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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

Two-dimensional periodic flows

Welcome!

MIT License (Ricardo M. S. Rosa)

Last modified: March 11, 2022. Built with Franklin.jl, using the Book Template.