How to understand dimensionless data of MacCormack's method

[ulfaazmi]

Dear, everyone..

I am doing a numerical investigation of unsteady heat transfer in a Newtonian fluid occupying a square cavity. I solved numerically using HSMAC(Highly Simplified Marker and Cell) finite difference approach as the governing dimensionless equation. The fluid flow is simulated with a heating on vertical side (left) wall and a cooling on vertical side (right) wall. The program has been exist, so I only studied the code of program to get the data and it has been done. but my problem is the data are dimensionless, so need I return those data into dimensional term before drawing??

for example: Vx= nondimensional of velocity in x-axis, and I already got the values.
v = dimensional of velocity in x-axis, where Vx = v/V*
so that in the equation, I defined v = Vx . V*.
where, V*= α/L , α = thermal diffusivity (m2/s), L= Height of enclosure in x-axis (m)

So, need I change the data to get the dimensional parameter as like v,P,T before plotting?? need I change the Vx to v ?
hopefully someone can help me..
thank you.

 

[scottdave]

I guess you really want units? So do you know the dimensions (or units) of the input data? What about the governing formula that the code is based on? What would you expect the output to be. Remember that there may be something like Δx or Δt which will be like your step size, but it will carry a dimension.