In the discussion, the definitions of truth T, experimental result D, modeled solution M, and simulation solution S seem to differ from ours. These key variables were defined using a sequence of initial boundary value problems (IBVP) summarized in the paper and derived in [13].

The IBVP for T by definition contains no modeling or numerical errors. Approximate solutions for T are provided by experimental, analytical, and simulation methods. Experimental methods use measurement systems and data acquisition and reduction procedures to provide D with error δD=DT. Analytical and simulation methods reformulate the IBVP for T using approximate models for the partial differential equation operators, initial and/or boundary conditions. Analytical methods solve the IBVP for M and δSM exactly, and thus are limited to simple fluid mechanics problems. The continuous IBVP for M is reduced to...

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