Outflow boundary conditions for spatial Navier-Stokes simulations oftransition boundary layers

Kloker, Markus J.; Konzelmann, U.; Fasel, Hermann F.

doi:10.2514/3.11595

Cited by 111 publications

(78 citation statements)

References 6 publications

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“…Equation (17) holds under fairly general circumstances. Proceeding along these lines, we may expand (15), to O( 4 ), as…”

Section: Filteringmentioning

confidence: 99%

“…In order to mitigate these effects, a variety of ad hoc buffer region techniques have been proposed for use in combination with ABCs. These include the addition of an explicit damping term in a region near the boundary [3,9,14,15], artificial acceleration of disturbances to supersonic speed [29], and a combination of these [8]. On the whole, these conditions can be effective and have led to accurate solution of a variety of problems.…”

Section: Introductionmentioning

confidence: 99%

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A Super-Grid-Scale Model for Simulating Compressible Flow on Unbounded Domains

Colonius¹,

Ran

2002

Journal of Computational Physics

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A new buffer region (absorbing layer, sponge layer, fringe region) technique for computing compressible flows on unbounded domains is proposed. We exploit the connection between coordinate mapping from bounded to unbounded domains and filtering of the equations of motion in Fourier space in order to develop a model to damp flow disturbances (advective and acoustic) that propagate outside an arbitrarily defined near field. This effectively simulates a free-space boundary condition. Damping the solution in the far field is accomplished in a simple and effective way by applying a filter (similar to that used in large-eddy simulation) on a mesh in Fourier space, followed by a secondary filtering of the equations on the physical grid and implementation of a model for the unresolved scales. The final form of the buffer region is given in real space, independent of any discretization of the equations. Here we use a dealiased, Fourier spectral collocation method to demonstrate the efficacy of the buffer region for several model problems: acoustic wave propagation, convection of a finite-amplitude vortex, and a viscous starting jet in two dimensions. The results compare favorably to previous nonreflecting and absorbing boundary conditions.

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“…Equation (17) holds under fairly general circumstances. Proceeding along these lines, we may expand (15), to O( 4 ), as…”

Section: Filteringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Super-Grid-Scale Model for Simulating Compressible Flow on Unbounded Domains

Colonius¹,

Ran

2002

Journal of Computational Physics

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“…At the outflow boundary, a buffer domain is employed for damping out the time-dependent fluctuations of the flow and thus minimizing reflections from the outflow boundary. The ramping'technique is similar to that proposed by Kloker et al (1993) and is discussed in detail by . In spanwise direction, periodicity is assumed, which is automatically satisfied by the spectral treatment of this direction in the numerical scheme.…”

Section: Boundary Conditions and Disturbance Generationmentioning

confidence: 98%

Numerical Investigation of the Control of Separation from Curved and Blunt Trailing Edges Using DNS and LES

Fasel¹

2002

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“…The naive imposition of boundary conditions involving either the first or second derivatives of dependent variables result in the progressive upstream propagation of spatially pointwise oscillations which eventually degrade the evolving solution. Kloker et al [27] discuss at length six different strategies for dealing with outflow conditions and conclude that, for the Blasius boundary layer at least, a very satisfactory method is to use an absorbing buffer region. Such a region is used to damp out disturbances to the basic flow and is sometimes called a relaminarisation region.…”

Section: Methodsmentioning

confidence: 99%

Thermal receptivity of free convective flow from a heated vertical surface: Linear waves

Paul

Rees

Wilson

2008

International Journal of Thermal Sciences

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Numerical techniques are used to study the receptivity to small-amplitude thermal disturbances of the boundary layer flow of air which is induced by a heated vertical flat plate. The fully elliptic nonlinear, time-dependent NavierStokes and energy equations are first solved to determine the steady state boundary-layer flow, while a linearised version of the same code is used to determine the stability characteristics. In particular we investigate (i) the ultimate fate of a localised thermal disturbance placed in the region near the leading edge and (ii) the effect of small-scale surface temperature oscillations as means of understanding the stability characteristics of the boundary layer. We show that there is a favoured frequency of excitation for the time-periodic disturbance which maximises the local response in terms of the local rate of heat transfer. However the magnitude of the favoured frequency depends on precisely how far from the leading edge the local response is measured. We also find that the instability is advective in nature and that the response of the boundary layer consists of a starting transient which eventually leaves the computational domain, leaving behind the large-time time-periodic asymptotic state. Our detailed numerical results are compared with those obtained using parallel flow theory.

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Outflow boundary conditions for spatial Navier-Stokes simulations oftransition boundary layers

Cited by 111 publications

References 6 publications

A Super-Grid-Scale Model for Simulating Compressible Flow on Unbounded Domains

A Super-Grid-Scale Model for Simulating Compressible Flow on Unbounded Domains

Numerical Investigation of the Control of Separation from Curved and Blunt Trailing Edges Using DNS and LES

Thermal receptivity of free convective flow from a heated vertical surface: Linear waves

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