VortexMethod.jl

VortexMethod.jl is a Julia implementation of 3D Lagrangian vortex-sheet methods for inviscid, incompressible flows with density interfaces. It combines vortex-in-cell spreading, FFT-based Poisson solves, adaptive remeshing, MPI parallelism, and checkpointing tools.

Features

• Lagrangian vortex sheets on triangulated surfaces
• Periodic-domain vortex-in-cell spreading and interpolation
• FFT, MPI, and pencil-FFT velocity solve paths
• Flow-adaptive remeshing and particle management
• Dissipation and baroclinic-interface utilities
• JLD2 checkpoints and time-series snapshots

Install

julia --project -e 'using Pkg; Pkg.instantiate()'

Quick Start

using VortexMethod

grid = RectilinearGrid(size=(25, 50, 99),
                       x=(0, 1),
                       y=(0, 1),
                       z=(-1, 1),
                       topology=(Periodic, Periodic, Periodic))

model = VortexSheetModel(; grid,
                         sheet_size=(64, 64),
                         Γ=(0.0, 1.0, 0.0))

simulation = Simulation(model; Δt=1e-3, stop_iteration=10)
run!(simulation)

Reference

This package follows the regularized vortex sheet method developed in:

Stock, M. J. (2006). A regularized inviscid vortex sheet method for three dimensional flows with density interfaces. Ph.D. Thesis, California Institute of Technology.