In this paper, a generalized finite difference method (GFDM) based on the Peridynamic
differential operator (PDDO) is investigated. The weighted moving least square (MLS) …

A novel meshless numerical scheme, based on the generalized finite difference method
(GFDM), is proposed to accurately analyze the two–dimensional shallow water equations …

This paper presents a semi-Lagrangian meshless framework based on the localized radial
basis function collocation method and the second-order explicit Runge–Kutta method (RK2 …

The generalized finite difference method (GFDM) has been proved to be a good meshless
method to solve several linear partial differential equations (PDEs): wave propagation …

Waves, a phenomenon of variable scale fluctuations common to the surface of the ocean,
are the major loads acting on marine floats and play a pivotal role in the study of the …

In this paper, a meshless numerical wave flume, based on the generalized finite difference
method (GFDM), is adopted to accurately and efficiently simulate the interactions of water …

Purpose The purpose of this paper is to apply the Peridynamic differential operator (PDDO)
to incompressible inviscid fluid flow with moving boundaries. Based on the potential flow …

Meshfree solution schemes for the incompressible Navier–Stokes equations are usually
based on algorithms commonly used in finite volume methods, such as projection methods …

This paper presents a numerical framework for the highly accurate solutions of transient heat
conduction problems. The numerical framework discretizes the temporal direction of the …

This study proposes a new method for effectively and accurately simulating sloshing in a two-
dimensional numerical tank. This technique uses the localized Trefftz method (LTM), a …