# Scripts of plane Couette flow with wall-transpiration

This data set contains the MATLAB and Maple scripts employed for the paper written on the stability of plane Couette flow with wall-transpiration as well as the computed results.

## Main files

• Scripts for calculations

This File contains the MATLAB scripts for the two numerical methods to find the eigenvalues of the system for PCFT, i.e., the local and global methods as well as the Maple script for iterative refinement of spectra.

• Scripts for results

This file contains the MATLAB scripts for the figures presented in the paper.

## Subfiles

### 1. Scripts for calculations

• Local method

Using the MATALB scripts in this file, the eigenvalue problem (2.9) in the paper is solved numerically with a nonlinear complex root-finder based on the Cxroot package.

• Global method

Using the MATALB scripts in this file, the temporal and spatial spectra of the system (2.4) and (2.5) in the paper are solved numerically based on Chebyshev polynomials.

• Iterative refinement of spectra

The eigenvalues obtained by the global method are iteratively refined using this Maple script.

### 2. Scripts for results

• Temporal neutral surface

The scripts and computed data in this file refer to the representation in figure 3 in the paper.

• Temporal spectra

The scripts and computed data in this file refer to the representations in figure 5(a) and figure 6 in the paper.

• Temporal eigenfunctions

The scripts and computed data in this file refer to the representation in figure 7 in the paper.

• Spatial neutral surface

The scripts and computed data in this file refer to the representation in figure 4 in the paper.

• Spatial spectrum

The scripts and computed data in this file refer to the representation in figure 5(b) in the paper.