Hope all are well. I am interested in learning how to handle physical units in a numerical method. I have a differential equation that describes fluid's stability (i.e. Orr-Sommerfeld). In the process of attempting to solve it using a projection method (i.e. Continuous Orthonormalization) I am in doubt how to handle and incorporate the physical units.
I've seen an approach in which the differential equation is converted to a dimensionless equivalent. The other approach is to leave the differential equation intact. Both cases are then handled in the numerical method.
My questions are;
-What is the correct approach (i.e. dimension or dimensionless)?
-Is there a good reference book on the subject of handling units in numerial methods?
Thanks In Advance For Any Help