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Fluid Cohomology
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cav.19openalex-snapshot
Inviscid and incompressible fluid simulation on triangle meshes
inferredcites →https://doi.org/10.1002/fld.1650010204openalex-snapshot
Projection conditions on the vorticity in viscous incompressible flows
inferredcites →https://doi.org/10.1002/fld.1650081012openalex-snapshot
Petrov‐Galerkin methods on multiply connected domains for the vorticity‐stream function formulation of the incompressible Navier‐Stokes equations
inferredcites →https://doi.org/10.1002/nme.1620190909openalex-snapshot
A stream function‐vorticity finite element formulation for Navier‐Stokes equations in multi‐connected domain
inferredcites →https://doi.org/10.1006/jcph.1996.0066openalex-snapshot
Vorticity Boundary Condition and Related Issues for Finite Difference Schemes
inferredcites →https://doi.org/10.1007/978-1-4939-2441-7openalex-snapshot
Geometry, Mechanics, and Dynamics: The Legacy of Jerry Marsden
inferredcites →https://doi.org/10.1007/978-3-0348-8579-9openalex-snapshot
Numerical Solution of the Incompressible Navier-Stokes Equations
inferredcites →https://doi.org/10.1007/978-3-319-19306-9openalex-snapshot
Computational Electromagnetism
inferredcites →https://doi.org/10.1007/978-3-642-31031-7openalex-snapshot
Vladimir I. Arnold - Collected Works
inferredcites →https://doi.org/10.1007/bf02566074openalex-snapshot
Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique
inferredcites →https://doi.org/10.1007/bfb0095978openalex-snapshot
Hodge Decomposition—A Method for Solving Boundary Value Problems
inferredcites →https://doi.org/10.1007/s00332-014-9192-yopenalex-snapshot
Hamiltonian Dynamics of Several Rigid Bodies Interacting with Point Vortices
inferredcites →https://doi.org/10.1007/s10915-007-9166-4openalex-snapshot
An Unconditionally Stable MacCormack Method
inferredcites →https://doi.org/10.1016/0021-9991(89)90091-0openalex-snapshot
Vorticity boundary conditions and boundary vorticity generation for two-dimensional viscous incompressible flows
inferredcites →https://doi.org/10.1016/0045-7930(73)90027-3openalex-snapshot
A numerical solution of the Navier-Stokes equations using the finite element technique
inferredcites →https://doi.org/10.1016/0167-2789(83)90134-3openalex-snapshot
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids
inferredcites →https://doi.org/10.1016/0167-2789(89)90030-4openalex-snapshot
Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in D dimensions
inferredcites →https://doi.org/10.1016/j.cad.2016.05.004openalex-snapshot
Boundary-aware hodge decompositions for piecewise constant vector fields
inferredcites →https://doi.org/10.1016/j.patrec.2011.10.005openalex-snapshot
A fast algorithm to compute cohomology group generators of orientable 2-manifolds
inferredcites →https://doi.org/10.1016/j.physd.2010.10.012openalex-snapshot
Structure-preserving discretization of incompressible fluids
inferredcites →https://doi.org/10.1070/rm1989v044n03abeh002122openalex-snapshot
On a new way of writing the Navier-Stokes equation. The Hamiltonian formalism
inferredcites →https://doi.org/10.1073/pnas.27.12.570openalex-snapshot
On the Motion of Vortices in Two Dimensions
inferredcites →https://doi.org/10.1080/03091928908208894openalex-snapshot
A sverdrup model of the depth-integrated flow for the world ocean allowing for island circulations
inferredcites →https://doi.org/10.1090/tran/8483openalex-snapshot
The helicity uniqueness conjecture in 3d hydrodynamics
inferredcites →https://doi.org/10.1109/cvpr52688.2022.01811openalex-snapshot
DeepCurrents: Learning Implicit Representations of Shapes with Boundaries
inferredcites →https://doi.org/10.1109/tvcg.2013.95openalex-snapshot
Vortical Inviscid Flows with Two-Way Solid-Fluid Coupling
inferredcites →https://doi.org/10.1115/1.3153709openalex-snapshot
A Mathematical Introduction to Fluid Mechanics
inferredcites →https://doi.org/10.1145/1073368.1073380openalex-snapshot
Simulation of smoke based on vortex filament primitives
inferredcites →https://doi.org/10.1145/1073368.1073406openalex-snapshot
Vortex fluid for gaseous phenomena
inferredcites →https://doi.org/10.1145/1189762.1189766openalex-snapshot
Stable, circulation-preserving, simplicial fluids
inferredcites →https://doi.org/10.1145/1276377.1276435openalex-snapshot
Curl-noise for procedural fluid flow
inferredcites →https://doi.org/10.1145/1778765.1778852openalex-snapshot
Filament-based smoke with vortex shedding and variational reconnection
inferredcites →https://doi.org/10.1145/2077341.2077351openalex-snapshot
Fluid simulation using Laplacian eigenfunctions
inferredcites →https://doi.org/10.1145/2185520.2185600openalex-snapshot
Underwater rigid body dynamics
inferredcites →https://doi.org/10.1145/2366145.2366167openalex-snapshot
Large-scale fluid simulation using velocity-vorticity domain decomposition
inferredcites →https://doi.org/10.1145/2661229.2661261openalex-snapshot
A PPPM fast summation method for fluids and beyond
inferredcites →https://doi.org/10.1145/2766935openalex-snapshot
A stream function solver for liquid simulations
inferredcites →https://doi.org/10.1145/2766982openalex-snapshot
Restoring the missing vorticity in advection-projection fluid solvers
inferredcites →https://doi.org/10.1145/2816795.2818130openalex-snapshot
Model-reduced variational fluid simulation
inferredcites →https://doi.org/10.1145/3309486.3339890openalex-snapshot
Divergence-free and boundary-respecting velocity interpolation using stream functions
inferredcites →https://doi.org/10.1145/3355089.3356546openalex-snapshot
3D hodge decompositions of edge- and face-based vector fields
inferredcites →https://doi.org/10.1145/3386569.3392094openalex-snapshot
Chemomechanical simulation of soap film flow on spherical bubbles
inferredcites →https://doi.org/10.1145/3386569.3392405openalex-snapshot
A model for soap film dynamics with evolving thickness
inferredcites →https://doi.org/10.1145/3450626.3459759openalex-snapshot
Constrained willmore surfaces
inferredcites →https://doi.org/10.1145/3450626.3459781openalex-snapshot
Computing minimal surfaces with differential forms
inferredcites →https://doi.org/10.1145/3450626.3459846openalex-snapshot
Stream-guided smoke simulations
inferredcites →https://doi.org/10.1145/3450626.3459865openalex-snapshot
Incompressible flow simulation on vortex segment clouds
inferredcites →https://doi.org/10.1145/3478513.3480536openalex-snapshot
Spiral-spectral fluid simulation
inferredcites →https://doi.org/10.1145/3550454.3555450openalex-snapshot
A Monte Carlo Method for Fluid Simulation
inferredcites →https://doi.org/10.1145/3550454.3555459openalex-snapshot
Hidden Degrees of Freedom in Implicit Vortex Filaments
inferredcites →https://doi.org/10.1145/882262.882338openalex-snapshot
Flows on surfaces of arbitrary topology
inferredcites →https://doi.org/10.1146/annurev.fl.06.010174.001433openalex-snapshot
Numerical Simulation of Viscous Incompressible Flows
inferredcites →https://doi.org/10.1357/0022240973224085openalex-snapshot
Circulation around islands and ridges
inferredcites →https://doi.org/10.3934/jgm.2009.1.223openalex-snapshot
The geometry and dynamics of interacting rigid bodies and point vortices
inferredcites →https://doi.org/10.48550/arxiv.cs/0207082openalex-snapshot
Dynamic Generators of Topologically Embedded Graphs
inferredcites →https://doi.org/10.48550/arxiv.math/0508341openalex-snapshot
Discrete Exterior Calculus
inferredcites →https://doi.org/10.5555/1070432.1070581openalex-snapshot
Greedy optimal homotopy and homology generators
inferredcites →https://doi.org/10.5860/choice.40-4655openalex-snapshot
Introduction to smooth manifolds
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s10462-025-11462-wopenalex-snapshot
Topological data analysis and topological deep learning beyond persistent homology: a review
inferred← citeshttps://doi.org/10.1016/j.cma.2026.119201openalex-snapshot
Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz–Hodge decompositions
inferred← citeshttps://doi.org/10.1017/jfm.2024.1208openalex-snapshot
Stokes flow of an evolving fluid film with arbitrary shape and topology
inferred← citeshttps://doi.org/10.1039/d5sm00773aopenalex-snapshot
Defect interactions through periodic boundaries in two-dimensional p -atics
inferred← citeshttps://doi.org/10.1063/5.0288059openalex-snapshot
Dynamics of vortex clusters on a torus
inferred← citeshttps://doi.org/10.1093/imrn/rnae106openalex-snapshot
Singular Vortex Pairs Follow Magnetic Geodesics
inferred← citeshttps://doi.org/10.1098/rspa.2024.0418openalex-snapshot
Active nematic fluids on Riemannian two-manifolds
inferred← citeshttps://doi.org/10.1111/cgf.70569openalex-snapshot
Adaptive Fluid Cohomology on Surfaces
inferred← citeshttps://doi.org/10.1134/s1560354724020011openalex-snapshot
On the Interplay Between Vortices and Harmonic Flows: Hodge Decomposition of Euler’s Equations in 2d
inferred← citeshttps://doi.org/10.1137/23m1623860openalex-snapshot
Distributional Hessian and Divdiv Complexes on Triangulation and Cohomology
inferred← citeshttps://doi.org/10.1145/3587423.3595525openalex-snapshot
Exterior Calculus in Graphics: Course Notes for a SIGGRAPH 2023 Course
inferred← citeshttps://doi.org/10.1145/3641519.3657405openalex-snapshot
Velocity-Based Monte Carlo Fluids
inferred← citeshttps://doi.org/10.1145/3658165openalex-snapshot
A Vortex Particle-on-Mesh Method for Soap Film Simulation
inferred← citeshttps://doi.org/10.1145/3680528.3687602openalex-snapshot
Hodge decomposition of vector fields in Cartesian grids
inferred← citeshttps://doi.org/10.1145/3687970openalex-snapshot
Fluid Implicit Particles on Coadjoint Orbits
inferred← citeshttps://doi.org/10.1145/3687996openalex-snapshot
An Eulerian Vortex Method on Flow Maps
inferred← citeshttps://doi.org/10.1145/3721238.3730620openalex-snapshot
Gaussian Fluids: A Grid-Free Fluid Solver based on Gaussian Spatial Representation
inferred← citeshttps://doi.org/10.1145/3730829openalex-snapshot
A Hybrid Near-wall Model for Kinetic Simulation of Turbulent Boundary Layer Flows
inferred← citeshttps://doi.org/10.1145/3730848openalex-snapshot
Creating Fluid-Interactive Virtual Agents by an Efficient Simulator with Local-domain Control
inferred← citeshttps://doi.org/10.1145/3731194openalex-snapshot
Clebsch Gauge Fluid on Particle Flow Maps
inferred← citeshttps://doi.org/10.1145/3731198openalex-snapshot
Fluid Simulation on Vortex Particle Flow Maps
inferred← citeshttps://doi.org/10.1145/3799902.3811230openalex-snapshot
Generic Variational Spacetime Optimization of Vortex Core Manifolds
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