Hartke et al. 1988
Hartke, G.J., V.M. Canuto, and C.T. Alonso, 1988: A direct interaction approximation treatment of turbulence in a compressible flud. I. Formalism. Phys. Fluids, 31, 1034-1050, doi:10.1063/1.866784.
The direct interaction approximation (DIA) Is used to treat turbulence in a compressible medium with constant mean gradients. The set of coupled nonlinear integrodifferential equations is derived that is satisfied by the transverse and longitudinal ebnergy spectral functions, QT and QL, and by the transverse and longitudinal response functions, GT and GL. Finally, expressions for the average of the product of pairs of physically relevant fluctuating quantities (velocity, temperature, density) are derived in terms of QT and QL. The numerical solution of this set of equations will be rpesented in part II of this work.
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Hartke, G.J., Canuto, V.M., and Alonso, C.T.: A direct interaction approximation treatment of turbulence in a compressible flud. I. Formalism, Phys. Fluids, 31, 1034-1050, doi:10.1063/1.866784, 1988.
Hartke, G.J., V.M. Canuto, and C.T. Alonso (1988), A direct interaction approximation treatment of turbulence in a compressible flud. I. Formalism, Phys. Fluids, 31, 1034-1050, doi:10.1063/1.866784.
Hartke, G.J., V.M. Canuto, and C.T. Alonso, 1988: A direct interaction approximation treatment of turbulence in a compressible flud. I. Formalism. Phys. Fluids, 31, 1034-1050, doi:10.1063/1.866784.
Hartke, G.J., Canuto, V.M., & Alonso, C.T. 1988, Phys. Fluids, 31, 1034, doi:10.1063/1.866784.
Hartke GJ, Canuto VM, Alonso CT. A direct interaction approximation treatment of turbulence in a compressible flud. I. Formalism, Phys Fluids 1988;31:1034-1050. doi:10.1063/1.866784.
G.J. Hartke, V.M. Canuto, C.T. Alonso, Phys. Fluids 31, 1034-1050, doi:10.1063/1.866784 (1988).
