Języki publikacji
Abstrakty
We present results of numerical simulations of acoustic waves with the use of the Graphics Processing Unit (GPU) acceleration GAMER code which implements a second-order Godunov-type numerical scheme and adaptive mesh refinement (AMR). The AMR implementation is based on constructing a hierarchy of grid patches with an octree data structure. In this code a hybrid model is adopted, in which the time-consuming solvers are dealt with GPUs and the complex AMR data structure is manipulated by Central Processing Units (CPUs). The code is highly parallelized with the Hilbert space-filling curve method. These implementations allow us to resolve well desperate spatial scales that are associated with acoustic waves. We show that a localized velocity (gas pressure) pulse that is initially launched within a uniform and still medium triggers acoustic waves simultaneously with a vortex (an entropy mode). In a flowing medium, acoustic waves experience amplitude growth or decay, a scenario which depends on a location of the flow and relative direction of wave propagation. The amplitude growth results from instabilities which are associated with negative energy waves.
Słowa kluczowe
Rocznik
Tom
Strony
787--792
Opis fizyczny
Bibliogr. 13 poz., rys., tab.
Twórcy
autor
autor
- Faculty of Physics, Mathematics and Informatics, University of Maria Curie-Skłodowska, 1 M. Curie-Skłodowskiej Sq., 20-031 Lublin, Poland
Bibliografia
- [1] NVIDIA, NVIDIA CUDA C Programming Guide (Version 4.1), Santa Clara, CA, NVIDIA, 2012.
- [2] Khronos Group, The OpenCL Specification (Version 1.2), Beaverton, OR, Khronos Group, 2011.
- [3] H. Schive, Y. Tsai, and T. Chiueh, “GAMER: a graphic processing unit accelerated adaptive-mesh-refinement code for astrophysics”, Astrophys. J. Suppl. 186, 457-484 (2010).
- [4] H. Schive, U. Zhang, and T. Chiueh, “Directionally unsplit hydrodynamic schemes with hybrid MPI/OpenMP/GPU parallelization in AMR”, CD-ROM arXiv 1103.3373(2011).
- [5] S.K. Godunov, “A difference scheme for numerical solution of discontinuous solution of hydrodynamic equations”, Math. Sb. 47, 271-306, (1959).
- [6] K. Murawski Jr., K. Murawski, and P. Stpiczyński, “Implementation of MUSCL-Hancock method into the C++ code for the Euler equations”, Bull. Pol. Ac.: Tech. 60 (1), 45-53 (2012).
- [7] K. Murawski, D. Lee, “Numerical methods of solving equations of hydrodynamics from perspectives of the code FLASH”, Bull. Pol. Ac.: Tech. 59 (1), 81-91 (2011).
- [8] J. Lighthill, Waves in Fluids, Cambridge University Press, Cambridge, 1978.
- [9] D.J. Acheson, Elementary Fluid Dynamics, Oxford University Press, New York, 1990.
- [10] K. Murawski, T.V. Zaqarashvili, and V.M. Nakariakov, “Entropy mode at a magnetic null point as a possible tool for indirect observation of nanoflares in the solar corona”, Astron. Astrophys. 533, A18 1-5 (2011).
- [11] R.A. Cairns, “The role of negative energy waves in some instabilities of parallel flows”, J. Fluid Mech. 92, 1-14 (1979).
- [12] M. Terra-Homem, R. Erdelyi, and I. Ballai, “Linear and nonlinear MHD wave propagation in steady-state magnetic cylinders”, Solar Physics 217, 199-223 (2003).
- [13] P.S. Joarder, V.M. Nakariakov, and B. Roberts, “A manifestation of negative energy waves in the solar atmosphere”, SolarPhysics 176, 285-297 (1997).
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0096-0042