Numerical methods in fluid dynamics
Abstract
Transonic flow calculations are examined, taking into account the formulation of transonic flow problems, the solution of the transonic smalldisturbance equation, the solution of the exact potential flow equation, accelerated iterative methods, and various applications, including airfoil calculations using a mapping to a circle, boundarylayer correction, nacelle calculations, and the calculation of the flow past a swept wing. The application of numerical methods to physiological flows is considered along with some recent progress in transonic flow computations, panel methods in aerodynamics, analysis and design methods for threedimensional flows, and the direct numerical simulation of complex gasdynamics flows on the basis of Euler, NavierStokes, and Boltzmann models. Attention is given to prosthetic heart valves, local vessel constrictions, steady threedimensional flows about wings and wingfuselage configurations, the analysis of inviscid unsteady transonic flows, the computation of separated transonic turbulent flows about airfoils, the finitevolume method, airfoil design by numerical optimization, and transonic smalldisturbance theory.
 Publication:

Washington
 Pub Date:
 1978
 Bibcode:
 1978hemi.book.....W
 Keywords:

 Blood Flow;
 Fluid Dynamics;
 Numerical Analysis;
 Transonic Flow;
 Aerodynamics;
 BodyWing Configurations;
 Boltzmann Transport Equation;
 Compressible Flow;
 Constrictions;
 Euler Equations Of Motion;
 Finite Difference Theory;
 Gas Dynamics;
 Heart Valves;
 Incompressible Flow;
 Inviscid Flow;
 Mathematical Models;
 NavierStokes Equation;
 Potential Flow;
 Rarefied Gas Dynamics;
 Small Perturbation Flow;
 Three Dimensional Flow;
 Turbulent Flow;
 Viscous Flow;
 Wings;
 Fluid Mechanics and Heat Transfer