@article{Cao:2022:CSMPM,
author = {Cao, Yadi and Chen, Yunuo and Li, Minchen and Yang, Yin and Zhang, Xinxin and Aanjaneya, Mridul and Jiang, Chenfanfu},
title = {An Efficient B-Spline Lagrangian/Eulerian Method for Compressible Flow, Shock Waves, and Fracturing Solids},
year = {2022},
issue_date = {October 2022},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
volume = {41},
number = {5},
issn = {0730-0301},
url = {https://doi.org/10.1145/3519595},
doi = {10.1145/3519595},
abstract = {This study presents a new method for modeling the interaction between compressible flow, shock waves, and deformable structures, emphasizing destructive dynamics. Extending advances in time-splitting compressible flow and the Material Point Methods (MPM), we develop a hybrid Eulerian and Lagrangian/Eulerian scheme for monolithic flow-structure interactions. We adopt the second-order WENO scheme to advance the continuity equation. To stably resolve deforming boundaries with sub-cell particles, we propose a blending treatment of reflective and passable boundary conditions inspired by the theory of porous media. The strongly coupled velocity-pressure system is discretized with a new mixed-order finite element formulation employing B-spline shape functions. Shock wave propagation, temperature/density-induced buoyancy effects, and topology changes in solids are unitedly captured.},
journal = {ACM Trans. Graph.},
month = {may},
articleno = {169},
numpages = {13},
keywords = {MPM, FEM, Compressible fluids, FSI, gas}
}