Implicit upwind solution algorithms for three-dimensional unstructured meshes

Journal Article · Sat May 01 04:00:00 EDT 1993 · AIAA Journal (American Institute of Aeronautics and Astronautics); (United States)

DOI:https://doi.org/10.2514/3.11685· OSTI ID:6231073

Batina, J T ^[1]

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1. NASA, Langley Research Center, Hampton, VA (United States)

The development of implicit upwind algorithms for the solution of the three-dimensional, time-dependent Euler equations on unstructured tetrahedral meshes is described. The implicit temporal discretization involves either a two-sweep Gauss-Seide relaxation procedure, a two-sweep Point-Jacobi relaxation procedure, or a single-sweep Point-Implicit procedure; the upwind spatial discretization is based on the flux-difference splitting of Roe. Detailed descriptions of the three implicit solution algorithms are given, and calculations for the Boeing 747 transport configuration are presented to demonstrate the algorithms. Advantages and disadvantages of the implicit algorithms are discussed. A steady-state solution for the 747 configuration, obtained at transonic flow conditions using a mesh of over 100,000 cells, required less than one hour of CPU time on a Cray-2 computer, thus demonstrating the speed and robustness of the general capability. 10 refs.

• OSTI ID: 6231073
• 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. 31:5; 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
ALGORITHMS
COMPUTERIZED SIMULATION
COMPUTERS
CRAY COMPUTERS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
MATHEMATICAL LOGIC
MESH GENERATION
PARALLEL PROCESSING
PROGRAMMING
SIMULATION
STEADY FLOW
TIME DEPENDENCE
TRANSONIC FLOW