General strong conservation formulation of Navier-Stokes equations in nonorthogonal curvilinear coordinates

Journal Article · Sun May 01 04:00:00 EDT 1994 · AIAA Journal (American Institute of Aeronautics and Astronautics); (United States)

DOI:https://doi.org/10.2514/3.12077· OSTI ID:7083004

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 presents 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 formulation. 19 refs.

• OSTI ID: 7083004
• Journal Information: AIAA Journal (American Institute of Aeronautics and Astronautics); (United States), Journal Name: AIAA Journal (American Institute of Aeronautics and Astronautics); (United States) Vol. 32:5; ISSN AIAJAH; ISSN 0001-1452
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTERIZED SIMULATION
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
MESH GENERATION
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION