Publisher Summary The chapter provides a general description of PARAMESH and the algorithms it uses. The chapter also provides an overview of some of the applications for which PARAMESH is being used. PARAMESH is a portable high-performance software toolkit that enables parallel, adaptive-mesh, computer simulations. PARAMESH was originally conceived to support hydrodynamic and MHD applications of the solar atmosphere. It has been so successful that it is now being used in a much broader range of applications that include general relativistic models of colliding compact objects in preparation for the laser interferometer space antenna (LISA) mission, space weather models of the sun, inner heliosphere and magnetosphere, and models of radiation hydrodynamics in novae, supernovae, and gamma-ray bursts. These different applications stress the PARAMESH package in different ways.
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