A high-order edge-based smoothed finite element (ES-FEM) method with four-node triangular element for solid mechanics problems

X Cui, GR Liu, ZR Li - Engineering Analysis with Boundary Elements, 2023 - Elsevier
In this paper, a high-order edge-based smoothed finite element method (ES-FEM) is
proposed using special triangular elements with four nodes (T4). The T4 elements are …

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 …

A coupled cell-based smoothed finite element method and discrete phase model for incompressible laminar flow with dilute solid particles

T Wang, G Zhou, C Jiang, F Shi, X Tian… - Engineering Analysis with …, 2022 - Elsevier
In this paper, the cell-based smoothed finite element method (CS-FEM) empowered by the
discrete phase model (DPM) is developed to solve dilute solid particles movements induced …

A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element

M Liu, G Gao, H Zhu, C Jiang, G Liu - Engineering Analysis with Boundary …, 2021 - Elsevier
Smoothed finite element method (S-FEM) has attracted lots of attentions in the fields of
computational mechanics, especially in solid mechanics and heat transfer problems. In …

Modeling of particle-laden flows with n-sided polygonal smoothed finite element method and discrete phase model

G Zhou, T Wang, C Jiang, F Shi, Y Wang… - Applied Mathematical …, 2023 - Elsevier
In this work, an n-sided polygonal smoothed finite element method (nSFEM) using mean
value shape function for concave polygonal element coupled with the discrete phase model …

A finite element method with cover functions for underwater acoustic propagation problems

Q Gui, G Zhang, Y Chai, W Li - Ocean Engineering, 2022 - Elsevier
To improve the performance of the classical finite element method (FEM) in acoustic
analyses, in this work the interpolation cover functions are incorporated into the standard …

A cell-based smoothed finite element model for the analysis of turbulent flow using realizable k-ε model and mixed meshes

M Liu, C Jiang, BC Khoo, H Zhu, G Gao - Journal of Computational Physics, 2024 - Elsevier
Smoothed finite element method (S-FEM) has been widely employed in computational
mechanics, particularly in computational solid mechanics (CSM) and, to a lesser extent, in …

N-Side cell-based smoothed finite element method for incompressible flow with heat transfer problems

C Jiang, C Hong, T Wang, G Zhou - Engineering Analysis with Boundary …, 2023 - Elsevier
In this paper, an n-sided cell-based smoothed finite element method (nCS-FEM) is
presented to solve the convective heat transfer in incompressible viscous fluid flow. The …

A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/Fractional step method for incompressible flow

M Liu, G Gao, H Zhu, C Jiang - Engineering Analysis with Boundary …, 2021 - Elsevier
In this paper, the exhaustive usage and implementation of Streamline-Upwind/Petrov-
Galerkin method combining with Stabilized Pressure Gradient Projection (SUPG/SPGP) for …

Modeling fluid–structure interaction with the edge-based smoothed finite element method

T He - Journal of Computational Physics, 2022 - Elsevier
We address in this work the numerical modeling of fluid–structure interaction (FSI) with the
edge-based smoothed finite element method (ESFEM). We prove that the smoothed …