000219786 001__ 219786
000219786 005__ 20181203024311.0
000219786 0247_ $$2doi$$a10.1017/jfm.2016.186
000219786 022__ $$a0022-1120
000219786 02470 $$2ISI$$a000373937400033
000219786 037__ $$aARTICLE
000219786 245__ $$aSpatio-temporal patterns in inclined layer convection
000219786 260__ $$bCambridge Univ Press$$c2016$$aNew York
000219786 269__ $$a2016
000219786 300__ $$a27
000219786 336__ $$aJournal Articles
000219786 520__ $$aThis paper reports on a theoretical analysis of the rich variety of spatio-temporal patterns observed recently in inclined layer convection at medium Prandtl number when varying the inclination angle gamma and the Rayleigh number R. The present numerical investigation of the inclined layer convection system is based on the standard Oberbeck-Boussinesq equations. The patterns are shown to originate from a complicated competition of buoyancy driven and shear-flow driven pattern forming mechanisms. The former are expressed as longitudinal convection rolls with their axes oriented parallel to the incline, the latter as perpendicular transverse rolls. Along with conventional methods to study roll patterns and their stability, we employ direct numerical simulations in large spatial domains, comparable with the experimental ones. As a result, we determine the phase diagram of the characteristic complex 3-D convection patterns above onset of convection in the gamma-R plane, and find that it compares very well with the experiments. In particular we demonstrate that interactions of specific Fourier modes, characterized by a resonant interaction of their wavevectors in the layer plane, are key to understanding the pattern morphologies.
000219786 6531_ $$aBenard convection
000219786 6531_ $$anonlinear dynamical systems
000219786 6531_ $$apattern formation
000219786 700__ $$uMax Planck Inst Dynam & Self Org, D-37077 Gottingen, Germany$$aSubramanian, Priya
000219786 700__ $$uUniv Bayreuth, Theoret Phys 1, POB 101251, D-95447 Bayreuth, Germany$$aBrausch, Oliver
000219786 700__ $$uN Carolina State Univ, Dept Phys, Raleigh, NC 27695 USA$$aDaniels, Karen E.
000219786 700__ $$uMax Planck Inst Dynam & Self Org, D-37077 Gottingen, Germany$$aBodenschatz, Eberhard
000219786 700__ $$0247936$$g231182$$uMax Planck Inst Dynam & Self Org, D-37077 Gottingen, Germany$$aSchneider, Tobias M.
000219786 700__ $$aPesch, Werner$$uUniv Bayreuth, Theoret Phys 1, POB 101251, D-95447 Bayreuth, Germany
000219786 773__ $$j794$$tJournal Of Fluid Mechanics$$q719-745
000219786 909C0 $$xU12653$$0252551$$pECPS
000219786 909CO $$pSTI$$particle$$ooai:infoscience.tind.io:219786
000219786 917Z8 $$x260696
000219786 937__ $$aEPFL-ARTICLE-219786
000219786 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000219786 980__ $$aARTICLE