Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

The superior accuracy isogeometric analysis (IGA) brought to computations in fluid and solid
mechanics has been yielding higher fidelity in computational aerodynamics. The increased …

The recent explosion of machine learning (ML) and artificial intelligence (AI) shows great
potential in the breakthrough of metal additive manufacturing (AM) process modeling, which …

In this paper, we develop a geometrically flexible technique for computational fluid–structure
interaction (FSI). The motivating application is the simulation of tri-leaflet bioprosthetic heart …

The classic textbook from Pijush Kundu, Fluid Mechanics, has been once again revised and
updated by Dr. David Dowling and Dr. Jesse Capecelatro to better illustrate this important …

In recent years there have been significant developments in the development of stable and
accurate finite element procedures for the numerical approximation of a wide range of fluid …

We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …

This paper builds on a recently developed immersogeometric fluid–structure interaction
(FSI) methodology for bioprosthetic heart valve (BHV) modeling and simulation. It enhances …

The immersed boundary method is a methodology for dealing with boundary conditions at
fluid–fluid and fluid–solid interfaces. The immersed boundary method has been attracting …

Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …