Boundary conditions for subsonic compressible Navier-Stokes calculations

Rudy, David H.; Strikwerda, John C.

doi:10.1016/0045-7930(81)90005-0

Cited by 106 publications

(28 citation statements)

References 7 publications

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“…The pressure at the inflow boundary is determined by using information from the interior domain. Several alternatives can be applied to specify the inflow pressure: extrapolation from the interior pressure or using a characteristic method as proposed by Rudy-Strikwerda [4] or Poinsot-Lele [6]. Numerical experiments show, however, that the characteristic method yields small oscillations in the boundary layer near the inflow boundary.…”

Section: Injlow Boundary Conditionsmentioning

confidence: 99%

“…Regarding the artificial boundaries, various techniques for treating these boundaries for compressible viscous flows have been proposed in the literature, among others by Rudi-Strikwerda [4], Thompson [5], and Poinsot-Lele [6]. The number of boundary conditions needed for the well-posedness of the Navier-Stokes equations has been mathematically proven by Strikwerda [7].…”

Section: Introductionmentioning

confidence: 99%

“…The proposed methods are generally based on characteristic wave relations derived from inviscid fluid dynamics equations. An alternative for defining these boundary conditions is based on an extrapolation method [4]. Our experiences with the various boundary treatments resulted in some preferences regarding the choice of the boundary treatment in the case where flow over a flat plate is concerned [8].…”

Section: Introductionmentioning

confidence: 99%

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Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate

1997

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Abstract-In this paper we present numerical techniques suitable for a direct numerical simulation in the spatial setting. We demonstrate the application to the simulation of compressible flat plate flow instabilities. We compare second and fourth order accurate spatial discretization schemes in combination with explicit multistage time stepping for the simulation of the 2D Navier-Stokes equations. We consider Mach numbers 0.5 and 4.5. In the vicinity of the outflow boundary, an efficient buffer domain treatment is introduced, which is suitable in conjunction with an explicit time integration scheme. This treatment requires only a short buffer domain to damp wave reflections at the outflow boundary. Results for the instability of Tollmien-Schlichting (T-S) waves are compared with two instability theories, linear stability theory (LST) and linear parabolized stability equations (PSE). The growth rates of T-S waves for parallel base flow at both Mach numbeis compare well with LST results. Moreover, the growth rates of T-S waves for nonparallel base flow compare well with results obtained by solving the PSE at Mach number 0.5. The second order discretization scheme requires, however, considerably higher grid resolution than the fourth order method to achieve accurate results. High amplitude disturbances were also considered to activate nonlinear terms. The nonlinearity strongly affects the form of the T-S waves and the growth rate of the disturbance:. The results obtained here support the use of these numerical techniques in flow simulations with increasing complexity such as flat plate flow simulations up to the turbulent regime and with separation regions in 3D. The results also encourage the use of perturbations derived from the compressible PSE as inlet perturbations for nonparallel flow. 0 1997

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Section: Injlow Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate

1997

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“…The top stream is assigned a mixture-fraction value of Z = 1 and the bottom stream, Z = 0. At the outflow, the incoming acoustic characteristic method of Rudy & Strikwerda (1981) is used. The reference pressure is set to be atmospheric pressure approximating the experiments in which the test section discharges to atmospheric conditions.…”

Section: Initial Conditionmentioning

confidence: 99%

Large-eddy simulation of mixing in a recirculating shear flow

et al. 2010

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The flow field and mixing in an expansion-ramp geometry is studied using large-eddy simulation (LES) with subgrid scale (SGS) modelling. The expansion-ramp geometry was developed to investigate enhanced mixing and flameholding characteristics while maintaining low total-pressure losses. Passive mixing was considered without taking into account the effects of chemical reactions and heat release, an approximation that is adequate for experiments conducted in parallel. The primary objective of the current work is to validate the LES-SGS closure in the case of passive turbulent mixing in a complex configuration and, if successful, to rely on numerical simulation results for flow details unavailable via experiment. Total (resolved-scale plus subgrid contribution) probability density functions (p.d.f.s) of the mixture fraction are estimated using a presumed beta-distribution model for the subgrid field. Flow and mixing statistics are in good agreement with the experimental measurements, indicating that the mixing on a molecular scale is correctly predicted by the LES-SGS model. Finally, statistics are shown to be resolution-independent by computing the flow for three resolutions, at twice and four times the resolution of the coarsest simulation.

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“…They have to be chosen in a good way. One of the simplest way is to use extrapolations [18], to deduce missing variables by using their values inside the computational domain. Another possibility is to choose numerical BCs consistent with the physical BCs [19], [20], [21].…”

Section: Introductionmentioning

confidence: 99%

Towards a transparent boundary condition for compressible Navier–Stokes equations

Bruneau

Creusé

2001

Numerical Methods in Fluids

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SUMMARYA new artificial boundary condition for 2D subsonic flows governed by the compressible Navier-Stokes equations is derived. It is based on the hyperbolic part of the equations, according to the way of propagation of the characteristic waves. A reference flow as well as a convection velocity are used to properly discretize the terms corresponding to the entering waves. Numerical tests on various classical model problems whose solution is known and comparisons with other boundary conditions show the efficiency of the boundary condition. Direct numerical simulations of more complex flows over a dihedral plate are simulated, without creation of acoustic waves going back in the flow.

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Boundary conditions for subsonic compressible Navier-Stokes calculations

Cited by 106 publications

References 7 publications

Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate

Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate

Large-eddy simulation of mixing in a recirculating shear flow

Towards a transparent boundary condition for compressible Navier–Stokes equations

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