Excel for solving coupled PDE

nurlanj

New Member
Joined
Apr 30, 2023
Messages
2
Office Version
  1. 365
Platform
  1. Windows
Hi,

I am trying to solve Coupled PDE describing flow of two fluids in centrifugal field.
PDEs are solved using Newton iteration method using fully implicit scheme for pressure and saturations.
In short, I established a matrix of partial derivatives (Jacobian), which are used to find incremets of the solution by iterative process.
For some reason the solution is unstable, sometimes it doesnt even converge for the first time step.
Attached is the excel file, maybe someone can help me find a mistake or guide to right direction?
 

Excel Facts

Select a hidden cell
Somehide hide payroll data in column G? Press F5. Type G1. Enter. Look in formula bar while you arrow down through G.

Forum statistics

Threads
1,216,095
Messages
6,128,795
Members
449,468
Latest member
AGreen17

We've detected that you are using an adblocker.

We have a great community of people providing Excel help here, but the hosting costs are enormous. You can help keep this site running by allowing ads on MrExcel.com.
Allow Ads at MrExcel

Which adblocker are you using?

Disable AdBlock

Follow these easy steps to disable AdBlock

1)Click on the icon in the browser’s toolbar.
2)Click on the icon in the browser’s toolbar.
2)Click on the "Pause on this site" option.
Go back

Disable AdBlock Plus

Follow these easy steps to disable AdBlock Plus

1)Click on the icon in the browser’s toolbar.
2)Click on the toggle to disable it for "mrexcel.com".
Go back

Disable uBlock Origin

Follow these easy steps to disable uBlock Origin

1)Click on the icon in the browser’s toolbar.
2)Click on the "Power" button.
3)Click on the "Refresh" button.
Go back

Disable uBlock

Follow these easy steps to disable uBlock

1)Click on the icon in the browser’s toolbar.
2)Click on the "Power" button.
3)Click on the "Refresh" button.
Go back
Back
Top