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JexpressoHOmesh

This is a simple package that reads any 2D or 3D GMSH grid file (another reader could be added as needed) and adds high-order Legendre-Gauss-Lobatto or Legendre-Gauss nodes for arbitrary order spectral elements.

Suggested Julia version: 1.10.0

If you use JexpressoHOmesh please drop us a line to let us know. We'd like to add a link to your paper or work on this page.

Please cite JexpressoHOmesh with:

@article{tissaoui2024,
  author = {Y. Tissaoui and J. F. Kelly and S. Marras}
  title = {Efficient Spectral Element Method for the Euler Equations on Unbounded Domains},
  year = {2024},
  volume={487},
  pages={129080}, 
  journal = {Appl. Math. Comput.},
}

Feel free to contact me if you have questions or if you are interested in contributing (for example, it would be nice to add curved-elements capabilities!) Simone Marras

Some notes on using JexpressoHOmesh

To install and run the code assume Julia 1.10.0

Setup

After cloning JexpressoHOmesh do the following:

>> cd $JEXPRESSO_HOME
>> julia --project=.

pkg> instantiate

pkg> precompile

To run JexpressoHOmesh, do as follows:

Push problem name to ARGS You need to do this only when you run a new problem

julia> push!(empty!(ARGS), PROBLEM_CASE_NAME::String)
julia> include("./src/JexpressoHOmesh.jl")

• PROBLEM_NAME is the name of your problem directory as $JEXPRESSO/problems/problem_case_name
• PROBLEM_CASE_NAME is the name of the subdirectory containing the specific setup that you want to run:

The path would look like $JEXPRESSO/problems/problems/PROBLEM_CASE_NAME

Example 1:

julia> push!(empty!(ARGS), "grid");
julia> include("./src/JexpressoHOmesh.jl")

The linear GMSH reader

The linear mesh reader is from GridapGMSH.jl

Plotting

Files can be written to VTK.

Contacts

Simone Marras