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Two-dimensional periodic flows

Pseudo-spectral simulation in Julia

Ricardo M. S. Rosa

1. Mathematical Formulation

1.1. Pressure-velocity formulation

1.2. Vorticity formulation

1.3. Basdevant reduction

1.4. Stream function

2. Spectral Formulation

3. Discrete Fourier Transform

4. Physical Quantities

5. Two-dimensional turbulence

6. FFTW Tests

6.1. Direct and inverse FFTW

6.2. FFTW plans

6.3. Benchmarking flags for FFTW plans

6.4. Approximations of the bilinear term

7. Evolution Tests

7.1. Evolution via method of lines

8. Simulations

1.3. Basdevant reduction ← → 6.1. Direct and inverse FFTW

1.4. Stream function

1.3. Basdevant reduction ← → 6.1. Direct and inverse FFTW

MIT License (Ricardo M. S. Rosa)

Last modified: March 24, 2022. Built with Franklin.jl, using the Book Template.