Upgridding by Amalgamation: Flow-Adapted Grids for Multiscale Simulations

We discuss the creation of flow-adapted grids by amalgamating cells from an original fine grid, using cell-wise indicator functions to guide the amalgamation directions and the new grid resolution. We present an algorithmic framework with a set of modular components that can be combined in different ways to create fit-for-purpose grids, which can be used to develop highly efficient multi-fidelity transport solvers accompanying multiscale flow solvers.