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

Technical Report · Sat Oct 07 00:00:00 EDT 2006

DOI:https://doi.org/10.2172/919384· OSTI ID:919384

Hald, Ole H; Shvets, Yelena; Stinis, Panagiotis

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.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Director, Office of Science
• DOE Contract Number: DE-AC02-05CH11231
• OSTI ID: 919384
• Report Number(s): LBNL-61676; TRN: US200825%%241
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
CONVERGENCE
STATISTICAL MECHANICS
EQUATIONS
TWO-DIMENSIONAL CALCULATIONS
THREE-DIMENSIONAL CALCULATIONS