GARM-LS: A Gradient-Augmented Reference-Map Method for Level-Set Fluid Simulation

Li, Xingqiao; Ni, Xingyu; Zhu, Bo; Wang, Bin; Chen, Baoquan

doi:10.1145/3618377

ACM Trans. Graph.

2023

DOI: 10.1145/3618377

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GARM-LS: A Gradient-Augmented Reference-Map Method for Level-Set Fluid Simulation

Xingqiao Li,

Xingyu Ni,

Bo Zhu

et al.

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2024

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Cited by 2 publications

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An Induce-on-Boundary Magnetostatic Solver for Grid-Based Ferrofluids

Ni,

Wang,

Wang

et al. 2024

ACM Trans. Graph.

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This paper introduces a novel Induce-on-Boundary (IoB) solver designed to address the magnetostatic governing equations of ferrofluids. The IoB solver is based on a single-layer potential and utilizes only the surface point cloud of the object, offering a lightweight, fast, and accurate solution for calculating magnetic fields. Compared to existing methods, it eliminates the need for complex linear system solvers and maintains minimal computational complexities. Moreover, it can be seamlessly integrated into conventional fluid simulators without compromising boundary conditions. Through extensive theoretical analysis and experiments, we validate both the convergence and scalability of the IoB solver, achieving state-of-the-art performance. Additionally, a straightforward coupling approach is proposed and executed to showcase the solver's effectiveness when integrated into a grid-based fluid simulation pipeline, allowing for realistic simulations of representative ferrofluid instabilities.

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An Induce-on-Boundary Magnetostatic Solver for Grid-Based Ferrofluids

Ni,

Wang,

Wang

et al. 2024

ACM Trans. Graph.

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An Impulse Ghost Fluid Method for Simulating Two-Phase Flows

Sun,

Chen,

Zeng

et al. 2024

ACM Trans. Graph.

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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.

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GARM-LS: A Gradient-Augmented Reference-Map Method for Level-Set Fluid Simulation

Cited by 2 publications

References 54 publications

An Induce-on-Boundary Magnetostatic Solver for Grid-Based Ferrofluids

An Induce-on-Boundary Magnetostatic Solver for Grid-Based Ferrofluids

An Impulse Ghost Fluid Method for Simulating Two-Phase Flows

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