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arXiv · astro-ph/0107454

Gradient Particle Magnetohydrodynamics

Jason L. Maron·Gregory G. Howes
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Abstract

We introduce Gradient Particle Magnetohydrodynamics (GPM), a new Lagrangian method for magnetohydrodynamics based on gradients corrected for the locally disordered particle distribution. The development of a numerical code for MHD simulation using the GPM algorithm is outlined. Validation tests simulating linear and nonlinear sound waves, linear MHD waves, advection of magnetic fields in a magnetized vortex, hydrodynamical shocks, and three-dimensional collapse are presented, demonstrating the viability of an MHD code using GPM. The characteristics of a GPM code are discussed and possible avenues for further development and refinement are mentioned. We conclude with a view of how GPM may complement other methods currently in development for the next generation of computational astrophysics.

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Jason L. Maron, Gregory G. Howes. 2001-07-24. Gradient Particle Magnetohydrodynamics. https://doi.org/10.1086/377296

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