Toth Problem
Download
1 / 15

Flux boundary conditions - PowerPoint PPT Presentation


  • 378 Views
  • Updated On :

Toth Problem (2D, steady state). z. water table. Governing Equation:. Groundwater divide. Groundwater divide. Impermeable Rock. x. Types of Boundary Conditions. Specified head (also called a Dirichlet or Type 1 boundary) 2 . Specified flux (also called a

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Flux boundary conditions' - Jeffrey


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Slide1 l.jpg

Toth Problem(2D, steady state)

z

water table

Governing Equation:

Groundwater

divide

Groundwater

divide

Impermeable Rock

x


Slide2 l.jpg

Types of Boundary Conditions

  • Specified head(also called a

  • Dirichlet or Type 1 boundary)

  • 2. Specified flux(also called a

  • Neumann or Type 2 boundary)

  • 3. Head dependent flux(also called a

  • Cauchy or Type 3 boundary)



Slide4 l.jpg

z

h = c x + zo

Groundwater

divide

Groundwater

divide

Impermeable Rock

x


Slide5 l.jpg

Toth Problem

h = c x + zo

2D, steady state


Slide6 l.jpg

Block Centered

Boundary

How to handle

flux boundary conditions

Imaginary

Node

Mesh Centered

Boundary


Slide7 l.jpg

Imaginary

Node

Mesh Centered

Boundary


Slide8 l.jpg

Mesh Centered Boundary

At RHS boundary:

i+1,j

i,j

i-1,j


Slide9 l.jpg

Mesh Centered Boundary

At LHS boundary:

i,j

i-1,j

i+1,j


Slide10 l.jpg

Block Centered

Boundary

i,j

i+1,j

Imaginary

Node


Slide11 l.jpg

For Problem Set 1:

The mesh centered grid has 11 columns

and 6 rows.

One option is to set up the block centered grid with

11 columns and 6 rows


Slide12 l.jpg

109.5

100.5

100

110

100 ft

200 ft

Toth Problem

mesh vs block centered grids – another view

x = y = a = 20 ft


Slide13 l.jpg

109.5

100.5

100

110

Toth Problem:

mesh centered has 11 columns and 6 rows block centered has 10 columns and 5 rows


Slide14 l.jpg

109.5

100.5

100

110

90 ft

Toth Problem:

mesh centered has 11 columns and 6 rows block centered has 10 columns and 5 rows


Slide15 l.jpg

Now we can set up a spreadsheet

to solve the Toth Problem.

The next step is to compute the

water budget and the error in the

water budget.


ad