Using a finite element method.

Dear Makashaw Ali,

Yes of course, you can solve it by finite difference methods. One of the popular software is Ansys Fluent. What is your real problem?

The ANSYS software using finite element method (FEM).

Sorry. The ANSYS software using finite volume method.

Dr. Nazaruddin S.

I dont agree..

The ANSYS software using finite element method (FEM).

ANSYS software allows you to solve your most complex structural engineering projects and make superior design decisions more quickly. Finite element analysis (FEA) software from ANSYS provides engineers the ability to automate and customize simulations and even parameterize them for many design scenarios.

Sorry, I mean the Ansys Fluent uses finite volume methods, not all the Ansys softwares....

If finite difference method is applicable probably depends on your problem's geometry, since the method needs structured regular hexahedral meshes it is not possible to match every 3D form (even if there are complicated methods, which allow more complicated geometries to be modeled with finite difference method, it is not very desirable).

While the finite difference method is more related to the actual differential equation and therefore is probably easier to understand and also more easy to self implement for simple geometries, you may use another method for various reasons.

For example if you want to be very flexible with different geometries you probably want to use the Finite Element or Finite Volume Method, where Finite Volume Method is somehow more specific in the field of fluid dynamic problems coupled with heat transfer problems and the finite element method being a more generic method. Of course their are many more method FDM, FVM and FEM are probably the most common ones, but there may be better methods depending on your specific problem.

You can get an overview of different FEM software packages under this link: https://en.wikipedia.org/wiki/List_of_finite_element_software_packages.

However if you have access to Matlab, which is often the case in many universities you may have a look at: https://www.mathworks.com/products/pde/features.html#thermal-analysis

Yes, I agree with Christian Schubert

Based on some calculation result benchmarking, the finite volume method generally would give a more accurate results compare to finite element for fluid dynamic problems.

Hello Mekashaw Ali

Where are you?

The solution and worked out examples are given in:

http://www.cfdrecipes.com/publish.html

The Fluent and ANSYS Fluent softwares using Finite Volume Method.

Hello Nazaruddin Sinaga. I'm in Ethiopia. what about you?

Hi Mekashaw Ali

Please give your response to one'a comments.

Thank you.

Analytically I advice you to read

http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361500178S.pdf

and change any boundary condition you wish

numerically I advice you to solve heat equation using FEM , see

the finite element method in engineering,4th ed. Elsevier Science & Technology Books(2004) Miami by S. S. Rao