Tiled Characteristic Maps for Tracking Detailed Liquid Surfaces

Narita, Fumiya; Ando, Ryoichi

Tiled Characteristic Maps for Tracking Detailed Liquid Surfaces

Files

v41i8pp231-242.pdf (1.33 MB)

main_v3_revision.mp4 (186.95 MB)

Date

2022

Authors

Narita, Fumiya
Ando, Ryoichi

Publisher

The Eurographics Association and John Wiley & Sons Ltd.

Abstract

We introduce tiled characteristic maps for level set method that accurately preserves both thin sheets and sharp edges over a long period of time. Instead of resorting to high-order differential schemes, we utilize the characteristics mapping method to minimize numerical diffusion induced by advection. We find that although a single characteristic map could be used to better preserve detailed geometry, it suffers from frequent global re-initialization due to the strong distortions that are locally generated. We show that when multiple localized tiled characteristic maps are used, this limitation is constrained only within tiles; enabling long-term preservation of detailed structures where little distortion is observed. When applied to liquid simulation, we demonstrate that at a reasonably amount of added computational cost, our method retains small-scale high-fidelity (e.g., splashes and waves) that is quickly smeared out or deleted with purely grid-based or particle level set methods.

CCS Concepts: Computing methodologies --> Physical simulation

        @article{10.1111:cgf.14638
,
journal = {Computer Graphics Forum},
title = {{Tiled Characteristic Maps for Tracking Detailed Liquid Surfaces
}},
author = {Narita, Fumiya and 
Ando, Ryoichi
},
year = {2022
},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.
},
ISSN = {1467-8659
},
DOI = {10.1111/cgf.14638
}
}