Lecture

Numerical Analysis of Incompressible Fluid Flow

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Description

This lecture introduces the software system Channelflow for numerical analysis of incompressible fluid flow in channel geometries. It covers the development of Channelflow 2.0, based on the serial channelflow-1.5 software. The lecture explains the use of spectral methods for accurate simulations, the NSOLVER library for finding invariant solutions, and the CHFLOW library for creating fluid simulation code. It also details the prerequisites for installing Channelflow, including CMake, C++11 compiler, FFTW, Eigen3, MPI, NetCDF, and HDF5. The lecture emphasizes the importance of parallelization and the Python wrapper for Channelflow functions.

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Ontological neighbourhood

Physics

Mechanics: Fluid mechanics

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Incompressible flow

In fluid mechanics or more generally continuum mechanics, incompressible flow (isochoric flow) refers to a flow in which the material density is constant within a fluid parcel—an infinitesimal volume that moves with the flow velocity. An equivalent statement that implies incompressibility is that the divergence of the flow velocity is zero (see the derivation below, which illustrates why these conditions are equivalent). Incompressible flow does not imply that the fluid itself is incompressible.

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