Purpose This study aims to simulate the dendritic growth in Stokes flow by iteratively
coupling a domain and boundary type meshless method. Design/methodology/approach A …

A novel adaptive numerical approach is developed for an accurate and computationally
efficient phase-field modelling of dendritic solidification. The adaptivity is based on the …

We present a robust and efficient approach to meshfree phase-field (PF) simulation of
dendritic solidification on arbitrary domain geometries using smoothed particle …

A new technique for sharp‐interface modeling of dendritic solidification is proposed using a
meshfree interface finite element method such that the liquid–solid interface is represented …

In this paper, we use the newly proposed meshfree interface finite element method (MIFEM)
for numerical simulation of dendritic solidification with fluid flow. In the MIFEM, meshfree …

The current work presents simulations of two-dimensional dendritic solidification via the
meshless Diffuse Approximate Method (DAM). The presumed Stefan problem is studied …

In this paper, an easily implementable immersed interface method based high-resolution
phase-field model is proposed for simulating dendritic growth related problems in …

A numerical procedure is developed to assess and reduce the discretisation-induced
anisotropy in the solution of the phase-field model for dendritic growth. The meshless radial …

Numerical models of solidification including a mushy zone are notoriously inefficient; most of
them are based on formulations that require the coupled solution to the velocity components …

This paper presents a discontinuous Galerkin finite element computational methodology for
solving the coupled phase‐field and heat diffusion equations to predict the microstructure …