A variational finite element method for stationary nonlinear fluid—solid interaction

1995 ◽  
Vol 121 (2) ◽  
pp. 347-356 ◽  
Author(s):  
Omar Ghattas ◽  
Xiaogang Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Fluid ◽  
Fluid Solid Interaction ◽  
Element Method

A Lattice Boltzmann-Immersed Boundary-Finite Element Method for Nonlinear Fluid–Solid Interaction Simulation with Moving Objects

2018 ◽  
Vol 15 (07) ◽  
pp. 1850063 ◽  
Author(s):  
Chunlin Gong ◽  
Zhe Fang ◽  
Gang Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann ◽  
Moving Objects ◽  
Moving Boundaries ◽  
Immersed Boundary ◽  
Nonlinear Fem ◽  
Ib Method ◽  
Nonlinear Fluid ◽  
Element Method

A nonlinear finite element method (FEM) was introduced into the immersed boundary (IB) — lattice Boltzmann method (LBM) framework to simulate the nonlinear fluid–solid interactions for moving deformable objects in incompressible fluid flow. The fluid motion is obtained by solving the discrete lattice Boltzmann equation, the moving boundaries of the solids are handled by the IB method, and the nonlinear dynamics of the deforming/moving objects are calculated by nonlinear FEM solvers in which the structural nodes are also set as Lagrangian markers to track the moving boundaries of the structures in IB method. The simulation results indicate that the proposed IB-LBM-FEM simulation framework not only satisfies the nonslip boundary condition well at the boundary points, but also has better accuracy for capturing nonlinearity because of its mature nonlinear FEM solver.

AN APPLICATION OF THE ES-FEM IN SOLID DOMAIN FOR DYNAMIC ANALYSIS OF 2D FLUID–SOLID INTERACTION PROBLEMS

2013 ◽  
Vol 10 (01) ◽  
pp. 1340003 ◽  
Author(s):  
T. NGUYEN-THOI ◽  
P. PHUNG-VAN ◽  
T. RABCZUK ◽  
H. NGUYEN-XUAN ◽  
C. LE-VAN
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Analysis ◽  
Smoothing Technique ◽  
Coupled Method ◽  
Gradient Smoothing Technique ◽  
Triangular Elements ◽  
Gradient Smoothing ◽  
Fluid Solid Interaction ◽  
Element Method

An edge-based smoothed finite element method (ES-FEM-T3) using triangular elements was recently proposed to improve the accuracy and convergence rate of the existing standard finite element method (FEM) for the solid mechanics analyses. In this paper, the ES-FEM-T3 is further extended to the dynamic analysis of 2D fluid–solid interaction problems based on the pressure-displacement formulation. In the present coupled method, both solid and fluid domain is discretized by triangular elements. In the fluid domain, the standard FEM is used, while in the solid domain, we use the ES-FEM-T3 in which the gradient smoothing technique based on the smoothing domains associated with the edges of triangles is used to smooth the gradient of displacement. This gradient smoothing technique can provide proper softening effect, and thus improve significantly the solution of coupled system. Some numerical examples have been presented to illustrate the effectiveness of the proposed coupled method compared with some existing methods for 2D fluid–solid interaction problems.

Analysis of Sealing Properties of Coupled Gas Film Flow Field and Cantilever-Type Foil Deformation

2014 ◽  
Vol 670-671 ◽  
pp. 856-859
Author(s):  
Gang Ma ◽  
Yun Long Du
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Steady State ◽  
The Finite Element Method ◽  
Analysis Model ◽  
The Impact ◽  
Method Analysis ◽  
Fluid Solid Interaction ◽  
Steady State Performance ◽  
Element Method

Aimed at cantilever-type foil cylinder film seal system, finite element method analysis model was established to calculate the deformation of cantilever foil under the gas pressure based on the theory of plate bending. The paper proposed a method to solve fluid-solid interaction problems in cantilever-type foil cylinder film seal system based on the numerical analysis method of cylinder gas film seal. The calculation program using the finite element method to solve fluid-solid interaction problems was developed. Calculation simulation of the film mechanical properties and steady-state performance of sealing system was realized which improved the accuracy of the sealing system performance analysis and provided the basis for the multi-parameters matching design of sealing system. The impact of adding cantilever foil support structure to the steady-state performance of sealing system and the influence of flexible support parameters on the steady-state performance of the sealing system was calculated through the method.

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