pset_1 - 2.29: Numerical Fluid Mechanics Problem Set 1...

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2.29: Numerical Fluid Mechanics Problem Set 1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING CAMBRIDGE, MASSACHUSETTS 02139 2.29 NUMERICAL FLUID MECHANICS— SPRING 2007 Problem Set 1 Posted 02/08/07, due Thursday 4 p.m. 02/23/07 Problem 1.1 (40 Points) Solve the below problems from “Chapara and Canale” textbook: 1.11 2.13, 2.15: Print the program and the result 3.1, 3.7, 3.9 4.5, 4.8, 4.15, 4.19 Problem 1.2 (10 Points) Review MATLAB help on these commands: realmin realmax eps Now use the eps for both single and double accuracy levels and compute the below series by calling a RECURSIVE function. Compute the relative and absolute accuracy and compare it by errors associated with numerical representation in your computer. 2 = 1 + 1 2 + 1 2 2 + 1 2 3 + 1 2 4 + ..... Problem 1.3 (10 Points) For a uniform inviscid flow passing a sphere with radius “R”, the potential field is given by: ! ( r
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pset_1 - 2.29: Numerical Fluid Mechanics Problem Set 1...

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