This product develops numerical realizations of theoretical models for implementation into multi-physics and engineering codes. This includes the development of various algorithms for solving equations. A key challenge of this element is the implementation of the new models into ASC codes. This product also addresses the issue of modularization and portability of models for the codes, and requires strong integration with the ASC Integrated Code sub-program. Experimental data are required to understand the regimes of applicability, generate parameters, and provide preliminary validation of the models.