Phase field and level set methods for modeling solute precipitation and/or dissolution

TL;DR

This paper compares phase field and level set methods for modeling solute precipitation and dissolution at solid-liquid interfaces, demonstrating their agreement and potential for complex reactive systems.

Contribution

It provides a direct comparison between phase field and level set methods for interface dynamics in precipitation/dissolution processes, validating their effectiveness.

Findings

Phase field solutions converge to sharp-interface limits.

Good agreement between phase field and level set results.

Applicable to complex reactive systems like nuclear waste and mineral processes.

Abstract

The dynamics of solid-liquid interfaces controlled by solute precipitation and/or dissolution due to the chemical reaction at the interface were computed in two dimensions using a phase field models. Sharp-interface asymptotic analysis demonstrated that the phase field solutions should converge to the proper sharp-interface precipitation/dissolution limit. For the purpose of comparison, the numerical solution of the sharp-interface model for solute precipitation/dissolution was directly solved using a level set method. In general, the phase field results are found in good agreement with the level set results for all reaction rates and geometry configurations investigated. Present study supports the applications of both methods to more complicated and realistic reactive systems, including the nuclear waste release and mineral precipitation and dissolution.