Solution of Nonlinear Water Wave Problems Using Boundary - Fitted Coordinate Systems,
DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD
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At the David W. Taylor Naval Ship RD Center the authors have been investigating the application of numerically generated curvilinear coordinate systems to ship wave problems. These are water wave problems with a body present, and this investigation is part of a broader effort over the past few years to develop and test numerical techniques for use in ship performance prediction. Since no one numerical method is best for all problems, and a wide variety of promising methods is available, the work has involved the investigation of the capabilities of various methods. This paper presents an account of their experience in applying numerically-generated coordinate systems to water wave problems and a brief discussion of closely-related efforts underway elsewhere. Application to free-surface potential flow is highlighted since most of our work so far has focused on such inviscid flows. Similar coordinate generation techniques could be used for viscous free-surface problems.