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An improved parallel compact scheme for domain‐decoupled simulation of turbulence
Author(s) -
Fang J.,
Gao F.,
Moulinec C.,
Emerson D.R.
Publication year - 2019
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4731
Subject(s) - direct numerical simulation , domain decomposition methods , vortex , turbulence , computational fluid dynamics , scalability , computer simulation , computer science , mathematics , computational science , topology (electrical circuits) , physics , reynolds number , simulation , mechanics , finite element method , database , thermodynamics , combinatorics
Summary An improved domain‐decoupled compact scheme for first and second spatial derivatives is proposed for domain‐decomposition‐based parallel computational fluid dynamics. The method improves the accuracy of previously developed decoupled schemes and preserves the accuracy and bandwidth properties of fully coupled compact schemes, even for a very large degree of parallelism, and enables the Navier‐Stokes equations to be solved independently on each processor. The scheme is analysed using Fourier analysis and error analysis, and tested on one‐dimensional wave‐packet propagation, a two‐dimensional vortex convection problem, and in the direct numerical simulation of the three‐dimensional Taylor‐Green vortex problem and turbulent channel flow. Our results demonstrate the scheme's effectiveness in performing direct numerical simulation of turbulence in terms of accuracy and scalability.