Computation of Viscous Incompressible Flows

1.- Introduction: Flow Physics; Computational Approach; What is Covered in The Monograph.- 2.- Methods for Solving Viscous Incompressible Flow Problems: Overview; Mathematical Model; Formulation for General Geometry; Overview of Solution Approaches.- 3.- Pressure Projection Method in Generalized Coordinates: Overview; Formulation in Integral Form; Discretization ; Solution Procedure; Validation of the Solution Procedure.- 4.- Artificial Compressibility Method: Formulation and Its Physical Characteristics; Steady-State Formulation; Steady-state Algorithm ; Time-Accurate Procedure; Time-Accurate Algorithm Using Upwind Differencing; Validation of Solution Procedure; Unified Formulation.- 5.- Flow Solvers and Validation: Scope of Validation; Selection of Codes for Engineering Applications; Steady Internal Flow: Curved Duct with Square Cross-Section; Time-Dependent Flow; External and Juncture Flow.- 6.- Simulation of Liquid-Propellant Rocket Engine Sub-System: Historical Background; Flow Analysis in the Space Shuttle Main Engine (SSME); Flow Analysis Task and Computational Model for the SSME Powerhead; Turbulence Modeling Issues; Analysis of the Original Three-Circular-Duct HGM Configuration; Development of the New Two Elliptic-Duct HGM Configuration.- 7.- Turbo-pump: Historical Background; Turbo-pump in Liquid-Propellant Rocket Engine; Mathematical Formulation; Validation of Simulation Procedures Using an Inducer; Application to Impeller Simulation; High-Fidelity Unsteady Flow Application to SSME Flowliners.- 8.- Hemodynamics: Introduction; Model Equations for Blood Flow Simulation; Validation of Simulation Procedure; Blood Circulation in Human Brain; Simulation of Blood Flow in Mechanical Devices.- References.- Index.