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An Impulse Ghost Fluid Method for Simulating Two-Phase Flows

delete2024-11-19
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OA
AI
Y
Yuchen Sun *
L
L B Chen
T
Tao Du
S
Shiying Xiong
B
Bo Zhu
DOI:10.1145/3687963delete
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Abstract

Abstract

En 中文
This paper introduces a two-phase interfacial fluid model based on the impulse variable to capture complex vorticity-interface interactions. Our key idea is to leverage bidirectional flow map theory to enhance the transport accuracy of both vorticity and interfaces simultaneously and address their coupling within a unified Eulerian framework. At the heart of our framework is an impulse ghost fluid method to solve the two-phase incompressible fluid characterized by its interfacial dynamics. To deal with the history-dependent jump of gauge variables across a dynamic interface, we develop a novel path integral formula empowered by spatiotemporal buffers to convert the history- dependent jump condition into a geometry-dependent jump condition when projecting impulse to velocity. We demonstrate the efficacy of our approach in simulating and visualizing several interface-vorticity interaction problems with cross-phase vortical evolution, including interfacial whirlpool, vortex ring reflection, and leapfrogging bubble rings.
Keywords:
two-phase flow
flow map
gauge method

Journal

ACM Transactions on Graphics cover
ACM Transactions on Graphics
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Georgia Institute of Technology
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university system of georgia
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zhejiang university
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