Functions
	parse_simulation_file (filename)

	compute_energy_norm (data)

	calculate_convergence_rate (mesh_sizes, errors)

	create_convergence_plots (data_by_degree)

	generate_latex_document (data_by_degree)

	main ()

Detailed Description

Simple Convergence Rate Analyzer for HHO-NSA Simulation Data

This script analyzes convergence rates from simulation output files and generates
publication-quality plots with LaTeX styling - ALL ON ONE GRAPH.

Usage:
    python3 convergence_analyzer.py timehistory_linear_k*_mesh*.txt

Function Documentation

◆ calculate_convergence_rate()

convergence_analyzer.calculate_convergence_rate	(	mesh_sizes,
		errors
	)

Calculate convergence rate using least squares fit.

◆ compute_energy_norm()

convergence_analyzer.compute_energy_norm ( data )

Compute the energy norm using the specified formula:
energy_norm^2 = L2_density_err_N^2 + L2_velocity_err_N^2 + 
                time_step * sum_{n=0}^{N-1} upw_density_err_{n+1}^2 + 
                (time_step * viscosity/2) * sum_{n=0}^{N-1} H1_velocity_err_{n+1}^2

Parameters:
data (dict): Dictionary containing time history and parameters

Returns:
float: Energy norm value

◆ create_convergence_plots()

convergence_analyzer.create_convergence_plots ( data_by_degree )

Create a single convergence plot with all degrees and error types.

◆ generate_latex_document()

convergence_analyzer.generate_latex_document ( data_by_degree )

Generate a LaTeX document with a single pgfplot showing all curves.

◆ main()

convergence_analyzer.main ( )

Main function: parse files and generate convergence analysis.

◆ parse_simulation_file()

convergence_analyzer.parse_simulation_file ( filename )

Extract convergence data from a single simulation output file.

Functions