Smoothed finite element methods (S-FEM): an overview and recent developments

W Zeng, GR Liu - Archives of Computational Methods in Engineering, 2018 - Springer
The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

Smoothed particle hydrodynamics and its applications in fluid-structure interactions

A Zhang, P Sun, F Ming, A Colagrossi - Journal of Hydrodynamics, Ser. B, 2017 - Elsevier
In ocean engineering, the applications are usually related to a free surface which brings so
many interesting physical phenomena (eg water waves, impacts, splashing jets, etc.). To …

The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired solutions

GR Liu - Frontiers of structural and civil engineering, 2019 - Springer
The smoothed finite element method (S-FEM) was originated by GR Liu by combining some
meshfree techniques with the well-established standard finite element method (FEM). It has …

Immersed smoothed finite element method for two dimensional fluid–structure interaction problems

ZQ Zhang, GR Liu, BC Khoo - International Journal for …, 2012 - Wiley Online Library
SUMMARY A novel method called immersed smoothed FEM using three‐node triangular
element is proposed for two‐dimensional fluid–structure interaction (FSI) problems with …

Immersed smoothed finite element method for fluid–structure interaction simulation of aortic valves

J Yao, GR Liu, DA Narmoneva, RB Hinton… - Computational …, 2012 - Springer
This paper presents a novel numerical method for simulating the fluid–structure interaction
(FSI) problems when blood flows over aortic valves. The method uses the immersed …

A cell‐based smoothed finite element method with semi‐implicit CBS procedures for incompressible laminar viscous flows

C Jiang, ZQ Zhang, X Han, G Liu… - International Journal for …, 2018 - Wiley Online Library
In this paper, the cell‐based smoothed finite element method (CS‐FEM) with the semi‐
implicit characteristic‐based split (CBS) scheme (CBS/CS‐FEM) is proposed for …

A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-spline grids

C Kadapa, WG Dettmer, D Perić - Computer Methods in Applied Mechanics …, 2016 - Elsevier
We present a numerical scheme for fluid–structure interaction based on hierarchical B-
Spline grids and fictitious domain/distributed Lagrange multipliers. The incompressible …

A three dimensional immersed smoothed finite element method (3D IS-FEM) for fluid–structure interaction problems

ZQ Zhang, GR Liu, BC Khoo - Computational Mechanics, 2013 - Springer
A three-dimensional immersed smoothed finite element method (3D IS-FEM) using four-
node tetrahedral element is proposed to solve 3D fluid–structure interaction (FSI) problems …

An edge-based/node-based selective smoothed finite element method using tetrahedrons for cardiovascular tissues

C Jiang, ZQ Zhang, GR Liu, X Han, W Zeng - Engineering Analysis with …, 2015 - Elsevier
This paper presents a three-dimensional selective smoothed finite element method with
edge-based and node-based strain smoothing techniques (3D-ES/NS-FEM) for nonlinear …

A smoothed finite element approach for computational fluid dynamics: applications to incompressible flows and fluid–structure interaction

T He, H Zhang, K Zhang - Computational Mechanics, 2018 - Springer
In this paper the cell-based smoothed finite element method (CS-FEM) is introduced into two
mainstream aspects of computational fluid dynamics: incompressible flows and fluid …