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Computational Time Improvement for Some Shallow Water Finite Volume Models Applying Parallelization and Optimized Small Matrix Computations

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • M. J. Castro

    (Universidad de Málaga, Dpt. Análisis Matemático, Facultad de Ciencias)

  • J. A. García

    (Universidad de Málaga, Dpt. Análisis Matemático, Facultad de Ciencias)

  • J. M. González

    (Universidad de Málaga, Dpt. Análisis Matemático, Facultad de Ciencias)

  • C. Parés

    (Universidad de Málaga, Dpt. Análisis Matemático, Facultad de Ciencias)

Abstract

The goal of this paper is to construct efficient finite volume parallel solvers on non-structured grids for 2d hyperbolic systems of conservation laws with source terms and nonconservative products using SIMD registers. Line method is applied: at every intercell a projected Riemann problem along the normal direction is considered (see [2]). The resulting 2d numerical schemes are explicit and first order accurate. The solver is parallelized following a SIMD approach, by means of SSE (“Streaming SIMD Extensions”), which are present in common processors. A generic C++ wrapper to small matrices libraries that make use of SIMD instructions has been implemented in an efficient way and an application to IPP small matrix library is presented.

Suggested Citation

  • M. J. Castro & J. A. García & J. M. González & C. Parés, 2006. "Computational Time Improvement for Some Shallow Water Finite Volume Models Applying Parallelization and Optimized Small Matrix Computations," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 288-296, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_22
    DOI: 10.1007/978-3-540-34288-5_22
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