Creating a temperature field

[WilkAndy]

Hi everyone,

I want to create a temperature field (the central region is hot) as follows.

The temperature field is given by
which from the paper (Hu, Acta Materialia 58 (2010) 3230–3237)
https://www.sciencedirect.com/science/article/pii/S1359645410000571

My question is that how can I build this temperature field in MOOSE?

Best,

Peng

[WilkAndy]

I would use one of the "Parsed Function" objects in MOOSE. For instance, if your temperature field is an IC, then use FunctionIC, while if your temperature field is an AuxVariable, then use a ParsedAux AuxKernel. Just specify your function in the function input parameter in either case.

a

[dschwen]

Not quite. One way is to use a

[temperature]
  type = ParsedAux
  use_xyzt = true
  function = 'x^2 + cos(x ...`
  execute_on = INITIAL
[]

the other is to use

[temperature]
  type = FunctionAux
  function = 'x^2 + cos(x ...`
  execute_on = INITIAL
[]

No IC needed