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1st_order
1st_order
 
 
2nd_order
2nd_order
 
 
elastic_2nd_order
elastic_2nd_order
 
 
infrasound
infrasound
 
 
sdfs
sdfs
 
 
tti
tti
 
 
vti
vti
 
 
10_1st_order_acoustic_sinusoid_hill.ipynb
10_1st_order_acoustic_sinusoid_hill.ipynb
 
 
11_3D_2nd_order_acoustic_parabola.ipynb
11_3D_2nd_order_acoustic_parabola.ipynb
 
 
12_elastic_flat_surface.ipynb
12_elastic_flat_surface.ipynb
 
 
13_vti.ipynb
13_vti.ipynb
 
 
14_1st-order_exact_solution_comparison.ipynb
14_1st-order_exact_solution_comparison.ipynb
 
 
15_1st-order_acoustic_convergence_testing.ipynb
15_1st-order_acoustic_convergence_testing.ipynb
 
 
16_tti.ipynb
16_tti.ipynb
 
 
17_elastic_2nd_order_flat_surface.ipynb
17_elastic_2nd_order_flat_surface.ipynb
 
 
18_elastic_2nd_order_diagonal_surface.ipynb
18_elastic_2nd_order_diagonal_surface.ipynb
 
 
19_elastic_2nd_order_sinusoid.ipynb
19_elastic_2nd_order_sinusoid.ipynb
 
 
1_horizontal_surface_acoustic.ipynb
1_horizontal_surface_acoustic.ipynb
 
 
20_elastic_vti_2nd_order.ipynb
20_elastic_vti_2nd_order.ipynb
 
 
21_elastic_tti_2nd_order.ipynb
21_elastic_tti_2nd_order.ipynb
 
 
2_horizontal_surface_1D_extrapolations.ipynb
2_horizontal_surface_1D_extrapolations.ipynb
 
 
3_diagonal_surface_acoustic.ipynb
3_diagonal_surface_acoustic.ipynb
 
 
4_diagonal_surface_staggered_acoustic.ipynb
4_diagonal_surface_staggered_acoustic.ipynb
 
 
5_2nd_order_acoustic_rigid_surface.ipynb
5_2nd_order_acoustic_rigid_surface.ipynb
 
 
6_2nd_order_acoustic_sinusoid_hill.ipynb
6_2nd_order_acoustic_sinusoid_hill.ipynb
 
 
7_1D_vs_ND_comparison.ipynb
7_1D_vs_ND_comparison.ipynb
 
 
8_2nd-order_acoustic_exact_solution_comparison.ipynb
8_2nd-order_acoustic_exact_solution_comparison.ipynb
 
 
9_2nd-order_acoustic_convergence_testing.ipynb
9_2nd-order_acoustic_convergence_testing.ipynb
 
 
README.md
README.md
 
 
convergence.py
convergence.py
 
 
convergence_1st_order.py
convergence_1st_order.py
 
 

README.md

Examples and Tutorials

This folder contains tutorial notebooks explaining the use of the Schism API and the capabilities of the underlying mathematical and software framework. They are broadly ordered according to increasing complexity. There is also a set of example scripts demonstrating the implementation of various propagators featuring real-world topography.

Tutorial Notebooks

The tutorial notebooks cover implementation of immersed boundaries with the following wave equations:

  • 2nd-order isotropic acoustic (free and rigid surfaces)
  • 1st-order isotropic acoustic
  • Fowler et al. 2010 VTI
  • Fletcher et al 2009 TTI
  • 2nd-order isotropic elastic
  • 1st-order isotropic elastic Note that Schism is also capable of imposing boundary conditions with other PDEs, for example the diffusion equation.

There is also a comparison of the use of 1D and N-dimensional extrapolations for imposing the immersed boundary, given in notebook 7.

Notebooks 7, 9, and 15 are used to generate figures used in the acoustic wave equations paper.

Examples Scripts

The example scripts are separated into 6 folders:

  • 2nd_order (contains 2nd-order acoustic examples)
  • 1st_order (contains 1st-order acoustic examples)
  • vti (contains Duveneck et al. 2008 and Fowler et al. 2010 examples)
  • tti (contains Fletcher et al. 2009 example)
  • elastic_2nd_order (contains 2nd-order iso-elastic example)
  • infrasound (contains infrasound source location examples)

The examples in 2nd_order and 1st_order are featured in the acoustic wave equations paper. This includes 2D and 3D runs with free and rigid surfaces featuring the Mt St Helens topographic profile.

Note that the first run of each of these scripts saves snapshots whilst subsequent runs plot them.