Resumen de Computational time improvement for some shallow water finite volume models applying parallelization and optimized small matrix computations

Manuel Jesús Castro Díaz, José Antonio García Rodríguez, José Manuel González Vida, Carlos Parés Madroñal

• 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.