A general strong conservation formulation of Navier-Stokes equations in non-orthogonal curvilinear coordinates

Conference · Wed Jan 01 04:00:00 EST 1992

OSTI ID:5444464

Yang, H Q; Habchi, S D; Przekwas, A J ^[1]

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1. CFD Research Corp., Huntsville, AL (United States)

The selection of primary dependent variables for the solution of Navier-Stokes equations in the curvilinear body fitted coordinates is still an unsettled issue. Reported formulations with primitive variables involve contravariant velocity components, cartesian components and velocity projections, also known as resolutes. Most of the formulations result in a weak conservation form of the momentum equations which contain grid line curvature- and divergence-related Coriolis and centrifugal terms. This paper proposes a general strong conservation formulation of the momentum equations allowing the flexibility in choosing the various forms of the velocity components as the dependent variables. Ambiguous issues relating geometrical topology and forms of governing equations are discussed and clarified. Computational results obtained with both strong and weak forms are presented and compared to known analytical/experimental data. The results confirm the soundness of the proposed formulation. 21 refs.

• OSTI ID: 5444464
• Report Number(s): CONF-920157--; AIAA-Paper--92-0187
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
IDEAL FLOW
MECHANICS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SUPERSONIC FLOW
THREE-DIMENSIONAL CALCULATIONS
VISCOUS FLOW