Capacity Matrix - transient heat

[dinaharchery]

Initial Nodal Temperatures

Please Help,

I am learning how to do 2-D time-dependent linear heat conduction for Finite Elements, and am progressing but have a question with nodal heat values.

I am using the explicit Euler Forward Difference algorithm and as such need to set initial nodal temperatures in the solution vector. Can the initial nodal temperatures be set to 1? I have some boundaries in the model (convection edge, and specific temperatures at a couple of nodes), should these values come into play for the initial nodal temperatures?

Thank you for any help.

 

[Achy47]

Thank you for your question regarding initial nodal temperatures in 2-D time-dependent linear heat conduction for Finite Elements. The initial nodal temperatures can indeed be set to 1, as this is a common practice in numerical simulations. However, it is important to consider the boundary conditions in your model when setting these initial temperatures.

The boundary conditions, such as convection edges and specific temperatures at certain nodes, will affect the heat flow and temperature distribution within your model. Therefore, it is recommended to incorporate these boundary conditions into your initial nodal temperatures, as they will impact the overall solution of your simulation.

Additionally, it is important to ensure that the initial nodal temperatures are consistent with the boundary conditions throughout the simulation. This will help to ensure accurate and reliable results.

I hope this helps answer your question. Please let me know if you have any further inquiries. Good luck with your simulations!