Abstract
It was the belief of the late Professor R. Thomas Davis that numerical methods should honor, and in fact be based on, the fundamental physics of the flows in question. This philosophy was perhaps best exemplified in his work during the 1970s and 1980s in the areas of interacting boundary-layer theory (IBLT) and parabolized Navier-Stokes (PNS) methodologies. In this paper we would like to review some of Professor Davis' fundamental contributions to these two fields within the context of his philosophical approach to computational fluid mechanics. We will also discuss how this work has impacted more recent developments in the field of IBLT and PNS methods for steady flows.
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