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1

Center, Langley Research, ed. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1993.

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2

Girimaji, Sharath S. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1993.

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3

Center, Langley Research, ed. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1993.

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4

Center, Langley Research, ed. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1993.

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5

Orbey, Hasan. Modeling vapor-liquid equilibria: Cubic equations of state and their mixing rules. New York: Cambridge University Press, 1998.

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6

G, Ostrovskii Alexander, ed. Advection and diffusion in random media: Implications for sea surface temperature anomalies. Dordrecht: Kluwer Academic, 1997.

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7

Miroslav, Krstić, ed. Flow control by feedback: Stabilization and mixing. London: Springer, 2003.

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8

United States. National Aeronautics and Space Administration., ed. Numerical solutions of the complete Navier-Stokes equations: Progress report no. 16 for the period July 1, 1998 to December 31, 1989. Raleigh, N.C: Dept. of Mechanical and Aerospace Engineering, North Carolina State University, 1989.

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9

United States. National Aeronautics and Space Administration., ed. Numerical solutions of the complete Navier-Stokes equations: Progress report no. 27 for the period October 1, 1995 to September 30, 1996. Raleigh, N.C: Dept. of Mechanical and Aerospace Engineering, North Carolina State University, 1996.

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10

J, Morris Philip, and United States. National Aeronautics and Space Administration., eds. Supersonic coaxial jet noise predictions. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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11

Dash, Sanford M. Progress in the development of parabolized Navier-Stokes (PNS) methodology for analyzing propulsive jet mixing problems. New York: AIAA, 1986.

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12

Abdol-Hamid, Khaled Sayed. Development of three-dimensional code for the analysis of jet mixing problems. Part I: Laminar solution. Hampton, Va: Langley Research Center, 1988.

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13

E, Grosch C., and United States. National Aeronautics and Space Administration., eds. Mixing enhancement by tabs in round supersonic jets. [Washington, DC: National Aeronautics and Space Administration, 1998.

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14

Center, Langley Research, ed. Numerical simulation of mixing enhancement in a hot supersonic jet. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1996.

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15

J, Georgiadis Nicholas, and NASA Glenn Research Center, eds. An evaluation of parameters influencing jet mixing using the WIND Navier-Stokes Code. Cleveland, Ohio: National Aeronautics and Space Administration, Glenn Research Center, 2002.

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16

Dembowski, Mary Ann. An evaluation of parameters influencing jet mixing using the WIND Navier-Stokes Code. Cleveland, Ohio: National Aeronautics and Space Administration, Glenn Research Center, 2002.

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17

United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., ed. Development of three-dimensional code for the analysis of jet mixing problem. Washington, D.C: For sale by the National Technical Information Service, 1988.

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18

Abdol-Hamid, Khaled S. Development of three-dimensional code for the analysis of jet mixing problem. Washington, D.C: For sale by the National Technical Information Service, 1988.

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19

Wolf, D. E. Fully-coupled analysis of jet mixing problems: Three-dimensional PNS model, SCIP3D. Hampton, Va: Langley Research Center, 1988.

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20

Wolf, D. E. Fully-coupled analysis of jet mixing problems: Three-dimensional PNS model, SCIP3D. [Washington, DC]: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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21

A, Yoder Dennis, DeBonis James R, and NASA Glenn Research Center, eds. A comparison of three Navier-Stokes solvers for exhaust nozzle flowfields. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 1999.

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22

Kelly, Brian P. Ground-water flow simulation and chemical and isotopic mixing equation analysis to determine source contributions to the Missouri River alluvial aquifer in the vicinity of the Independence, Missouri, well field. Rolla, Mo: U.S. Dept. of the Interior, U.S. Geological Survey, 2002.

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23

Kelly, Brian P. Ground-water flow simulation and chemical and isotopic mixing equation analysis to determine source contributions to the Missouri River alluvial aquifer in the vicinity of the Independence, Missouri, well field. Rolla, Mo: U.S. Dept. of the Interior, U.S. Geological Survey, 2002.

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24

Kelly, Brian P. Ground-water flow simulation and chemical and isotopic mixing equation analysis to determine source contributions to the Missouri River alluvial aquifer in the vicinity of the Independence, Missouri, well field. Rolla, Mo: U.S. Dept. of the Interior, U.S. Geological Survey, 2002.

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25

Kelly, Brian P. Ground-water flow simulation and chemical and isotopic mixing equation analysis to determine source contributions to the Missouri River alluvial aquifer in the vicinity of the Independence, Missouri, well field. Rolla, Mo: U.S. Dept. of the Interior, U.S. Geological Survey, 2002.

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26

Kelly, Brian P. Ground-water flow simulation and chemical and isotopic mixing equation analysis to determine source contributions to the Missouri River alluvial aquifer in the vicinity of the Independence, Missouri, well field. Rolla, Mo: U.S. Dept. of the Interior, U.S. Geological Survey, 2002.

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27

F, Walker James, Trefny Charles J, and NASA Glenn Research Center, eds. Parametric studies of the ejector process within a turbine-based combined-cycle propulsion system. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 1999.

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28

Prants, Sergey V., Michael Yu Uleysky, and Maxim V. Budyansky. Lagrangian Oceanography: Large-scale Transport and Mixing in the Ocean. Springer, 2018.

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29

Lagrangian Oceanography: Large-scale Transport and Mixing in the Ocean. Springer, 2017.

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30

Sturman, Rob, Julio M. Ottino, and Stephen Wiggins. The Mathematical Foundations of Mixing: The Linked Twist Map as a Paradigm in Applications: Micro to Macro, Fluids to Solids (Cambridge Monographs on Applied and Computational Mathematics). Cambridge University Press, 2006.

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31

Zeitlin, Vladimir. Rotating Shallow-Water model with Horizontal Density and/or Temperature Gradients. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0014.

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The derivation of rotating shallow-water equations by vertical averaging and columnar motion hypothesis is repeated without supposing horizontal homogeneity of density/potential temperature. The so-called thermal rotating shallow-water model arises as the result. The model turns to be equivalent to gas dynamics with a specific equation of state. It is shown that it possesses Hamiltonian structure and can be derived from a variational principle. Its solution at low Rossby numbers should obey the thermo-geostrophic equilibrium, replacing the standard geostrophic equilibrium. The wave spectrum of the model is analysed, and the appearance of a whole new class of vortex instabilities of convective type, resembling asymmetric centrifugal instability and leading to a strong mixing at nonlinear stage, is demonstrated.
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32

Combined numerical/analytical perturbation solutions of the Navier-Stokes equations for aerodynamic ejector/mixer nozzle flows: Prepared under grant NGT-51244. [Washington, DC: National Aeronautics and Space Administration, 1998.

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33

Numerical solutions of the complete Navier-Stokes equations: Progress report no. 26 for the period October 1, 1994 to September 30, 1995. Raleigh, N.C: Dept. of Mechanical and Aerospace Engineering, North Carolina State University, 1995.

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34

Numerical solutions of the complete Navier-Stokes equations: Progress report no. 24 for the period July 1, 1993 to December 31, 1993. Raleigh, N.C: Dept. of Mechanical and Aerospace Engineering, North Carolina State University, 1994.

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35

Supersonic coaxial jet noise predictions. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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36

One-Dimensional Turbulence and the Stochastic Burgers Equation. American Mathematical Society, 2021.

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37

On the applicability of high-frequency approximations to Lilley's equation. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 2003.

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38

Numerical simulation of mixing enhancement in a hot supersonic jet. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1996.

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39

Fully-coupled analysis of jet mixing problems: Three-dimensional PNS model, SCIP3D. [Washington, DC]: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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40

Aamo, Ole M., and Miroslav Krstic. Flow Control by Feedback. Springer, 2002.

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