<i>SymPhas</i>—General Purpose Software for Phase‐Field, Phase‐Field Crystal, and Reaction‐Diffusion Simulations

This work develops a new open source application programming interface (API) and software package called SymPhas for simulations of phase-field, phase-field crystal, reaction-diffusion models, supporting up to three dimensions an arbitrary number fields. delivers two novel program capabilities: 1) User specification models from the associated dynamical equations in unconstrained form 2) extensive support integrating user-developed discrete-grid-based numerical solvers into API. The capability specify general is primarily achieved by developing symbolic algebra functionality that can formulate mathematical expressions at compile time; able apply rules such as distribution, factoring, automatic simplification; user-driven expression tree manipulation. A modular design based on C++ template meta-programming paradigm applied library API implementation minimize runtime increase accessibility third party development. written C/C++ emphasizes high-performance capabilities via parallelization with OpenMP standard library. equipped forward Euler solver semi-implicit Fourier spectral solver. Sample implementations several are presented, generated using