A level-set immersed boundary method (LS-IBM) to study reactive transport in complex topologies with moving interfaces

We have developed a simulation framework, LS-IBM, for simulating reactive transport in porous media where a solid-fluid interface is in motion. We employ the level-set method to track the interface movement due to surface reactions while the immersed boundary method captures momentum and mass transport at the interface. This approach allows for highly accurate modeling of transport near evolving boundaries on Cartesian grids, ensuring second-order spatial accuracy. Since the interface velocity is only defined at the moving boundary, an interface velocity propagation method is employed. We conduct validation tests of the LS-IBM framework for both flow and transport scenarios near an immersed object with reactive boundaries, as well as for crystal growth. Overall, the LS-IBM approach presents a robust and powerful solution for modeling complex problems that involve moving reactive interfaces within complicated domains.