Meshfree methods are becoming an increasingly popular alternative to mesh-based
methods of numerical simulation. The biggest stated advantage of meshfree methods is the …

In this paper, we introduce a mesh-free numerical framework using the finite pointset method
for the modeling and simulation of injection molding processes. When compared to well …

In this paper, we propose a novel meshfree Generalized Finite Difference Method (GFDM)
approach to discretize PDEs defined on manifolds. Derivative approximations for the same …

Experimental and field investigations for solution mining processes have improved intensely
in recent years. Due to today's computing capacities, three-dimensional simulations of …

In this paper, a new model for the below-boiling point evaporation process with a meshfree
collocation method is developed. In order to capture the phase change process, two different …

We present a meshfree generalized finite difference method for solving Poisson's equation
with a diffusion coefficient that contains jump discontinuities up to several orders of …

We introduce a meshfree collocation framework to model the phase change from liquid to
vapor at or above the boiling point. While typical vaporization or boiling simulations focus on …

Meshfree Lagrangian frameworks for free surface flow simulations do not conserve fluid
volume. Meshfree particle methods like SPH are not mimetic, in the sense that discrete mass …

Classical physical modeling with associated numerical simulation (model-based), and
prognostic methods based on the analysis of large amounts of data (data-driven) are the two …

Over the past few decades, various inverse modeling and data assimilation techniques have
been proposed to integrate observed data into subsurface flow models for optimal …