Authors: | Chen, X.; Tran, A. P.; Elkin, R.; Benveniste, H.; Tannenbaum, A. R. |
Article Title: | Visualizing fluid flows via regularized optimal mass transport with applications to neuroscience |
Abstract: | The regularized optimal mass transport (rOMT) problem adds a diffusion term to the continuity equation in the original dynamic formulation of the optimal mass transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT model serves as a powerful tool in computational fluid dynamics for visualizing fluid flows in the glymphatic system. In the present work, we describe how to modify the previous numerical method for efficient implementation, resulting in a significant reduction in computational runtime. Numerical results applied to synthetic and real-data are provided. © 2023, The Author(s). |
Keywords: | fluid dynamics; flow of fluids; numerical methods; computational framework; transport properties; fluid-flow; optimal mass transport; continuity equations; mass transport model; fluid-dynamics; regularized optimal mass transport; computational fluid dynamics; diffusion in liquids; dynamics formulation; efficient implementation; transport problems |
Journal Title: | Journal of Scientific Computing |
Volume: | 97 |
Issue: | 2 |
ISSN: | 0885-7474 |
Publisher: | Springer New York LLC |
Date Published: | 2023-11-01 |
Start Page: | 26 |
Language: | English |
DOI: | 10.1007/s10915-023-02337-9 |
PROVIDER: | scopus |
PMCID: | PMC11210720 |
PUBMED: | 38938875 |
DOI/URL: | |
Notes: | Article -- MSK corresponding author is Xinan Chen -- Source: Scopus |