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PIERNIK is an MHD code created at Centre for Astronomy, Nicolaus Copernicus University. Current version uses a simple, conservative numerical scheme, which is known as Relaxing TVD scheme (RTVD). General mathematical context of the relaxation and relaxing systems of hyperbolic conservation laws, and
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related numerical schemes, was presented by Jin & Xin (1995). A particular realization of the RTVD was developed by Trac & Pen (2003) and Pen et al. (2003), who presented the numerical method in a pedagogical way, and provided short, publicly available HD and MHD codes. These codes rely on a dimensionally split, second order algorithm in space and time. The Relaxing TVD scheme is easily extendible to account for additional fluid components: multiple fluids, dust, cosmic rays, self-gravity. [Less]
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