Frontiers of computational fluid dynamics 1998

This book is an exposition of a new approach to the Navier-Stokes equations, using powerful techniques provided by a nonstandard analysis, as developed by the authors. The topics studied include the existence and uniqueness of weak solutions, statistical solutions and the solution of general stochastic equations. The authors provide a self-contained introduction to the nonstandard analysis, designed with applied mathematicians in mind and concentrated specifically on techniques applicable to Navier-Stokes equations. The subsequent expositon shows how these new techniques allow a quick and intuitive entrance into the mathematical theory of hydrodynamics, as well as provide a research tool that has proven useful in solving open problems concerning stochastic equations A review of the contributions of Earll Murman to transonic flow and computational fluid dynamics / Hafez & Caughey -- Optimal hypersonic conical wings / Triantafillou, Schwendeman & Cole -- Geometry for theoretical, applied, and educational fluid dynamics / Sobieczky -- Computation of an axisymmetric nozzle flow / Cook ... [et al.] -- Analysis and numerical simulation of the superboom problem / Cheng & Hafez -- Complex analysis of transonic flow / Chen & Garabedian -- Transonic small transverse perturbation equation and its computation / Luo, Shen, & Liu -- Excitation of absolutely unstable disturbances in boundary-layer flows / Ryzhov & Terent'ev -- On adjoint equations for error analysis and optimal grid adaptation in CFD / Giles -- Added dissipation in flow computations / MacCormack -- A four-operators conservative scheme for the Euler equations / Chattot -- Autoblocking for wings with split and hinged flaps / Eberhardt & Wibowo -- Local preconditioning : manipulating Mother Nature to fool Father Time / Darmofal & Van Leer -- Relaxation revisited--a fresh look at multigrid for steady flows / Roberts, Sidilkover & Swanson -- Aerospace engineering simulations on parallel computers / Morgan ... [et al.] -- Optimizing CFD codes and algorithms for use on Cray computers / Wigton -- Recent applications in aerodynamcis with NSMB structured MultiBlock solver / Weber ... [et al.] -- Incompressible Navier-Stokes computations in aerospace applications and beyond / Kwak ... [et al.] -- Pros & cons of airfoil optimization / Drela -- Towards industrial strength Navier-Stokes codes - a revisit / Jou -- What have we learned from computational fluid dynamics research on train aerodynamics? / Fujii & Ogawa -- On the pursuit of value with CFD / Rubbert -- CFD at a crossroads : an industry perpsective / Raj --Aerospace engineering 2000 : an integrated, hands-on curriculum / Seebass & Peterson -- Computer-based fluid mechanics textbook / Caughey & Liggett