Access Millions of academic & study documents

P0

Content type
User Generated
Subject
Numerical Analysis
School
University of Abudhabi
Type
Homework
Showing Page:
1/11

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/11

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/11

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 11 pages?
Access Now
Unformatted Attachment Preview
• 27th March Numerical Solution 2021 « of Unsteady Advection Dispersion Equation » • Prepared by: • Introduction • Fiche descriptive • Assume you have a 20m×50m rectangular pond. • A pollutant enters a 1m×1m rectangular section at the center of pond and initially has the solute concentration of 1000[ML-3], while the solute concentration at other sections of this pond is zero. • At the boundaries the concentration of the pollutant will remain zero Introduction 3 • Problem •  =]0, 20[]0,50[ C ((x , y ),0) = 1000 ;(x , y ) Center of the pond Such that : C :The solute concentration C ((x , y ), t ) = 0 (x , y )   Problem 4 • Explicit method • By applying Finite difference method and precisely the explicit method , we got a discrete approximation of the advection dispersion formula • • Explicit method 5  (1 − 2 ) +  +  k +1 C =    0   C k = AC k +   (1 + 2 )  0 + A Explicit method 6 • k=0 • At the initial instant (k=0), we notice that the solute concentration is very high, precisely in the center of the pond, that’s confirm the hypothesis Result 7 • k=1 • At k=1 we notice (based on the figure on the left) that the solute concentration decreases but the covered space become more wide Result 8 • k=5 • the solute concentration continue to decline and the covered space become wider and wider Result 9 • k=10 • ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.
Studypool
4.7
Indeed
4.5
Sitejabber
4.4