HSIMT2: MATLAB and Fortran code and numerical results

Published: 19 August 2026| Version 1 | DOI: 10.17632/2mzvx6jfkb.1
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Description

This dataset contains the MATLAB and Fortran programs and the numerical results supporting the manuscript "An explicit one-step characteristic- tracing finite volume scheme with second-order temporal accuracy for two-dimensional conservative transport." The MATLAB code covers the linear stability calculation and four numerical experiments. The Fortran programs are used for the error and runtime comparison. Numerical tables, stability data, and the figures reported in the manuscript are also included.

Files

Steps to reproduce

Read README.md before running the programs. For MATLAB, run a program from its own directory; the required grid.mat file is supplied, and make_grid.m can be used to regenerate it. For Fortran, build and run the scheme-specific make_grid project, place grid.dat in the corresponding main/main directory, and then build and run the solver. Reference values are provided in results/tables.

Institutions

Categories

Numerical Analysis, Partial Differential Equation, Finite Volume Method

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