Spectral

A computational tool for simulating 3+1D deformations of nonlinear viscoelastic solids using the multidomain pseudospectral method. It is designed for modeling of nonlinear strain waves and solitons in (visco-) elastic waveguides.

Features

• Simulates the evolution of initial waves and waves generated by pressure applied on the waveguide surface.
• Leverages the multidomain pseudospectral method with Legendre, Chebyshev or Fourier spatial basis for high accuracy and efficiency.
• Includes Jupyter notebooks for simulation and result visualization.

Usage

Clone the repository and create a conda environment using the provided spectral.yml file.

The repository provides two examples:

1. Evolution of an initial wave
   Use the notebook SimulateIC to simulate the evolution of an initial wave.

2. Wave propagation generated by impact
   Use the notebook SimulateImpact to model strain waves resulting from an impact (a pressure applied to the waveguide's end for a short period of time).

To visualize the simulation results, refer to the ResultsVisualization* notebooks, which demonstrate post-processing and graphical representation of the data.

Example workflow:

1. Run the simulation notebook (SimulateIC or SimulateImpact) and save the results to a file.
2. Load the results using the corresponding ResultsVisualization* notebook for the simulation analysis.