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The Pencil Code is primarily designed to deal with weakly compressible turbulent flows, which is why we use high-order first and second derivatives. To achieve good parallelization, we use explicit (as opposed to compact) finite differences. Typical scientific targets include driven MHD turbulence ... [More] in a periodic box, convection in a slab with non-periodic upper and lower boundaries, a convective star embedded in a fully nonperiodic box, accretion disc turbulence in the shearing sheet approximation, self-gravity, non-local radiation transfer, dust particle evolution with feedback on the gas, etc. A range of artificial viscosity and diffusion schemes can be invoked to deal with supersonic flows. For direct simulations regular viscosity and diffusion is being used. [Less]

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 ... [More] 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]

Stanford University Unstructured Suite Computational analysis tools have revolutionized the way we design engineering systems, but most established codes are proprietary, unavailable, or prohibitively expensive for many users. The SU2 team is changing this, making multiphysics analysis and design ... [More] optimization freely available as open-source software and involving everyone in its creation and development. [Less]