scholarly journals Calculation of Vortex Effect in the Modified Numerical Scheme of Vortex-Element Method

2012 ◽  
Author(s):  
В.С. Морева ◽  
Keyword(s):  
Numerical Scheme ◽  
Vortex Effect ◽  
Vortex Element ◽  
Element Method

scholarly journals Modeling Free Surface Flows Using Stabilized Finite Element Method

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Deepak Garg ◽  
Antonella Longo ◽  
Paolo Papale
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Numerical Scheme ◽  
Stokes Equations ◽  
Fluid Velocity ◽  
Computer Code ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Element Method

This work aims to develop a numerical wave tank for viscous and inviscid flows. The Navier-Stokes equations are solved by time-discontinuous stabilized space-time finite element method. The numerical scheme tracks the free surface location using fluid velocity. A segregated algorithm is proposed to iteratively couple the fluid flow and mesh deformation problems. The numerical scheme and the developed computer code are validated over three free surface problems: solitary wave propagation, the collision between two counter moving waves, and wave damping in a viscous fluid. The benchmark tests demonstrate that the numerical approach is effective and an attractive tool for simulating viscous and inviscid free surface flows.

An iterative numerical scheme for the calculation of the effective moduli of heterogeneous materials with finite element method

2011 ◽  
Vol 46 (13) ◽  
pp. 1561-1570 ◽  
Author(s):  
JQ Bao ◽  
Q Yang ◽  
WF Yuan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Scheme ◽  
Body Force ◽  
Heterogeneous Material ◽  
Original Material ◽  
Effective Moduli ◽  
Two Systems ◽  
Local Body ◽  
Element Method

An iterative numerical scheme to calculate the effective moduli of a heterogeneous material is presented based on the finite element method. The effect of the inclusions on the effective moduli of the heterogeneous material is embodied in a virtual local body force caused by eigenstrain within the equivalent homogeneous material in the scheme. The effective moduli of the original material are achieved by iteratively calculating the virtual local body force with the adoption of two systems of mesh in the scheme. The meshes in the first system discretize the whole domain and serve as the finite element meshes to obtain the solution, and the meshes in the second system discretize the inclusions. The difficulty of mesh generation due to inclusions is overcome by the complete independence between the two systems of mesh. Examples are presented to verify the validity of the scheme, and its convergence rate is also discussed. Application of the scheme is conducted to study the effect of inclusion shapes on the anisotropy of composite.

scholarly journals Bluff Body Flow Simulation Using a Vortex Element Method

2004 ◽  
Author(s):  
Anthony Leonard ◽  
Phillippe Chatelain ◽  
Michael Rebel
Keyword(s):  
Bluff Body ◽  
Flow Simulation ◽  
Vortex Element ◽  
Bluff Body Flow ◽  
Element Method
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