NUMERICAL-SIMULATION OF TURBULENT SHEAR-FLOW USING HIGHER-ORDER TAYLOR-SERIES EXPANSION METHOD

A higher order Taylor series expansion method is applied to highly acc urate numerical simulation of turbulent flow. In the present study, ce ntral difference scheme-like methods are adopted for an even expansion order, and upwind difference scheme-like methods are adopted for an o dd order. The latter methods provide reduced numerical errors, but als o numerical instability, arising from the convection terms in the gove rning equations. The numerical simulation of turbulent shear flow in a rectangular channel (Reynolds number=1.7x10(4)) is carried out. The n umerical velocity fields are compared with experimental results measur ed by LDV, and it is confirmed that the higher and odd order methods c an simulate mean velocity distributions, root-mean-square velocity flu ctuations and Reynolds stress with good agreement.