Autor: Murawski, P. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: MPI-GPU/CUDA implementation of TVDLF method for the two-dimensional advection equation
Autorzy:: Murawski, K.
Stpiczyński, P.
Powiązania:: https://bibliotekanauki.pl/articles/206329.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: computer science
modelling
numerical methods
hyperbolic equations
Opis:: We implement Total Variation Diminishing Lax Friedrichs (TVDLF, or Rusanov) method to obtain numerical solutions of the two-dimensional advection equation. Despite the simplicity of this equation, solving it numerically is a formidable task. Based on the use of the original C++ MPI-GPU/CUDA code we present results of numerical tests we performed. These tests show that our code represents well the square wave profiles, leading to up to 60- times faster calculations with the use of MPI than with its serial counter-part.
Źródło:: Control and Cybernetics; 2014, 43, 2; 307-320
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Numerical simulations of Alfv´en waves in the solar atmosphere with the PLUTO code
Autorzy:: Wołoszkiewicz, P.
Murawski, K.
Musielak, Z. E.
Mignone, A.
Powiązania:: https://bibliotekanauki.pl/articles/205850.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: MHD
Alfv´en waves
Opis:: With an adaptation of the PLUTO code, we present a 2.5-dimensional Cartesian magnetohydrodynamic model with the invariant (∂/∂z = 0) coordinate z of propagating magnetohydrodynamic- gravity waves in the solar atmosphere, permeated by curved magnetic field and constant gravity field g = −gˆy. This code implements second-order accurate Godunov-type numerical scheme and MPI for high level of parallelization. We show that the inhomogeneous grid, originally built in the code, resolves well the system dynamics, resulting from the localized pulse initially launched in the transverse component of velocity Vz. We consider two cases for background magnetic field Be = [Bex,Bey,Bez] with its transverse component: (a) Bez = 0 and (b) Bez 6= 0. In case (a), the initial pulse triggers only Alfv´en waves, described solely by Vz. These waves drive by ponderomotive forces the magnetoacoustic waves, associated with perturbations in Vx and Vy. As a result of Bez 6= 0, in the (b) case, Alfv´en waves are coupled to their magnetoacoustic counterparts and all three velocity components are perturbed. We show that in this case the PLUTO code is accurate, its order being 1.97 and the numerically induced flow is of magnitude ≈ 0.1 km s−1, i.e. by a factor of at least ≈ 103 lower than the characteristic (Alfv´en) speed of the system. The errors, associated with the selenoidal condition, are low with the max |∇ ・ B| ≈ 1.3 ・ 10−10 Tesla km−1. We conclude that the PLUTO code copes well with resolving all spatial and temporal scales that appear in this numerically challenging system.
Źródło:: Control and Cybernetics; 2014, 43, 2; 321-335
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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