AUTHOR=Shi Chen , Tenerani Anna , Rappazzo Antonio Franco , Velli Marco 

TITLE=LAPS: An MPI-parallelized 3D pseudo-spectral Hall-MHD simulation code incorporating the expanding box model

JOURNAL=Frontiers in Astronomy and Space Sciences

VOLUME=11

YEAR=2024

URL=https://www.frontiersin.org/journals/astronomy-and-space-sciences/articles/10.3389/fspas.2024.1412905

DOI=10.3389/fspas.2024.1412905

ISSN=2296-987X

ABSTRACT=<p>Numerical simulations have been an increasingly important tool in space physics. Here, we introduce an open-source three-dimensional compressible Hall-Magnetohydrodynamic (MHD) simulation code <monospace>LAPS</monospace> (UC<bold>LA</bold>-<bold>P</bold>seudo-<bold>S</bold>pectral, <ext-link ext-link-type="uri" xlink:href="https://github.com/chenshihelio/LAPS" xmlns:xlink="http://www.w3.org/1999/xlink">https://github.com/chenshihelio/LAPS</ext-link>). The code adopts a pseudo-spectral method based on Fourier Transform to evaluate spatial derivatives, and third-order explicit Runge-Kutta method for time advancement. It is parallelized using Message-Passing-Interface (<monospace>MPI</monospace>) with a “pencil” parallelization strategy and has very high scalability. The Expanding-Box-Model is implemented to incorporate spherical expansion effects of the solar wind. We carry out test simulations based on four classic (Hall)-MHD processes, namely, 1) incompressible Hall-MHD waves, 2) incompressible tearing mode instability, 3) Orszag-Tang vortex, and 4) parametric decay instability. The test results agree perfectly with theory predictions and results of previous studies. Given all its features, <monospace>LAPS</monospace> is a powerful tool for large-scale simulations of solar wind turbulence as well as other MHD and Hall-MHD processes happening in space.</p>