Eulerian
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Related Articles from SNS
Eulerian Motion Guidance: Robust Image Animation via Bidirectional Geometric Consistency
arXiv:2605.06280v4 Announce Type: replace Abstract: Recent advancements in image animation have utilized diffusion models to breathe life into static images. However, existing controllable frameworks typically rely on Lagrangian motion guidance, where optical flow is estimated relative to the initial frame. This paper revisits the same optical-flow primitive through a more local supervision design: we use adjacent-frame Eulerian motion fields to guide generation, where the motion signal...
Lagrangian-Eulerian learning of flow field and trajectories with TrajectoryFlowNet
Announce Type: replace Abstract: Predicting particle transport in complex flows is traditionally achieved by solving the Navier-Stokes equations. While various numerical and experimental methods exist, they typically require deep physical insights and incur high computational costs. Machine learning offers an alternative by learning predictive patterns directly from data, avoiding explicit physical modeling.
Biased sampling reduces particle settling velocities in turbidity currents
arXiv:2606.08241v1 Announce Type: new Abstract: We investigate the mechanisms governing particle settling in turbidity currents using two-way coupled Eulerian-Lagrangian direct numerical simulations. The effective particle settling velocity is decomposed into a fluid velocity sampled at particle positions and a particle-fluid slip velocity. Their Eulerian mean profiles are obtained using a concentration-weighted average of the coarse-grained fields.
A fast and consistent sharp-interface immersed boundary method for moving bodies of arbitrary thicknes
arXiv:2606.09799v1 Announce Type: new Abstract: Immersed boundary methods (IBMs) are widely used to simulate flows around complex geometries and moving bodies, but they often involve a trade-off between precision and computational efficiency. Eulerian formulations require special treatments for moving walls and may generate spurious force oscillations, whereas Lagrangian formulations can suffer from slip errors at the immersed surfaces. We propose a novel sharp-interface IBM for...
A meshless MUSCL method for the BGK-Boltzmann equation
Announce Type: replace Abstract: We present a numerical method for simulating rarefied gases that interact with moving boundaries and rigid bodies. The gas is described by the BGK equation in Lagrangian form and solved using an Arbitrary Lagrangian-Eulerian method, in which grid points move with the local mean velocity of the gas. The main advantage of the moving grid is that the algorithm can deal well with cases where the domain boundaries are time-dependent and the simulation domain...
Topology-Preserving Neural Operator Learning via Hodge Decomposition
arXiv:2605.13834v2 Announce Type: replace Abstract: In this paper, we study solution operators of physical field equations on geometric meshes from a function-space perspective. We reveal that Hodge orthogonality fundamentally resolves spectral interference by isolating unlearnable topological degrees of freedom from learnable geometric dynamics, enabling an additive approximation confined to structure-preserving subspaces. Building on Hodge theory and operator splitting, we derive a...