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Numerical computation of vortical flow fields of double-delta wings moving in a compressible viscous medium. (English) Zbl 0809.76074

Summary: Detailed study of the flows around double-delta wings is undertaken by performing numerical simulation of the Navier-Stokes equations in finite- volume formulation. The turbulent viscous stresses are accounted for by means of eddy viscosity model. For the discretization of the space around the wings 0-0 grid topologies have been used. The analysis includes the study of the spiraling vortices in the cross-flow fields comprising velocity and pressure distributions as well as the loss in total pressure.The details of the wing surface flow and the resulting surface pressure distributions yield further essential results, including total forces and moments of the wings. The computation method is applicable for subsonic, transonic and supersonic onflow Mach numbers. The numerical results are well validated with experimental data.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76G25 General aerodynamics and subsonic flows
Full Text: DOI

References:

[1] Lax, Comm. Pure & Appl. Math. 13 pp 217– (1966)
[2] Beam, AIAA Jour. 14 pp 1241– (1976)
[3] ; : Flux vector splitting of inviscid gasdynamic equations with application to finite difference methods. NASA TM 78605 (1979).
[4] ; ; : Numerical solution of the Euler equations by finite volume method using Runge-Kutta time stepping schemes. AIAA-Paper 81–1259 (1981).
[5] Murman, AGARD Cong. Proc. No. 412 pp 51– (1986)
[6] Raj, ICAS Proc 1 pp 604– (1988)
[7] Kumar, IUTAM Symposium Transonicum pp 317– (1988)
[8] ; : Computation of vortex flow around a Canard-delta wing combination. Proc. of 5th GAMM Conference on Numerical Methods in Fluid Mechanics (1983), 65–80.
[9] Scherr, ICAS Proc. 2 pp 1428– (1988)
[10] Longo, AIAA 90–3003 (1990)
[11] Radespiel, DFVLR-FB 85–31 (1985)
[12] Rossow, AGARD Proc. CPP-437 pp p14.1– (1988)
[13] MacCormack, AIAA Jour. 20 pp 1275– (1982)
[14] Beam, AIAA Journ. 16 pp 385– (1978)
[15] : Current status of numerical solutions of the Navier-Stokes equations. AIAA-Paper 85–0032 (1985).
[16] ; : Navier-Stokes computatiosn of lee-side flows over delta wings. AIAA Paper 86–1049 (1986).
[17] ; : Navier-Stokes simulation of laminar flow over a 65 deg round leading edge delta wing at M{\(\alpha\)} = 0.85 and {\(\delta\)} =10alpha;. Proc. Int. Vortex Flow Expt. on Euler Code Validation (1986), 269–280.
[18] Rizetta, AIAA Jour. 24 pp 237– (1986)
[19] ; ; : Finite volume Euler and Navier-Stokes solvers for three-dimensional and conical vortex flows over delta wings. AIAA-Paper 87–0041 (1987).
[20] Krause, ZFW 13 pp 291– (1989)
[21] Hartwich, ICAS Proc. 2 pp 1417– (1988)
[22] ; : Numerical simulation of vortical flows over a strake-delta wing. AIAA paper 87–1229 (1987).
[23] Hilgenstock, DLR-FB 90–13 (1990)
[24] ; : Numerical computation of vortical flows around double delta wings using Navier-Stokes equations. Short Communication in the 7th DGLR-Symposium ”Strömungen mit Ablösung”, Aachen 1990.
[25] ; : Thin layer approximation and algebraic model for separated turbulent flows. AIAA paper 78–257 (1978).
[26] ; : Compoutation of supersonic viscous flows around pointed bodies at large incidence. AIAA paper 83–0034 (1983).
[27] : A cell-vertex multigrid method for the Navier-Stokes equations. NASA TM 101557 (1989).
[28] ; ; : Numerical grid generation. Foundation and Applications. North Holland Publication 1985.
[29] Eriksson, AIAA Jour. 20 pp 1313– (1982)
[30] Sonar, DGVLR-FB 89–15 (1989)
[31] Brennenstuhl, ICAS Proc. 2 pp 1133– (1982)
[32] ; Quast: Kraftmessunge, Druckverteilungen und Strömungssichtbarmachung am Raumgleitermodell FALKE im Niedergeschwindigkeitsbereich. DLR IB-129–89/37 (1989).
[33] Bornemann, AGARD CP 247 pp 11.1– (1978)
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