Table 2 Notable scientific contribution to the evolution of STG
Contribution | References |
|---|---|
• The fundamental idea of STG was introduced in 1970. • Described velocity field as the summation of Fourier modes. • The amplitude and phase of the modes are random. | [115] |
• The method introduced in [115] was improved later in this study. • Proposed an isotropic turbulence generation technique. • Produced turbulence with target root mean square value, and zero mean value. | [116] |
• One of the embryonic limitations of the STG approach was the need for longer length before developing the characteristics of realistic turbulence. • Proposed improvement introduced space correlation between fluctuations. | [110] |
• The problem was alternately addressed by employing goniometric functions so that target fluctuations can be imposed, and desired spectral distribution can be obtained. | |
• Introduced inflow for noise modeling in case of free jet flows. | [119] |
• Random flow generation is proposed for turbulent shear flows. • Spatial inhomogeneity and anisotropic nature of stresses. • Accepts a priori Reynolds stress tensor, length, and time scale as input. | [120] |
• The cited studies made improvements over the previous four studies. • Enhanced anisotropic features and turbulence spectral content. | |
• Similar approaches were proposed recently for aerodynamic applications. • Anisotropic and inhomogeneous features are ensured in the flow generation. • Suitable for RANS, LES, and DNS applications. | |
• STG involving digital filtering method was introduced in the cited study. | [107] |
• Pioneering articles proposing STG techniques that satisfy divergence free condition: • By superimposing harmonic functions [120]. • The method proposed in [120] was improved by employing Von Karman spectrum instead of Gaussian model [112]. • The velocity potential for divergence free condition was derived and the numerical solution was computed [123]. • A similar method was proposed in that demonstrated reduction in pressure variations [124]. |  |