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EDGE: Epsilon-Difference Gradient Evolution for Buffer-Free Flow Maps

Zhiqi Li*, Ruicheng Wang*, Junlin Li*, Duowen Chen, Sinan Wang, Bo Zhu (* Co-first Authors)

We propose the Epsilon Difference Gradient Evolution (EDGE) method for accurate flow-map calculation on grids via Hermite interpolation without using velocity buffers. Our key idea is to integrate Gradient Evolution for accurate first-order derivatives and a tetrahedron-based Epsilon Difference scheme to compute higher-order derivatives with reduced memory consumption. EDGE achieves O(1) memory usage, independent of flow map length, while maintaining vorticity preservation comparable to buffer-based methods. We validate our methods across diverse vortical flow scenarios, demonstrating up to 90% backward map memory reduction and significant computational efficiency, broadening the applicability of flow-map methods to large-scale and complex fluid simulations.

EDGE: Epsilon-Difference Gradient Evolution for Buffer-Free Flow Maps

Posted by christopherbatty on June 9th, 2025 Posted in Uncategorized

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