Free-slip boundary conditions for simulating free-surface incompressible flows through the particle finite element method

2016 ◽  
Vol 110 (10) ◽  
pp. 921-946 ◽  
Author(s):  
Marco Lucio Cerquaglia ◽  
Geoffrey Deliége ◽  
Romain Boman ◽  
Vincent Terrapon ◽  
Jean-Philippe Ponthot
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Boundary Conditions ◽  
Incompressible Flows ◽  
Slip Boundary Conditions ◽  
Particle Finite Element Method ◽  
Slip Boundary ◽  
Element Method

scholarly journals MATHEMATICAL MODELING OF NON-STATIONARY ELASTIC WAVES STRESSES UNDER A CONCENTRATED VERTICAL EXPOSURE IN THE FORM OF DELTA FUNCTIONS ON THE SURFACE OF THE HALF-PLANE (LAMB PROBLEM)

2019 ◽  
Vol 15 (2) ◽  
pp. 111-124
Author(s):  
Vyacheslav Musayev
Keyword(s):  
Numerical Simulation ◽  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Boundary Conditions ◽  
Half Plane ◽  
Rayleigh Waves ◽  
The Finite Element Method ◽  
Initial And Boundary Conditions ◽  
Element Method

The problem of numerical simulation of longitudinal, transverse and surface waves on the free surface of an elastic half-plane is considered. The change of the elastic contour stress on the free surface of the half­plane is given. To solve the two-dimensional unsteady dynamic problem of the mathematical theory of elasticity with initial and boundary conditions, we use the finite element method in displacements. Using the finite element method in displacements, a linear problem with initial and boundary conditions resulted in a linear Cauchy prob­lem. Some information on the numerical simulation of elastic stress waves in an elastic half-plane under concen­trated wave action in the form of a Delta function is given. The amplitude of the surface Rayleigh waves is sig­nificantly greater than the amplitudes of longitudinal, transverse and other waves with concentrated vertical ac­tion in the form of a triangular pulse on the surface of the elastic half-plane. After the surface Rayleigh waves there is a dynamic process in the form of standing waves.

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