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Textbook multigrid efficiency for fluid simulations

delete2003-01-01
delete32
PRE
AI
J
James L. Thomas
B
Boris Diskin
A
Achi Brandt
DOI:10.1146/annurev.fluid.35.101101.161209delete
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摘要

摘要

En 中文
Recent advances in achieving textbook multigrid efficiency for fluid simulations are presented. Textbook multigrid efficiency is defined as attaining the solution to the governing system of equations in a computational work that is a small multiple of the operation counts associated with discretizing the system. Strategies are reviewed to attain this efficiency by exploiting the factorizability properties inherent to a range of fluid simulations, including the compressible Navier-Stokes equations. Factorizability is used to separate the elliptic and hyperbolic factors contributing to the target system; each of the factors can then be treated individually and optimally. Boundary regions and discontinuities are addressed with separate (local) treatments. New formulations and recent calculations demonstrating the attainment of textbook efficiency for aerodynamic simulations are shown.
Keyword:
Navier-Stokes
Euler
discretization
solver
factorizability
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期刊

Annual Review of Fluid Mechanics 封面图
Annual Review of Fluid Mechanics
IF:
30.2
论文数:
611
被引数:
1.9W

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