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# HW_4 - file called max_min.m(25 points 2 Darcy’s Law is...

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PGE 310: Numerical Methods with Matlab Homework #4 Due Feb 26 2009 *** Important notes about this and all future homework*** You must turn in a hard copy of all ‘.m’ files and any plots/results in the command window. Additionally, you must upload electronic versions of .m files to blackboard. We will randomly select a few each week and check to see if they run. Be sure to include lots of comments, a prologue (see book/pp notes) for function files, and meaningful variable names in all .m files. 1. (a) Create a function file, called max_min.m that went sent a vector “x” it returns to find the maximum and minimum value of the vector. In the command window, create two different vectors (or different lengths) and call the function file to show it works. (25 points) (b) Now, refer to the CorvRain.dat file we did in class, and write a script file that reads in data file, makes a plot of April rainfall versus year, and then prints the maximum and minimum rainfall for April. To do this, you must call your function

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Unformatted text preview: file called max_min.m. (25 points) 2. Darcy’s Law is an expression that relates the velocity of a fluid to pressured gradient in a porous medium. It can be expressed as ( 29 ( 29 2 ` 1 2 1 x x p p k v--= μ , or ( 29 2 1 1 2 x x k v p p--= . (a) Write a function file called darcy.m that calculates p 2 given x 1 , x 2 , p 1 , k, µ and v. Call your function file in command window, to make sure it works for different inputs. (25 points) (b) We are interested in the pressure values at x=1,4,6,7. We now have the information below: • k=1 x 10-7 , µ=2, q=2 for every point • at x=1, p=1000 write a script file using the function file created in (a) to calculate the pressure value at x=4,6,7. (hint: pressure at x=6 is determined by pressure at x=4, so you need to calculate pressure at x=4 before you calculate the pressure at x=6. in other words, you need to use a loop to call your function file to complete the calculation at every step. (25 points)...
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