PNS (Parabolized Navier-Stokes) of Large-Angle-of-Attack Viscous Hypersonic Flows

A need has emerged for numerical schemes to predict hypersonic flows around three-dimensional configurations. The Army has shown considerable interest in applying 3-D PNS schemes to study supersonic/hypersonic flowfields around projectiles and missiles. Although the existing noniterative PNS schemes...

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Bibliographic Details
Main Authors: Bhutta, Bilal A, Lewis, Clark H
Format: Report
Language:English
Subjects:
ACCURACY
ANGLE OF ATTACK
CONFIGURATIONS
CONICAL BODIES
CORRECTIONS
COUPLING(INTERACTION)
CROSS FLOW
EFFICIENCY
FLOW FIELDS
FLOW SEPARATION
Fluid Mechanics
GUIDED MISSILES
HYPERSONIC CHARACTERISTICS
HYPERSONIC FLOW
NAVIER STOKES EQUATIONS
NUMERICAL ANALYSIS
OSCILLATION
PARABOLAS
PARABOLIC NAVIER STOKES EQUATIONS
PARABOLIZED NAVIER STOKES EQUATIONS
PREDICTIONS
PROBLEM SOLVING
PROJECTILES
SOLUTIONS(GENERAL)
STABILITY
SUPERSONIC FLOW
THREE DIMENSIONAL
THREE DIMENSIONAL FLOW
VISCOUS FLOW
VISCOUS HYPERSONIC FLOW
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Summary:A need has emerged for numerical schemes to predict hypersonic flows around three-dimensional configurations. The Army has shown considerable interest in applying 3-D PNS schemes to study supersonic/hypersonic flowfields around projectiles and missiles. Although the existing noniterative PNS schemes offer an attractive combination of accuracy and affordability, such schemes suffer from several numerical instability and inaccuracy problems. This study develops a new 3-D PNS scheme with significantly enhanced stability and accuracy characteristics. This three-dimensional PNS scheme is inherently stable in the subsonic as well as the supersonic flow regions and, thus, does not require any sublayer approximation. It uses a generalized PNS formulation to treat perfect- gas and equilibrium-air gas models in a unified manner. A second-order smoothing approach is used to damp the solution oscillations, while a pseudo-unsteady approach is used to dramatically improve the solution efficiency without compromising the solution accuracy. A new fully-implicit and crossflow-coupled shock-fitting approach has been developed, along with a new predictor-corrector solution scheme to treat large crossflow separated regions.