Hello Maple Community,

I'm working on solving a PDE system for fluid flow in an L-shaped cavity (similar to previous work on H-shaped and square domains ) recently asked by some one here. I've implemented the governing equations in Maple but need help generating contour plots.

I'm attaching:
1. My Maple worksheet l_shape_cavity.mw
2. A PDF with the problem description and equations L_shape_cavity_work.pdf

The main issues I'm facing are:
- Setting up proper boundary conditions for the L-shaped domain
- Generating contour plots for velocity and pressure fields
- Ensuring the solution converges properly

Could you please help me with:
1. Correct implementation of the L-shaped domain geometry
2. Generating proper contour plots
3. Any suggestions for improving the numerical solution

Thank you for your assistance!

How to solve two boundary problems in one graph not getting graphs shown in pdf
symetry_paper_work.mw
symmetry_graphs_pdf.pdf

How to get table values 

why this error is getting. but in the published paper for the same parameter it is converging. what is the mistake in this worksheet please rectify it in sachin_base_paper.mw

How to solve these pde equations in maple to get the similar type graphs.

Ode equations we can solve directly but these equations are pde .

in the article they have solved the governing equations by series solution? 

can we solve these equations in maple also by series solution or any other method is there to solve these equations

Dear sir,

In the given problem, eta = 0 to 20, I want the table value of eta for a step size of 1000 (0 to 20 in thousand parts).

i have calculated only for one value, zero

Download Demo_paper_work.mw