TY - JOUR
T1 - Stretching and alignment in chaotic and turbulent flows
AU - Tabor, M.
AU - Klapper, I.
N1 - Funding Information:
Acknoweldgements--Twhoisr k was supportedb y the AFOSR under grant AFOSR-90-0284a nd the DOE under grantD E-FG03-93-ER25174I..K . thankst heNSF for a PostdoctoraFle llowshipT. he authorsw ouldlike to thank J-D. Fournierf or pastd iscussionosn Lyapunove xponents.
PY - 1994/6
Y1 - 1994/6
N2 - The kinematical and dynamical issues involved in stretching and alignment in chaotic and turbulent flows are examined. Dynamical systems tools, such as Lyapunov exponents, are discussed in the context of fluid mechanical problems and their connection with stretching rates in turbulent flows. Formalisms for the stretching and alignment of passive scalars, passive vectors and nonpassive vectors are developed and the interplay between kinematics and dynamics emphasized. This enables us to compare and contrast the behavior of line elements, gradients of scalar fields, vorticity and magnetic field lines.
AB - The kinematical and dynamical issues involved in stretching and alignment in chaotic and turbulent flows are examined. Dynamical systems tools, such as Lyapunov exponents, are discussed in the context of fluid mechanical problems and their connection with stretching rates in turbulent flows. Formalisms for the stretching and alignment of passive scalars, passive vectors and nonpassive vectors are developed and the interplay between kinematics and dynamics emphasized. This enables us to compare and contrast the behavior of line elements, gradients of scalar fields, vorticity and magnetic field lines.
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U2 - 10.1016/0960-0779(94)90137-6
DO - 10.1016/0960-0779(94)90137-6
M3 - Article
AN - SCOPUS:0028442729
SN - 0960-0779
VL - 4
SP - 1031
EP - 1055
JO - Chaos, solitons and fractals
JF - Chaos, solitons and fractals
IS - 6
ER -