docs:classes:flowfield

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The FlowField class represents vector-valued fields of the form

and also scalar and tensor fields with appropriate changes in the dimensionality of the coefficients.
The barred T function is a Chebyshev polynomial scaled to fit the domain y ∈ [a,b]. ^{1)}

In channelflow programming, fields such as velocity, pressure, stress tensors, vorticity, etc. are stored as variables of type FlowField. The main functionality of the FlowField class is

- algebraic and differential operations, +/-, +=, ∇, ∇
^{2}, etc. - transforming back and forth between spectral coefficients and gridpoint values
- serving as input to DNS algorithms, which map velocity fields forward in time: u(x,t) → u(x, t+Δt)

FlowFields are initialized with gridsize and cellsize parameters, read from disk, or assigned from computations

FlowField f; // null value, 0-d field on 0x0x0 grid FlowField u(Nx, Ny, Nz, Nd, Lx, Lz, a, b); // Nd-dim field on Nx x Ny x Nz grid, [0,Lz]x[a,b]x[0,Lz] FlowField g(Nx, Ny, Nz, Nd, 2, Lx, Lz, a, b); // Nd-dim 2-tensor FlowField h("h"); // read from file "h.ff" FlogField omega = curl(u);

docs/classes/flowfield.1234810300.txt.gz · Last modified: 2009/02/16 10:51 by gibson