Recent Advances in Achieving Textbook Multigrid Efficiency for Computational Fluid Dynamics Simulations
نویسندگان
چکیده
Recent advances in achieving textbook multigrid e ciency for uid simulations are presented. Textbook multigrid e ciency is de ned as attaining the solution to the governing system of equations in a computational work which is a small multiple of the operation counts associated with discretizing the system. Strategies are reviewed to attain this e ciency by exploiting the factorizability properties inherent to a range of uid 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 e ciency for aerodynamic simulations are shown.
منابع مشابه
Textbook Multigrid Efficiency for Fluid Simulations∗
■ Abstract 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 fact...
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