S. Wunsch, SIMPLE PASSIVE SCALAR ADVECTION-DIFFUSION MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 5757-5764
This paper presents a simple, one-dimensional modal of a randomly adve
cted passive scalar. The model exhibits anomalous inertial range scali
ng for the structure functions constructed from scalar differences. Th
e model provides a simple computational test for recent ideas regardin
g closure and scaling for randomly advected passive scalars. Results s
uggest that high order structure function scaling depends on the large
st velocity eddy size, and hence scaling exponents may be geometry dep
endent and nonuniversal. [S1063-651X(98)11410-1].