@Article{Okabe2008,
  author = 	 {Takahide Okabe and Bruno Eckhardt and Jean-Luc
                  Thiffeault and Charles R. Doering},
  title =	 {Mixing effectiveness depends on the
                  source--sink structure: {S}imulation results},
  journal =	 {Journal of Statistical Mechanics: Theory and Experiment},
  volume =	 2008,
  number =	 7,
  OLDpages = 	 {P07018 (13pp)},
  pages = 	 {P07018},
  url = 	 {http://stacks.iop.org/1742-5468/2008/P07018},
  doi =		 {10.1088/1742-5468/2008/07/P07018},
  year = 	 2008,
  abstract = 	 {Mixing refers to the homogenization of
                  concentrations of passive scalars in fluids. On
                  small scales it is dominated by diffusion and on
                  large scales it is assisted by stirring. In the
                  presence of scalar sources and sinks the
                  concentration field remains inhomogeneous, but the
                  combined effect of stirring and dissipation may lead
                  to a statistically stationary state. One measure of
                  the quality of mixing is then the standard deviation
                  of the scalar concentration from the mean, and the
                  effectiveness of a stirring velocity field can be
                  gauged by comparing the concentration fluctuations
                  in the presence of stirring to those in its
                  absence. It was recently noted that the maximum
                  possible effectiveness of any stirring depends on
                  the detailed structure of the sources and sinks. We
                  present results from particle-based simulations that
                  confirm this strong source-sink dependence of the
                  mixing enhancement by stirring.}
}

{"_id":"3qav9yTYNN5TFWeZ2","bibbaseid":"okabe-eckhardt-thiffeault-doering-mixingeffectivenessdependsonthesourcesinkstructuresimulationresults-2008","downloads":0,"creationDate":"2017-12-04T02:01:21.350Z","title":"Mixing effectiveness depends on the source--sink structure: Simulation results","author_short":["Okabe, T.","Eckhardt, B.","Thiffeault, J.","Doering, C. R."],"year":2008,"bibtype":"article","biburl":"http://www.math.wisc.edu/~jeanluc/jlt.bib","bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["Takahide"],"propositions":[],"lastnames":["Okabe"],"suffixes":[]},{"firstnames":["Bruno"],"propositions":[],"lastnames":["Eckhardt"],"suffixes":[]},{"firstnames":["Jean-Luc"],"propositions":[],"lastnames":["Thiffeault"],"suffixes":[]},{"firstnames":["Charles","R."],"propositions":[],"lastnames":["Doering"],"suffixes":[]}],"title":"Mixing effectiveness depends on the source--sink structure: Simulation results","journal":"Journal of Statistical Mechanics: Theory and Experiment","volume":"2008","number":"7","oldpages":"P07018 (13pp)","pages":"P07018","url":"http://stacks.iop.org/1742-5468/2008/P07018","doi":"10.1088/1742-5468/2008/07/P07018","year":"2008","abstract":"Mixing refers to the homogenization of concentrations of passive scalars in fluids. On small scales it is dominated by diffusion and on large scales it is assisted by stirring. In the presence of scalar sources and sinks the concentration field remains inhomogeneous, but the combined effect of stirring and dissipation may lead to a statistically stationary state. One measure of the quality of mixing is then the standard deviation of the scalar concentration from the mean, and the effectiveness of a stirring velocity field can be gauged by comparing the concentration fluctuations in the presence of stirring to those in its absence. It was recently noted that the maximum possible effectiveness of any stirring depends on the detailed structure of the sources and sinks. We present results from particle-based simulations that confirm this strong source-sink dependence of the mixing enhancement by stirring.","bibtex":"@Article{Okabe2008,\n author = \t {Takahide Okabe and Bruno Eckhardt and Jean-Luc\n Thiffeault and Charles R. Doering},\n title =\t {Mixing effectiveness depends on the\n source--sink structure: {S}imulation results},\n journal =\t {Journal of Statistical Mechanics: Theory and Experiment},\n volume =\t 2008,\n number =\t 7,\n OLDpages = \t {P07018 (13pp)},\n pages = \t {P07018},\n url = \t {http://stacks.iop.org/1742-5468/2008/P07018},\n doi =\t\t {10.1088/1742-5468/2008/07/P07018},\n year = \t 2008,\n abstract = \t {Mixing refers to the homogenization of\n concentrations of passive scalars in fluids. On\n small scales it is dominated by diffusion and on\n large scales it is assisted by stirring. In the\n presence of scalar sources and sinks the\n concentration field remains inhomogeneous, but the\n combined effect of stirring and dissipation may lead\n to a statistically stationary state. One measure of\n the quality of mixing is then the standard deviation\n of the scalar concentration from the mean, and the\n effectiveness of a stirring velocity field can be\n gauged by comparing the concentration fluctuations\n in the presence of stirring to those in its\n absence. It was recently noted that the maximum\n possible effectiveness of any stirring depends on\n the detailed structure of the sources and sinks. We\n present results from particle-based simulations that\n confirm this strong source-sink dependence of the\n mixing enhancement by stirring.}\n}\n\n","author_short":["Okabe, T.","Eckhardt, B.","Thiffeault, J.","Doering, C. R."],"key":"Okabe2008","id":"Okabe2008","bibbaseid":"okabe-eckhardt-thiffeault-doering-mixingeffectivenessdependsonthesourcesinkstructuresimulationresults-2008","role":"author","urls":{"Paper":"http://stacks.iop.org/1742-5468/2008/P07018"},"downloads":0},"search_terms":["mixing","effectiveness","depends","source","sink","structure","simulation","results","okabe","eckhardt","thiffeault","doering"],"keywords":[],"authorIDs":[],"dataSources":["mKJGn6D2czTY2qmSE"]}