material points which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations are solved, as in the standard FEM. The necessary stabilization for dealing with the incompressibility of the fluid is introduced via the finite calculus (FIC) method. An incremental iterative scheme for the solution of the non linear transient coupled fluid-structure problem is described. The procedure for modelling frictional contact conditions at fluid-solid and solid-solid interfaces via mesh generation are described. A simple algorithm to treat soil erosion in fluid beds is presented. An straight forward extension of the PFEM to model excavation processes and wear of rock cutting tools is described. Examples of application of the PFEM to solve a wide number of coupled problems in engineering such as the effect of large waves on breakwaters and bridges, the large motions of floating and submerged bodies, bed erosion in open channel flows, the wear of rock cutting tools during excavation and tunneling and the melting, dripping and burning of polymers in fire situations are presented.
We present a general formulation for modeling bed erosion in free surface flows using the particl... more We present a general formulation for modeling bed erosion in free surface flows using the particle finite element method (PFEM). The key feature of the PFEM is the use of an updated Lagrangian description to model the motion of nodes (particles) in domains containing fluid and solid subdomains. Nodes are viewed as material points (called particles) which can freely move and even separate from the fluid and solid subdomains representing, for instance, the effect of water drops or soil/rock particles. A mesh connects the nodes defining the discretized domain in the fluid and solid regions where the governing equations, expressed in an integral form, are solved as in the standard FEM. The necessary stabilization for dealing with the incompressibility of the fluid is introduced via the finite calculus (FIC) method. An incremental iterative scheme for the solution of the nonlinear transient coupled fluid-structure problem is described. The erosion mechanism is modeled by releasing the material adjacent to the bed surface according to the frictional work generated by the fluid shear stresses. The released bed material is subsequently transported by the fluid flow. Examples of application of the PFEM to solve a number of bed erosion problems involving large motions of the free surface and splashing of waves are presented.
We present some developments in the formulation of the Particle Finite
Element Method (PFEM) for ... more We present some developments in the formulation of the Particle Finite Element Method (PFEM) for analysis of complex coupled problems on fluid and solid mechanics in engineering accounting for fluid-structure interaction and coupled thermal effects, material degradation and surface wear. The PFEM uses an updated Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. Nodes are viewed as material points which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations are solved, as in the standard FEM. The necessary stabilization for dealing with the incompressibility of the fluid is introduced via the finite calculus (FIC) method. An incremental iterative scheme for the solution of the non linear transient coupled fluid-structure problem is described. The procedure for modelling frictional contact conditions at fluid-solid and solid-solid interfaces via mesh generation are described. A simple algorithm to treat soil erosion in fluid beds is presented. An straight forward extension of the PFEM to model excavation processes and wear of rock cutting tools is described. Examples of application of the PFEM to solve a wide number of coupled problems in engineering such as the effect of large waves on breakwaters and bridges, the large motions of floating and submerged bodies, bed erosion in open channel flows, the wear of rock cutting tools during excavation and tunneling and the melting, dripping and burning of polymers in fire situations are presented.
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Papers by M. Ángel
Element Method (PFEM) for analysis of complex coupled problems on fluid and
solid mechanics in engineering accounting for fluid-structure interaction and coupled
thermal effects, material degradation and surface wear. The PFEM uses an updated
Lagrangian description to model the motion of nodes (particles) in both the fluid
and the structure domains. Nodes are viewed as material points which can freely
move and even separate from the main analysis domain representing, for instance,
the effect of water drops. A mesh connects the nodes defining the discretized domain
where the governing equations are solved, as in the standard FEM. The necessary
stabilization for dealing with the incompressibility of the fluid is introduced via the
finite calculus (FIC) method. An incremental iterative scheme for the solution of the
non linear transient coupled fluid-structure problem is described. The procedure for
modelling frictional contact conditions at fluid-solid and solid-solid interfaces via
mesh generation are described. A simple algorithm to treat soil erosion in fluid
beds is presented. An straight forward extension of the PFEM to model excavation
processes and wear of rock cutting tools is described. Examples of application of
the PFEM to solve a wide number of coupled problems in engineering such as the
effect of large waves on breakwaters and bridges, the large motions of floating and
submerged bodies, bed erosion in open channel flows, the wear of rock cutting tools
during excavation and tunneling and the melting, dripping and burning of polymers
in fire situations are presented.
Element Method (PFEM) for analysis of complex coupled problems on fluid and
solid mechanics in engineering accounting for fluid-structure interaction and coupled
thermal effects, material degradation and surface wear. The PFEM uses an updated
Lagrangian description to model the motion of nodes (particles) in both the fluid
and the structure domains. Nodes are viewed as material points which can freely
move and even separate from the main analysis domain representing, for instance,
the effect of water drops. A mesh connects the nodes defining the discretized domain
where the governing equations are solved, as in the standard FEM. The necessary
stabilization for dealing with the incompressibility of the fluid is introduced via the
finite calculus (FIC) method. An incremental iterative scheme for the solution of the
non linear transient coupled fluid-structure problem is described. The procedure for
modelling frictional contact conditions at fluid-solid and solid-solid interfaces via
mesh generation are described. A simple algorithm to treat soil erosion in fluid
beds is presented. An straight forward extension of the PFEM to model excavation
processes and wear of rock cutting tools is described. Examples of application of
the PFEM to solve a wide number of coupled problems in engineering such as the
effect of large waves on breakwaters and bridges, the large motions of floating and
submerged bodies, bed erosion in open channel flows, the wear of rock cutting tools
during excavation and tunneling and the melting, dripping and burning of polymers
in fire situations are presented.