ViscousFlow.jl

a framework for simulating viscous incompressible flows

The objective of this package is to allow easy setup and fast simulation of incompressible flows, particularly those past bodies in motion. The package provides tools for

• constructing grids and body shapes,
• specifying the relevant parameters and setting their values,
• solving the problem, and finally,
• visualizing and analyzing the results.

The underlying grids are uniform and Cartesian, making use of the CartesianGrids package. This package allows the use of the lattice Green's function (LGF) for inverting the Poisson equation; the diffusion operators are solved with the integrating factor (Liska and Colonius ^[2]). Many of the core aspects of the fluid-body interaction are based on the Method of Immersed Layers ^[1], ImmersedLayers, which is an extension of the immersed boundary projection method ^[3]. The solver is implemented with the ConstrainedSystems package. Tools for creating bodies and their motions are based on the RigidBodyTools package.

Installation

This package works on Julia 1.4 and above and is registered in the general Julia registry. To install from the REPL, type e.g.,

] add ViscousFlow

Then, in any version, type

julia> using ViscousFlow

The plots in this documentation are generated using Plots.jl. You might want to install that, too, to follow the examples.

References