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351. Home of Roy C. Cool, 04/29/33, Morristown, NJ

Author

Frederick V. Curtiss, The Morristown & Morris Township Public Library, The North Jersey History & Genealogy Center, Frederick V. Curtiss, Frederick V. Curtiss, The Morristown & Morris Township Public Library, The North Jersey History & Genealogy Center, and Frederick V. Curtiss

353. High performance computing for partial differential equations

Author

Ralf Gruber, Jonas Latt, Etienne Ahusborde, V. Keller, M. Azaïez, Ecole Polytechnique Fédérale de Lausanne (EPFL), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), and Universität Zürich [Zürich] = University of Zurich (UZH)

Subjects
Cool, Mathematical optimization, General Computer Science, media_common.quotation_subject, Mesh density function, Computational fluid dynamics, 01 natural sciences, Stellerator, 010305 fluids & plasmas, 0103 physical sciences, Applied mathematics, Complexity function, 0101 mathematics, Navier–Stokes equations, Spurious relationship, Incompressibility condition, media_common, Mathematics, High performance computing methods, Partial differential equation, Variables, business.industry, General Engineering, Supercomputer, 010101 applied mathematics, Adaptive mesh, Stokes problem, Parallel processing (DSP implementation), Mesh generation, Processor frequency adaptation, Gyrotron simulation, Modes, Linear ideal MHD stability, business, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

cited By (since 1996)0; International audience; When representing realistic physical phenomena by partial differential equations (PDE), it is crucial to approximate the underlying physics correctly, to get precise results, and to efficiently use the computer architecture. Incorrect results can appear in incompressible Navier-Stokes or Stokes problems when the numerical approach couples into spurious modes. In Maxwell or magnetohydrodynamic (MHD) equations the so-called spectrum pollution effect can occur, and the numerical solution does not stably converge to the physical one. Problems coming from a mesh that is not adapted to the underlying physical problem, or from an inadequate choice of the dependent and independent variables can lead to low precision. Efficiency of a code implementation can be improved by well adapting the parallel computer to the application. A new monitoring system enables to detect poor implementations, to find best suited resources to execute the job, and to adapt the processor frequency during. © 2010 Elsevier Ltd.

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