A coupled finite volume and material point method for two-phase simulation of liquid–sediment and gas–sediment flows
Name
2012.13862.pdf
Description
Accepted version
Size
5.73 MB
Format
Adobe PDF
Checksum (MD5)
eb880fc08e6094554760c7f37c41d1a1
Author(s)
Baumgarten, Aaron S
Couchman, Benjamin LS
Kamrin, Ken
Date Issued
October 1, 2021
Journal
Computer Methods in Applied Mechanics and Engineering
Publisher
Elsevier BV
Citation
Aaron S. Baumgarten, Benjamin L.S. Couchman, Ken Kamrin, A coupled finite volume and material point method for two-phase simulation of liquid–sediment and gas–sediment flows, Computer Methods in Applied Mechanics and Engineering, Volume 384, 2021
Version
Author's final manuscript
Abstract
Mixtures of fluids and granular sediments play an important role in many industrial, geotechnical, and aerospace engineering problems, from waste management and transportation (liquid–sediment mixtures) to dust kick-up below helicopter rotors (gas–sediment mixtures). These mixed flows often involve bulk motion of hundreds of billions of individual sediment particles and can contain both highly turbulent regions and static, non-flowing regions. This breadth of phenomena necessitates the use of continuum simulation methods, such as the material point method (MPM), which can accurately capture these large deformations while also tracking the Lagrangian features of the flow (e.g. the granular surface, elastic stress, etc.). Recent works using two-phase MPM frameworks to simulate these mixtures have shown substantial promise; however, these approaches are hindered by the numerical limitations of MPM when simulating pure fluids. In addition to the well-known particle ringing instability and difficulty defining inflow/outflow boundary conditions, MPM has a tendency to accumulate quadrature errors as materials deform, increasing the rate of overall error growth as simulations progress. In this work, we present an improved, two-phase continuum simulation framework that uses the finite volume method (FVM) to solve the fluid phase equations of motion and MPM to solve the solid phase equations of motion, substantially reducing the effect of these errors and providing better accuracy and stability for long-duration simulations of these mixtures.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.CMA.2021.113940
