Adaptive multi-resolution method for compressible multi-phase flows with sharp interface model and pyramid data structure

In this work, we present a block-based multi-resolution method coupled with a sharp interface model (MR-SIM) for the high-resolution simulation of multi-phase flows, where data structure and adaptive multi-resolution approach are tailored to achieve high computational efficiency. The method updates the dynamic topological data structure according to two separate procedures: (i) tracking of the interface position, and (ii) MR analysis on each individual phase. High efficiency is achieved by employing a storage-and-operation-splitting pyramid data structure, in which any two adjacent blocks partially overlap while the overlapping parts share the same data in memory. The non-overlapping data are distributed into fine-grained data packages and stored within a memory pool. The proposed narrow-band technique for the level-set-based interface method also increases the computational and memory efficiency greatly by restricting all interface-relevant data and operations to a neighborhood of the interface. A broad set of test simulations is carried out to demonstrate the potential and performance of the MR-SIM approach.