2-d integrals Log Out | Topics | Search
Moderators | Register | Edit Profile

FlexPDE User's Forum » User Postings » 2-d integrals « Previous Next »

Author Message
Top of pagePrevious messageNext messageBottom of page Link to this message

amy peterson (amy_peterson)
New member
Username: amy_peterson

Post Number: 1
Registered: 12-2004
Posted on Tuesday, December 07, 2004 - 04:53 pm:   

Hi,
I have a question regarding integrals.
Consider a 2-d rect. bar. I would like to take the integral at diff values of x wrt to y down the length of the bar (x = horizontal y = vertical) and then plot these values. How would I write this?
thanks
Amy
Top of pagePrevious messageNext messageBottom of page Link to this message

Robert G. Nelson (rgnelson)
Moderator
Username: rgnelson

Post Number: 274
Registered: 06-2003
Posted on Tuesday, December 07, 2004 - 09:35 pm:   

Define a new variable, say G, and specify its equation as
dy(G)=<expression>
Specify Value(G)=0 as the boundary condition on Y=Ymin.
Then plot G on the top surface.
Top of pagePrevious messageNext messageBottom of page Link to this message

amy peterson (amy_peterson)
New member
Username: amy_peterson

Post Number: 2
Registered: 12-2004
Posted on Thursday, December 09, 2004 - 05:01 pm:   

For the 2-d rect bar I am solving the equation: div(-k*grad(phi))=0 and I want to integrate Phi wrt to y at x=1,2,.... I then want to export these values to plot the curve.
Top of pagePrevious messageNext messageBottom of page Link to this message

Robert G. Nelson (rgnelson)
Moderator
Username: rgnelson

Post Number: 281
Registered: 06-2003
Posted on Thursday, December 09, 2004 - 06:50 pm:   

Here's what I said last time:
VARIABLES
Phi
G
EQUATIONS
div(-k*grad(phi))=0
dy(g) = phi
BOUNDARIES
REGION 1
START(0,0)
VALUE(G)=0
LINE TO (L,0) TO (L,H) TO (0,H) TO FINISH
PLOTS
ELEVATION(G) FROM (0,H) TO (L,H)
Notice that if dy(G)=phi, then G=integral(phi*dy).


If you insist on exporting, then draw some features:
FEATURE START "F1" (1,ymin) LINE TO (1,ymax)
FEATURE START "F2" (2,ymin) LINE TO (2,ymax)
...

Then plot the values along these lines:
SUMMARY EXPORT FILE="Integrals"
REPORT LINE_INTEGRAL(phi,"F1")
REPORT LINE_INTEGRAL(phi,"F2")
...

Add Your Message Here
Post:
Username: Posting Information:
This is a private posting area. Only registered users and moderators may post messages here.
Password:
Options: Enable HTML code in message
Automatically activate URLs in message
Action:

Topics | Last Day | Last Week | Tree View | Search | Help/Instructions | Program Credits Administration