دانلود رایگان مقاله لاتین الگوریتم موازی برای شبیه سازی جریان توپولوژی مجازی از سایت الزویر
عنوان فارسی مقاله:
یک الگوریتم موازی سازگار برای شبیه سازی جریان عددی مستقیم آشفته تراکم ناپذیر با استفاده از روش تبدیل فوریه طیفی / اسب بخار عنصر و توپولوژی مجازی MPI
عنوان انگلیسی مقاله:
An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/hp element method and MPI virtual topologies
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
Direct Numerical Simulation (DNS) is used to simulate complex laminar and turbulent flow problems both to gain an understanding of the fundamental flow physics and for industrial applications [1]. Turbulent flows inherently require high spatial and temporal resolutions in order to resolve the spectrum of scales within the flow, which depends on the Reynolds number Re. The number of grid points needed to resolve a fully turbulent three-dimensional flow scales as Re9/4 [2], meaning that even at modest Re, the computational demands are significant. Since practical CFD applications involve Reynolds numbers on the order of 103 –106 and higher, this inevitably makes serial computation impossible, necessitating the use of parallel clusters of computers. The most prevalent form of high-performance computer systems are distributed-memory clusters consisting of an interconnected collection of processors, each with their own local memory hierarchies. Traditionally, the capacity of these systems has been broadly increased through faster processor clock speeds and improved lower-latency network interconnects. However, in recent years, HPC facilities have evolved around increasingly parallel systems as clock speeds have saturated and energy-usage concerns become a motivating factor [3]. Consequently, algorithms have been required to adapt to the changing hardware landscape in order to maintain efficiency. The spectral/hp element method [4], whilst being used to simulate fluid flow for many years in an academic setting, is now emerging as an attractive alternative to many traditional numerical discretisations on modern HPC hardware. As opposed to the classical finite element method, spectral/hp elements use high-order polynomial expansions on each element. Numerically, this has the advantage of low dispersion and diffusion alongside exponential convergence in the polynomial order. Additionally however, discretised operators are dense and have a far richer structure compared to linear expansions, meaning that they can more effectively utilise caching on modern HPC hardware. The tensor product of one-dimensional basis functions on each element also admits a rich fabric of implementation strategies [5–7]. However, variations of this method mean that we can further improve computational performance whilst preserving the accuracy of the simulation. Many studies of fundamental flow physics are posed on domains which are characterised by geometric homogeneity in one or more coordinate directions [8–10]. Instead of discretising the domain using a 3D spectral/hp element method, one can combine a 2D spectral/hp element discretisation with a pure spectral expansion to significantly reduce the computational cost of these problems. This approach is known as a Fourier–spectral/hp element method [11]. In this study we are specifically interested in the case where only one coordinate direction possesses geometric homogeneity. Therefore, the 3D domain is decomposed into a sequence of spectral/hp element planes, coupled using a Fourier expansion in the third coordinate directions.
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کلمات کلیدی:
A low-cost parallel implementation of direct numerical simulation of ... dl.acm.org/citation.cfm?id=1141743 by P Luchini - 2006 - Cited by 51 - Related articles Jan 20, 2006 - A low-cost parallel implementation of direct numerical simulation of wall .... A numerical method for the direct numerical simulation of incompressible wall turbulence in ... The parallel algorithm is designed in such a way as to minimize ..... An adaptive fast solver for the modified Helmholtz equation in two ... Dr David Moxey - Publications - CEMPS - - Engineering, University of ... emps.exeter.ac.uk › ... › Engineering › Staff profiles › Profile › Publications Bolis A, Cantwell CD, Moxey D, Serson D, Sherwin SJ. (2016) An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent ... Computational Fluid Dynamics 2010: Proceedings of the Sixth ... https://books.google.com/books?isbn=3642178847 Alexander Kuzmin - 2011 - Technology & Engineering Davide Zuzio and Jean-Luc Estivalezes Abstract Direct numerical simulation of high ... We have developed a parallel algorithm for solving the incompressible Navier-Stokes equation in two-phase flows on an adaptive hierarchy of mesh. Parallel Computational Fluid Dynamics 2004: Multidisciplinary ... https://books.google.com/books?isbn=0080460968 Gabriel Winter, Jacques Periaux, Pat Fox - 2005 - Science Keywords Direct Numerical Simulation, Domain Decomposition, Euler and Navier Stokes Solvers, Finite Element Methods, Parallel Algorithms 2. ... In this work, a parallel finite element solver for a stationary and incompressible formulation of the Navier-Stokes equations is ... Unstructured adaptive mesh for a 2D driven ... Parallel Computational Fluid Dynamics '95: Implementations and ... https://books.google.com/books?isbn=0080538444 A. Ecer, N. Satofuka, Jacques Periaux - 1996 - Science Implementations and Results Using Parallel Computers A. Ecer, N. Satofuka, ... Strategy for Parallel Vortex Methods with Distributed Adaptive Data Structure R. ... J. Reymond and M. Sawley Parallel Multi-block Computation of Incompressible ... Parallel Algorithm for Direct Numerical Simulation of Turbulence with Particle ... publications - DNS, turbulence modeling, physics and numerics of ... fxtrias.com/publications.html "A self-adaptive strategy for the time-integration of convection-diffusion equations", ... "Direct numerical simulation of a fully developed turbulent square duct flow up to ... "A parallel MPI+OpenMP+OpenCL algorithm for hybrid supercomputations of ..... “A parallel OpenCL-based solver for large-scale DNS of incompressible ... [PDF]direct numerical simulation of turbulent flows with parallel algorithms ... www.wccm-eccm-ecfd2014.org/admin/files/filePaper/p3063.pdf by A GOROBETS - Cited by 2 - Related articles Secondly, it introduces new series of direct numerical simulations of incompressible turbulent flows with heat transfer performed with the considered algorithms.