Optimal Transport for Fluid Simulation New and Old
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Date
2026
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Recently introduced, numerical methods for fluid simulation relying on Optimal Transport offer new guarantees as compared to classical algorithms. The fluid is modeled with a Lagrangian point of view, directly tracking the motion of the matter. In contrast with previous methods, they are able to enforce volume preservation at each step of the simulation through the resolution of an Optimal Transport problem. Interestingly, this formulation enables the use of an unfamiliar geometric representation, characterized by a generalized Voronoi diagram, offering new possibilities. This tutorial will start with the theoretical foundations of these numerical methods and present the main computational strategies and applications.
Description
@inproceedings{10.2312:egt.20261001,
booktitle = {Eurographics 2026 - Tutorials},
editor = {},
title = {{Optimal Transport for Fluid Simulation New and Old}},
author = {Plateau-Holleville, Cyprien and Levy, Bruno},
year = {2026},
publisher = {The Eurographics Association},
ISSN = {1017-4656},
ISBN = {978-3-03868-267-7},
DOI = {10.2312/egt.20261001}
}