Response surfaces: summarizing complex simulation results in a manner suitable for inexpensive use by architects and builders
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Response surfaces are proposed as a means for summarizing simulation results. This methodology is an inexpensive way to very accurately provide: (1) assistance in choosing the minimum number of simulation runs needed to analyze a given problem; (2) a simple way to summarize the results of a complex simulation analysis; and (3) a very exact, closed form equation to represent the simulation. Essentially, this technique allows one to choose a small number of full simulations to analyze a given problem (e.g., integrating Trombe wall and direct gain in a passive solar house). A simple equation is then chosen to accurately represent the simulation. This equation is then used to accurately interpolate among the underlying simulations. These pseudo-simulations cost less than a penny to compute the auxiliary energy and comfort for an entire heating season. Standard errors under 3 therms can easily be achieved at this extremely low cost. Response surfaces also are useful in optimization problems involving thermodynamic models.