A level-set based space-time finite element approach to the modelling of solidification and melting processes

05/07/2021
by   Leonardo Boledi, et al.
0

We present a strategy for the numerical solution of convection-coupled phase-transition problems, with focus on solidification and melting. We solve for the temperature and flow fields over time. The position of the phase-change interface is tracked with a level-set method, which requires knowledge of the heat-flux discontinuity at the interface. In order to compute the heat-flux jump, we build upon the ghost-cell approach and extend it to the space-time finite element method. This technique does not require a local enrichment of the basis functions, such as methods like extended finite elements, and it can be easily implemented in already existing finite element codes. Verification cases for the 1D Stefan problem and the lid-driven cavity melting problem are provided. Furthermore, we show a more elaborate 2D case in view of complex applications.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

03/21/2019

Simplex space-time meshes in two-phase flow simulations

In this paper, we present the numerical solution of two-phase flow probl...
03/30/2021

Space-time finite element methods for the initial temperature reconstruction

This work is devoted to the reconstruction of the initial temperature in...
01/10/2018

Monolithic simulation of convection-coupled phase-change - verification and reproducibility

Phase interfaces in melting and solidification processes are strongly af...
11/30/2021

Space-time hp finite elements for heat evolution in laser-based additive manufacturing

The direct numerical simulation of metal additive manufacturing processe...
11/16/2021

Inverse heat conduction to model and optimise a geothermal field

The design of heat exchanger fields is a key phase to ensure the long-te...
02/06/2020

An Object-Oriented Library for Heat Transfer Modelling and Simulation in Open Cell Foams

Metallic open cell foams have multiple applications in industry, e. g. a...
05/12/2020

Instabilities driven by frontal polymerization in thermosetting polymers and composites

Frontal Polymerization (FP) was recently demonstrated as a faster, more ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.