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![Consider a steady, frictionless one-dimensional flow of water through a nozzle. Use collocated grid as shown in the figure, where both pressure and u-velocity are evaluated at the cell centers. The area of the diffuser varies linearly from 0.5 m2 (where pressure is given as 10 Pa) to 0.1 m2. The density of the fluid is 1 kg/m3 and the length of the nozzle is 1 m. u1 u2 u3 u4 BC2 BCIP 10 Pa Demonstrate the procedure of either SIMPLE algorithm for two iterations or PROJECTION (fractional step) method for two time steps of At 0.1. Consider initial guess/conditions are as follows: p [4, 3, 2, 11 and u- 1.1111, 1.4286, 2.0000, 3.3333]](https://d2vlcm61l7u1fs.cloudfront.net/media%2F112%2F112c20d6-ad67-41ef-9f3b-e0ed779c9634%2Fphppu5ktk.png)
Consider a steady, frictionless one-dimensional flow of water through a nozzle. Use collocated grid as shown in the figure, where both pressure and u-velocity are evaluated at the cell centers. The area of the diffuser varies linearly from 0.5 m^2 (where pressure is given as 10 Pa) to 0.1 m^2. The density of the fluid is 1 kg/m^3 and the length of the nozzle is 1 m. Demonstrate the procedure of either SIMPLE algorithm for two iterations or PROJECTION (fractional step) method for two time steps of Delta t = 0.1. Consider initial guess/conditions are as follows: p = [4, 3, 2, 1] and w = [1.1111, 1.4286, 2.0000, 3.3333].
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