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Application of the t-model of optimal prediction to the estimationof the rate of decay of solutions of the Euler equations in two and threedimensions
The "t-model" for dimensional reduction is applied to theestimation of the rate of decay of solutions of the Burgers equation andof the Euler equations in two and three space dimensions. The model wasfirst derived in a statistical mechanics context, but here we analyze itpurely as a numerical tool and prove its convergence. In the Burgers casethe model captures the rate of decay exactly, as was already previouslyshown. For the Euler equations in two space dimensions, the modelpreserves energy as it should. In three dimensions, we find a power lawdecay in time and observe a temporal intermittency.
Date:
October 7, 2006
Creator:
Hald, Ole H.; Shvets, Yelena & Stinis, Panagiotis
System:
The UNT Digital Library
Improving Ground Penetrating Radar Imaging in High Loss Environments by Coordinated System Development, Data Processing, Numerical Modeling, and Visualization methods with Applications to Site Characterization
The Department of Energy has identified the location and characterization of subsurface contaminants and the charcterization of the subsurface as a priority need. Many DOE facilities are in need of subsurface imaging in the vadose and saturated zones.
Date:
October 7, 2006
Creator:
Wright, David; Olhoeft, Michael Powers / gary; Oden, Charles & Moulton, Craig
System:
The UNT Digital Library