Benchmark Problems for Phase Field Modeling

Published

January 2, 2017

Author(s)

Andrea Jokisaari, P W. Voorhees, Jonathan E. Guyer, James A. Warren, O. G. Heinonen

Abstract

We present the first set of benchmark problems for phase field models that are being devel- oped by the Center for Heirarchical Materials Design (CHiMaD) and the National Institute of Standards and Technology (NIST). While many scientific research areas use a limited set of well-established software, the growing phase field community continues to develop a wide variety of codes and lacks benchmark problems to consistently evaluate new implementa- tions. Phase field modeling has become significantly more popular as computational power has increased and is now becoming mainstream, driving the need for benchmark problems to validate and verify new implementations. We follow the example set by the micromagnetics community to develop a first set of benchmark problems that test a individual numerical or physical aspects of the codes. In this paper, we focus on the diffusion of solute and the growth and coarsening of a second phase by formulating a simple spinodal decomposition problem and a somewhat more complex Ostwald ripening problem. We demonstrate the utility of benchmark problems by comparing the results of simulations performed with two different adaptive time stepping techniques, and we discuss the needs of future benchmark problems. The development of benchmark problems will enable the results of quantitative phase field models to be confidently incorporated into integrated computational materials science and engineering (ICME), an important goal of the Materials Genome Initiative.

Citation

Computational Materials Science

Pub Type

Journals

Keywords

Phase field model, Benchmark problem

Citation

Jokisaari, A. , Voorhees, P. , Guyer, J. , Warren, J. and Heinonen, O. (2017), Benchmark Problems for Phase Field Modeling, Computational Materials Science (Accessed December 19, 2025)