Epitomizing the glamour and decadence of 1980s Reagan-era America, DYNASTY was essentially a prime-time soap opera, and was characterized by campy, melodramatic plotlines, as well as Joan Collins's magnetic performance as the conniving Alexis Colby. She is divorced from Blake Carrington (John Forsythe), a fabulously wealthy oil magnate who marries his secretary, Krystle Jennings (Linda Evans), at the show's inception; the jealous Alexis schemes to do everything she can to destroy their union. The rest of the cast includes Blake and Alexis's children--the promiscuous amnesiac Fallon and the sexually ambivalent Steven--as well as resident geologist Matthew Blaisdel and his psychotic wife, Claudia.

During the third season, Blake's long-lost son Adam comes knocking, Alexis wrests control of a rival oil firm, and a freak explosion causes Steven to have extensive plastic surgery, supplying him with a new face (that of actor Jack Coleman).

This monograph is the result of my PhD thesis work in Computational Fluid Dynamics at the Massachusettes Institute of Technology under the supervision of Professor Earll Murman. A new finite element al gorithm is presented for solving the steady Euler equations describing the flow of an inviscid, compressible, ideal gas. This algorithm uses a finite element spatial discretization coupled with a Runge-Kutta time integration to relax to steady state. It is shown that other algorithms, such as finite difference and finite volume methods, can be derived using finite element principles. A higher-order biquadratic approximation is introduced. Several test problems are computed to verify the algorithms. Adaptive gridding in two and three dimensions using quadrilateral and hexahedral elements is developed and verified. Adaptation is shown to provide CPU savings of a factor of 2 to 16, and biquadratic elements are shown to provide potential savings of a factor of 2 to 6. An analysis of the dispersive properties of several discretization methods for the Euler equations is presented, and results allowing the prediction of dispersive errors are obtained. The adaptive algorithm is applied to the solution of several flows in scramjet inlets in two and three dimensions, demonstrat ing some of the varied physics associated with these flows. Some issues in the design and implementation of adaptive finite element algorithms on vector and parallel computers are discussed."