CALCULATION OF WALL-BOUNDED COMPLEX FLOWS AND FREE SHEAR FLOWS

Various wall-bounded flows with complex geometries and free shear flow s have been studied with a newly developed realizable Reynolds stress algebraic equation model. The model development is based on the invari ant theory in continuum mechanics. This theory enables us to formulate a general constitutive relation for the Reynolds stresses. Pope (J. F luid Mech., 72, 331-340 (1975)) was the first to introduce this kind o f constitutive relation to turbulence modelling. In our study, realiza bility is imposed on the truncated constitutive relation to determine the coefficients so that, unlike the standard k-epsilon eddy viscosity model, the present model will not produce negative normal stresses in any situations of rapid distortion. The calculations based on the pre sent model have shown encouraging success in modelling complex turbule nt flows.