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From the preface: Fluid dynamics is an excellent example of how recent advances in computational tools and techniques permit the rapid advance of basic and applied science. The development of computational fluid dynamics (CFD) has opened new areas of research and has significantly supplemented information available from experimental measurements. Scientific computing is directly responsible for such recent developments as the secondary instability theory of transition to turbulence, dynamical systems analyses of routes to chaos, ideas on the geometry of turbulence, direct simulations of turbulence, three-dimensional full-aircraft flow analyses, and so on. We believe that CFD has already achieved a status in the tool-kit of fluid mechanicians equal to that of the classical scientific techniques of mathematical analysis and laboratory experiment.
List of contents
Contents: Finite/Spectral Element Navier-Stokes Methods on Vector Hypercubes and Geometry-Defining Processor Reconfigurable Lattices.- A Comparative Study of TVB, TVD and ENO Schemes for the Euler Equations.- An Improved Upwind Scheme for the Euler Equations.- Front Tracking and the Interaction of Nonlinear Hyperbolic Waves.- Computational Test of the Renormalization Group Theory of Turbulence.- Energy and Dissipation Range Spectra in the Range of Homogeneous Turbulence.- A Unified Pressure Correction Algorithm for Computing Complex Fluid Flows.- The Finite Element Method in Viscous Incompressible Flows.- Computations of Taylor Vortex Flows Using Multigrid Continuation Methods.- A Variational Finite Element Method for Compressible Navier-Stokes Flows.- Supercomputing and the Finite Element Approximation of the Navier-Stokes Equations for Incompressible Viscous Fluids.- Recent Progress on Essentially Non-Oscillatory Shock Capturing Schemes.- Large-Eddy Simulations of Flows in a Ramjet Combustor.- Aerodynamic Design via Control Theory.- The Application of Multiple One-dimensional Adaptive Grid Method.- Numerical Solutions for Unsteady Aerofoil by Internal Singularity Method.- The Vertical Motion of Atmosphere Computed and Adjusted by Variational Method.- Study of Unsteady Flow in the Heat Exchanger by the Method of Characteristics.- Penalty Finite Element Applications to Flow Problems.- Resolution Requirements for Numerical Simulations of Transition.- Computation of Flow Past 3-D Hills.
