Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction

Abas, Aizat; Abdul-Rahman, Razi

doi:10.1007/s13369-015-1708-8

Cited by 7 publications

(3 citation statements)

References 37 publications

(42 reference statements)

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“…Therefore, it is not worth to add more cores at some point when the computation time became saturated. This is consistent with the findings by Abas and Abdul-Rahman in which it was found that as the number of cores increases for similar applied problem, at some point it will reach saturation point where most of the computation time is spent on the interconnection and communication between individual cores [ 75 ].…”

Section: Resultssupporting

confidence: 92%

Lattice Boltzmann Model of 3D Multiphase Flow in Artery Bifurcation Aneurysm Problem

Abas

Mokhtar

Ishak

et al. 2016

Computational and Mathematical Methods in Medicine

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This paper simulates and predicts the laminar flow inside the 3D aneurysm geometry, since the hemodynamic situation in the blood vessels is difficult to determine and visualize using standard imaging techniques, for example, magnetic resonance imaging (MRI). Three different types of Lattice Boltzmann (LB) models are computed, namely, single relaxation time (SRT), multiple relaxation time (MRT), and regularized BGK models. The results obtained using these different versions of the LB-based code will then be validated with ANSYS FLUENT, a commercially available finite volume- (FV-) based CFD solver. The simulated flow profiles that include velocity, pressure, and wall shear stress (WSS) are then compared between the two solvers. The predicted outcomes show that all the LB models are comparable and in good agreement with the FVM solver for complex blood flow simulation. The findings also show minor differences in their WSS profiles. The performance of the parallel implementation for each solver is also included and discussed in this paper. In terms of parallelization, it was shown that LBM-based code performed better in terms of the computation time required.

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Section: Resultssupporting

confidence: 92%

Lattice Boltzmann Model of 3D Multiphase Flow in Artery Bifurcation Aneurysm Problem

Abas

Mokhtar

Ishak

et al. 2016

Computational and Mathematical Methods in Medicine

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“…Nadal et al [21] proposed an explicit-type recovery error estimator in the energy norm for the linear elasticity problem using smooth solution. Abbas and Abdul Rahman [22] proposed an energy norm based error estimator for a dual hp-adaptive procedure used in the numerical assessment of fluid-structure interaction. Ulku et al [23] developed a recoverytype a posteriori error estimator for gradient elasticity by revisiting basic equations of the Aifantis gradients elasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Techniques for Mesh Independent Displacement Recovery in Elastic Finite Element Solutions

Ahmed

2021

TFAMENA

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In this study, techniques for mesh dependent and independent displacement recovery for an a posteriori error estimation are presented. The error recovery of the field variable is made by fitting a higher order polynomial to the displacement over a mesh independent patch (support domain) using the moving least square (MLS) interpolation procedure. The mesh dependent recovery procedure is based on the recovery of the displacement over an element patch that consists of all elements surrounding the element under consideration using the least square (LS) interpolation procedure. The two-dimensional benchmark examples are analysed using linear and quadratic triangular elements to demonstrate the effectiveness and reliability of error estimations. Global and elemental errors of a finite element solution in the energy and L 2 norms are calculated directly from the post-processed displacement. The quality of error estimation obtained using the mesh independent displacement recovery technique in terms of convergence properties, effectivity and adaptive meshes under different error norms has been compared with that of the mesh dependent displacement recovery using the MLS interpolation and least square (LS) interpolation procedures. The performance of an adaptive scheme based on a mesh independent error estimator is compared with the adaptive scheme based on a mesh dependent error estimator. The numerical results show that the finite element analysis based on mesh independent recovery is very effective in converging to a predefined accuracy in a solution with a significantly smaller number of degrees of freedom.

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“…Two main approaches can be considered in simulating the underfill flow propagation; either microscale or macroscale formulation. For the macroscale formulation, for instance finite volume method (FVM) or finite element method (FEM), the domain is discretized into volume or element that contains a collection of particles (macro scale) in which the physical properties (velocity, pressure and temperature) are represented by the nodal values [ 8 – 11 ]. Whereas in the microscale approach, the medium is assumed to be made up of particles that is continuously colliding with each other.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Method of Different BGA Orientations on I-Type Dispensing Method

et al. 2016

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This paper studies the three dimensional (3D) simulation of fluid flows through the ball grid array (BGA) to replicate the real underfill encapsulation process. The effect of different solder bump arrangements of BGA on the flow front, pressure and velocity of the fluid is investigated. The flow front, pressure and velocity for different time intervals are determined and analyzed for potential problems relating to solder bump damage. The simulation results from Lattice Boltzmann Method (LBM) code will be validated with experimental findings as well as the conventional Finite Volume Method (FVM) code to ensure highly accurate simulation setup. Based on the findings, good agreement can be seen between LBM and FVM simulations as well as the experimental observations. It was shown that only LBM is capable of capturing the micro-voids formation. This study also shows an increasing trend in fluid filling time for BGA with perimeter, middle empty and full orientations. The perimeter orientation has a higher pressure fluid at the middle region of BGA surface compared to middle empty and full orientation. This research would shed new light for a highly accurate simulation of encapsulation process using LBM and help to further increase the reliability of the package produced.

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Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction

Cited by 7 publications

References 37 publications

Lattice Boltzmann Model of 3D Multiphase Flow in Artery Bifurcation Aneurysm Problem

Lattice Boltzmann Model of 3D Multiphase Flow in Artery Bifurcation Aneurysm Problem

Techniques for Mesh Independent Displacement Recovery in Elastic Finite Element Solutions

Lattice Boltzmann Method of Different BGA Orientations on I-Type Dispensing Method

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