Computational Fluid Dynamics 2006: Proceedings of the Fourth by Bernardo Cockburn (auth.), Herman Deconinck, E. Dick (eds.)

By Bernardo Cockburn (auth.), Herman Deconinck, E. Dick (eds.)

The overseas convention on Computational Fluid Dynamics (ICCFD) is the merger of the overseas convention on Numerical tools in Fluid Dynamics, ICNMFD (since 1969) and foreign Symposium on Computational Fluid Dynamics, ISCFD (since 1985). it's held each years and brings jointly physicists, mathematicians and engineers to check and percentage fresh advances in mathematical and computational strategies for modeling fluid dynamics. The lawsuits of the 2006 convention (ICCFD4) held in Gent, Belgium, comprise a range of refereed contributions and are supposed to function a resource of reference for all these drawn to the cutting-edge in computational fluid mechanics.

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Extra info for Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006

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Attempts to solve these problems have been made with 26 Biswas, Tu, and Van Dalsem some qualitative success. However, predictive capability is still very limited and prediction with accurate physics is yet to be accomplished; this will require inclusion of not only fluid dynamic quantities but other factors such as thermal loading, structural properties, and control. These computations will require not only larger computing resources but also increased storage capacity and sophisticated data management technologies.

In our case, for something similar to happen, we have to apply a hybridization procedure to the vorticity. Next, we show how to do that. Instead of working with the space Wh , we use the space Wh = {w : w|K ∈ W (K) for all K ∈ T}, and set, accordingly, Mh = {µ ∈ L2 (F \ ∂Ω)2 : µ|F\∂Ω = [[n × τ ]] for some τ ∈ Wh }. We now define the new approximation (ωh , uh , λh , ph ) as the only function in Wh × Vh × Mh × Qh satisfying (ωh , τh )Ω − (uh , ∇ × τh )Ωh − λh , [[n × τh ]] (vh , ∇ × ωh )Ωh + ph , [[vh · n]] F qh , [[uh · n]] F µh , [[n × ωh ]] F\∂Ω F\∂Ω = g , n × τh ∂Ω , = (f , vh )Ω , = g · n , qh ∂Ω , = 0, (7a) (7b) (7c) (7d) for all (τh , vh , µh , qh ) ∈ Wh × Vh × Mh × Qh .

This configuration has been integrated on the 2,048-CPU subcluster of Columbia [9] (see Sec. 4). This workload is distributed evenly over 1,920 processors, so that each CPU is responsible for simulating about 586,000 grid cells (equivalent to a surface region roughly 210×210 km2 ). Decomposing the workload over this many processors yields a setup that, with extensive diagnostics and analysis options included, uses about 870 MB of main memory per processor. With a timestep of two minutes, this performance allows a year of simulation to be completed in less than ten days.

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