Fast Multiple-fluid Simulation Using Helmholtz Free Energy

Authors: Yang, T., Chang, J., Ren, B., Lin, M.C., Zhang, J.J. and Hu, S.

http://eprints.bournemouth.ac.uk/22771/

Journal: ACM Transactions on Graphics

ISSN: 1557-7368

Multiple-fluid interaction is an interesting and common visual phenomenon we often observe. In this paper, we present an energybased Lagrangian method that expands the capability of existing multiple-fluid methods to handle various phenomena, such as extraction, partial dissolution, etc. Based on our user-adjusted Helmholtz free energy functions, the simulated fluid evolves from high-energy states to low-energy states, allowing flexible capture of various mixing and unmixing processes. We also extend the original Cahn-Hilliard equation to be better able to simulate complex fluid-fluid interaction and rich visual phenomena such as motionrelated mixing and position based pattern. Our approach is easily integrated with existing state-of-the-art smooth particle hydrodynamic (SPH) solvers and can be further implemented on top of the position based dynamics (PBD) method, improving the stability and incompressibility of the fluid during Lagrangian simulation under large time steps. Performance analysis shows that our method is at least 4 times faster than the state-of-the-art multiple-fluid method. Examples are provided to demonstrate the new capability and effectiveness of our approach.

This data was imported from Scopus:

Authors: Yang, T., Chang, J., Ren, B., Lin, M.C., Zhang, J.J. and Hu, S.M.

http://eprints.bournemouth.ac.uk/22771/

Journal: ACM Transactions on Graphics

Volume: 34

Issue: 6

eISSN: 1557-7368

ISSN: 0730-0301

DOI: 10.1145/2816795.2818117

Copyright 2015 ACM. Multiple-fluid interaction is an interesting and common visual phenomenon we often observe. In this paper, we present an energy-based Lagrangian method that expands the capability of existing multiple-fluid methods to handle various phenomena, such as extraction, partial dissolution, etc. Based on our user-adjusted Helmholtz free energy functions, the simulated fluid evolves from high-energy states to low-energy states, allowing flexible capture of various mixing and unmixing processes. We also extend the original Cahn-Hilliard equation to be better able to simulate complex fluid-fluid interaction and rich visual phenomena such as motion-related mixing and position based pattern. Our approach is easily integrated with existing state-of-the-art smooth particle hydrodynamic (SPH) solvers and can be further implemented on top of the position based dynamics (PBD) method, improving the stability and incompressibility of the fluid during Lagrangian simulation under large time steps. Performance analysis shows that our method is at least 4 times faster than the state-of-the-art multiple-fluid method. Examples are provided to demonstrate the new capability and effectiveness of our approach.

This data was imported from Web of Science (Lite):

Authors: Yang, T., Chang, J., Ren, B., Lin, M.C., Zhang, J.J. and Hu, S.-M.

http://eprints.bournemouth.ac.uk/22771/

Journal: ACM TRANSACTIONS ON GRAPHICS

Volume: 34

Issue: 6

eISSN: 1557-7368

ISSN: 0730-0301

DOI: 10.1145/2816795.2818117

The data on this page was last updated at 04:59 on August 21, 2018.