A simple algorithm to treat soil erosion in fluid beds is presented. The procedure for modelling frictional contact conditions at fluid-solid and solidsolid interfaces via mesh generation are described. An incremental iterative scheme for the solution of the non linear transient coupled fluid-structure problem is described. The necessary stabilization for dealing with the incompressibility of the fluid is introduced via the finite calculus (FIC) method. A mesh connects the nodes defining the discretized domain where the governing equations are solved, as in the standard FEM.
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. The PFEM uses an updated Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. 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.
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