Numerical Solution of Periodic Transonic Flow through a Fan Stage

Erdos, John; Alzner, E.; Mcnally, W. D.

doi:10.2514/3.60823

Cited by 229 publications

(66 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…First, the more general approach adopted by Welch [4] involves the determination of a time-periodic flow field whose physical domain includes the inlet port and all of the passages spanning that port. The second approach called the Signal-Storage-andReconstruction (SSR) technique, introduced by Erdos et al [5], determines the entire flow field by considering only the port and a single passage. The time periodicity condition is explicitly used to construct the flow in the other passages.…”

Section: Formulationmentioning

confidence: 99%

Three-dimensional numerical simulation of gradual opening in a wave rotor passage

Larosiliere

1993

29th Joint Propulsion Conference and Exhibit

View full text Add to dashboard Cite

The evolution of the contact interface and the propagation of compression waves inside a single wave rotor passage gradually opening to and traversing an inlet port is studied numerically using an inviscid formulation of the governing equations. Insights into the response of the interface and kinematics of the flow field to various opening times are given. Since the opening time is inversely proportional to the rotational speed of the rotor, the effects of passage rotation such as centripetal and Coriolis accelerations are intrinsically coupled to the gradual opening process. Certain threedimensional features associated with the gradual opening process as a result of centripetal and Coriolis accelerations are illustrated. For the range of opening times or rotational speeds considered, a portion of the interface behaves like a vortex sheet that can degenerate into a complex interfacial structure. The vortices produced along the interface can serve as a stirring mechanism to promote local mixing. Coriolis and centripetal accelerations can introduce three-dimensional effects such as interfacial distortions in meridional planes and spanwise migration of fluid elements.

show abstract

Section: Formulationmentioning

confidence: 99%

Three-dimensional numerical simulation of gradual opening in a wave rotor passage

Larosiliere

1993

29th Joint Propulsion Conference and Exhibit

View full text Add to dashboard Cite

show abstract

“…Not surprisingly, specific analysis and simulation techniques that efficiently address this periodicity have been developed, in particular for turbomachinery applications, typically describing blade-to-blade dynamics, aeroelastic properties, and rotor-stator interactions. Among the proposed and frequently employed techniques are the harmonic-balance method [7,17] which treats time-periodic flow as a sequence of matched frequencies, the phase-lagged boundary condition method [8] which employs phase-shifted flow variables on the interface between individual sub-units and, closely related, the chorochronic boundary condition method [13,14,23,24] which generalizes the former techniques to multiple (and distinct) periodicity by an appropriate time-shift. In particular, the phase-lagged and chorochronic boundary conditions are commonly used in time-periodic flow, for example, in the periodic forcing of a turbomachinery blade passage by upstream stators or rotors.…”

Section: Introductionmentioning

confidence: 99%

“…The ubiquity of fluid systems characterized by an n-periodic arrangement of identical units or by multi-periodic geometric features has spawned a great deal of analyses and simulations: flow in wavy or grooved channels [9,15,16,40] or past arrays of roughness elements and vortex generators [6], acoustics in periodic wave-guides [1], energy extraction from an buoy array [12] and, of course, flow in turbomachines [8,13,14,20,23,24,30] and combustors [5,28,29,31,38,39,45] are but a few examples that fall under this category. Not surprisingly, specific analysis and simulation techniques that efficiently address this periodicity have been developed, in particular for turbomachinery applications, typically describing blade-to-blade dynamics, aeroelastic properties, and rotor-stator interactions.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis forn-periodic arrays of fluid systems

2017

View full text Add to dashboard Cite

A computational framework is proposed for the linear modal and nonmodal analysis of fluid systems consisting of a periodic array of n identical units. A formulation in either time or frequency domain is sought, and the resulting block-circulant global system matrix is analyzed using roots-ofunity techniques which reduce the computational effort to only one unit while still accounting for the coupling to linked components. Modal characteristics as well as non-modal features are treated within the same framework, as are initial-value problems and direct-adjoint looping. The simple and efficient formalism is demonstrated on selected applications, ranging from a Ginzburg-Landau equation with an n-periodic growth function to interacting wakes, to incompressible flow through a linear cascade consisting of 54 blades. The techniques showcased here are readily applicable to large-scale flow configurations consisting of n-periodic arrays of identical and coupled fluid components, as can be found, for example, in turbomachinery, ring flame-holders or nozzle exit corrugations. Only minor corrections to existing solvers have to be implemented to allow this present type of analysis.

show abstract

“…To achieve this, two different approaches are typically used. The first is the solution of the unsteady nonlinear equations using standard nonlinear time integration techniques [2,3,5,11,15]. The main drawback of these methods is their high computational cost which, in an engineering context, can constitute a major limitation.…”

Section: Introductionmentioning

confidence: 99%