Pseudo-unsteady methods for transonic flow computations

Viviand, H.

doi:10.1007/3-540-10694-4_4

Cited by 9 publications

(8 citation statements)

References 8 publications

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“…The numerical method is based on a pseudo-compressibility formulation [37]. The interface is located with a second order version of the VOF method of Hirt and Nichols [21].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of wave breaking

Helluy¹,

Golay²,

Caltagirone

et al. 2005

ESAIM: M2AN

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Abstract. This paper is devoted to the numerical simulation of wave breaking. It presents the results of a numerical workshop that was held during the conference LOMA04. The objective is to compare several mathematical models (compressible or incompressible) and associated numerical methods to compute the flow field during a wave breaking over a reef. The methods will also be compared with experiments.Mathematics Subject Classification. 65M12, 74S10.

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“…The numerical method is based on a pseudo-compressibility formulation [37]. The interface is located with a second order version of the VOF method of Hirt and Nichols [21].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of wave breaking

Helluy¹,

Golay²,

Caltagirone

et al. 2005

ESAIM: M2AN

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“…The basis of our auxiliary relation for p veh begins with the streamline differentiation of the physical condition (d/dt+ Fgrad)(K»/i) = 0 where n is the unit vector normal to either the wing or fuselage. This expression when combined with the inner product of the quasilinear momentum equation and n and rearranged, becomes, for a stationary vehicle, (7) or "K and relates p, V, and the geometry of the surface to the normal derivative of p. When it is differenced to formally first-order accuracy the pressure on the surface is deduced from the interior values.…”

Section: Zero Flux Transportmentioning

confidence: 99%

“…With subsonic inflow our implementation is to set the three ingoing characteristic variables </> (/) , </> (2) , and </> (5) to their freestream values, linearily extrapolate the fourth <£ (4) from the computational field, and then solve for the original unknowns q= T&. At outflow it is </> (5) that is given the values of undisturbed flow, and <£ (7) , </> (2) , and <t> (4} are extrapolated. These variables q determined at the boundary together with their nearest neighbors in the / direction are then filtered.…”

Section: (A + -A_)mentioning

confidence: 99%

Damped Euler-equation method to compute transonic flow around wing-body combinations

Rizzi

1982

AIAA Journal

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Inviscid transonic flows containing either strong shock waves or complex vortex structure call for the Euler equations as a realistic model. Presented here is a computational procedure for solving the Euler equations for transonic flow around a wing and fuselage upon an O-O mesh generated by transfinite interpolation. An explicit time-marching finite-volume procedure solves the flow equations and features a nonreflecting far field boundary condition, an internal mechanism for temporal damping, and use of the local time step, all of which improve the convergence of the computation. Converged after several hundred iterations, results computed on the CYBER 203 vector processor are compared with experimental data and potential-flow computations. The Euler-equation model is found to predict the existence of a tip vortex created by inviscid flow separation in the downstream region of the tip of the M6 wing where the radius of curvature approaches zero.

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“…Le code EOLE utilise une approche de pseudo-compressibilité (Viviand, 1980, De Jouëtte et al, 1991) pour résoudre les équations de Navier-Stokes. La méthode VOF est une méthode de type semi-lagrangienne, SL -VOF (Segment Lagrangian Volume of Fluid Method) en 2D (Guignard, 2001) et en 3D (Biausser, 2003).…”

Section: 13laboratoire Lseetunclassified

Simulations numériques et expérimentales d’un soliton se propageant sur une plage inclinée

Lubin¹,

Grilli

Gilbert

et al. 2004

VIIIèmes Journées, Compiègne

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RésuméDes simulations expérimentales de solitons se propageant et déferlant sur une plage, réalisées dans le canal à houle de l'ESIM à Marseille, sont présentées. Ces expériences de laboratoire feront l'objet d'un futur exercice de comparaisons pour des codes numériques, basés sur la résolution des équations de Navier-Stokes en formulation diphasique. Les laboratoires composant le groupe de travail, les différentes méthodes numériques, ainsi que les codes utilisés, sont exposés. L'objectif est d'aboutir à une description plus fine du phénomène du déferlement et à une meilleure compréhension des processus mis en jeu dans la zone d'impact. Ce travail est soutenu financièrement par le programme CNRS -PATOM. AbstractExperiments simulating shoaling and breaking solitary waves on slopes, performed at the ESIM's laboratory, are presented. The results obtained from these experiments will be used for validating and comparing fluid dynamic models, based on the Navier-Stokes equations adapted to two-phase flows. The laboratories which participate and the numerical methods are detailed. The aim of this work is to be able to give an accurate description of the breaking phenomenon and to reach a better understanding of the processes acting in the impact area.

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Pseudo-unsteady methods for transonic flow computations

Cited by 9 publications

References 8 publications

Numerical simulations of wave breaking

Numerical simulations of wave breaking

Damped Euler-equation method to compute transonic flow around wing-body combinations

Simulations numériques et expérimentales d’un soliton se propageant sur une plage inclinée

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