If I scale up my domain by a factor of 10 and also increase my grid sizing by a factor of 10, will it produce the same results?
It depends on what type of mesh you have generated and what are you solving.
If you are using Fluent you need not to scale in meshing. You can scale in Fluent.
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It'll also depend whether that changes the flow regime or the like: a factor of 10 in the Reynolds Number tends to make a different to the result!
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