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?
 

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