TITLE: IAHR Smooth Channel Test Case

**BY:** S Semin - CHAM Development Team

**DATE:** 1996 **PHOENICS VERSION:** 2.2.1

PURPOSE OF THE CALCULATIONS:

- The problem considered is 2-dimensional, steady, laminar, isothermal flow in the geometry devised by the IAHR Working Group on Refined Modeling of Flows, and reported in the International Journal for Numerical methods in Fluids, Vol. 5, 667-683 (1985).
- The main objective of the calculations is to validate the Generalised Colocated Velocity (GCV) solver.

FLOW AND COMPUTATIONAL DETAILS :

The main features of the problem are:

- Laminar flow, Re=10.0;
- The North and South boundaries of the channel are given by the following analytical expression :

y(z) =+/- [tanh(2-30*z/Re)-tanh(2)]/2 for 0 < z< Re/3

- A parabolic profile for the axial velocity is specified at the inlet,

w=3*(y-y*y/2) for z=0 and -1 < y< 1,

v=0.

- A mesh of 64 cross-stream cells by 32 axial cells is used for a computational domain length of Re/3.
- The solutions are compared with those of Cliffe et al cited in the above reference, as a grid independent benchmark.

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