Direct and noisy transitions in a model shear flow-中国期刊网

摘要 Thetransitiontoturbulenceinflowswherethelaminarprofileislinearlystablerequiresperturbationsoffiniteamplitude."Optimal"perturbationsaredistinguishedasextremaofcertainfunctionals,anddifferentfunctionalsgivedifferentoptima.Weherediscussthephasespacestructureofa2Dsimplifiedmodelofthetransitiontoturbulenceanddiscussoptimalperturbationswithrespecttothreecriteria:energyoftheinitialcondition,energydissipationoftheinitialcondition,andamplitudeofnoiseinastochastictransition.Wefindthatthestatestriggeringthetransitionaredifferentinthethreecases,butshowthesamescalingwithReynoldsnumber.

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Direct and noisy transitions in a model shear flow

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Direct and noisy transitions in a model shear flow

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