| About this Abstract |
| Meeting |
TMS Specialty Congress 2025
|
| Symposium
|
The 7th International Congress on 3D Materials Science (3DMS 2025)
|
| Presentation Title |
Fouriera: Automated Spectral Methods for Multiphysics Problems via Symbolic Computing |
| Author(s) |
Bo Wang, Tae Wook Heo, Kyle Pietrzyk |
| On-Site Speaker (Planned) |
Bo Wang |
| Abstract Scope |
Multiphysics modeling of functional materials in the continuum scale can often be formulated into a set of partial differential equations (PDEs). Such models, along with the numerical recipes required to solve them efficiently, quickly become intractable as the model complexity grows. Despite several available software packages, most of them are based on the finite-element method, yet developing a numerical solver based on the spectral method for multiphysics problem remains a time-consuming task prone to human error.
Here, we propose a method to automate the implementation of Fourier spectral methods to solve general PDEs using symbolic computing. By automating the tedious analytical work required to implement the numerical methods, Fouriera enables users to solve PDEs conveniently and interactively for multiphysics problems in an efficient manner through a graphical user interface. In this presentation, I will introduce the infrastructure of Fouriera and demonstrate its multiphysics modeling applications, such as in phase-field modeling. |
| Proceedings Inclusion? |
Undecided |