Sensitivity Analysis of the Deal‐Grove Model Parameters: Problem Definition and Strategy Considerations

Abstract

In this work the Deal‐Grove (DG) oxidation model, being the key ingredient in many current oxidation models, has been examined in detail from the physical and numerical point of view. It is clearly proven that for a rather broad range of (B/A, B) combinations the fitting error is smaller than the experimental error. So there exists a wide range of allowable parameters of the Deal‐Grove model to satisfy different physical explanations. This means that a good fit alone is not a sufficient criterion to validate a possible physical model. It is also demonstrated that the existence of breakpoints in the temperature behavior could be seen as an artifact of the model parameters extraction procedure normally used. Therefore, a new and efficient parameter extraction strategy, which carefully considers the influence of experimental errors, is suggested in this work. As an example, a physically acceptable expression for the parameters in the is found as a substitute for the look‐up table used in SUPREM‐3.