A combined analytical singularity subtraction method and compact implicit differencing scheme for aerodynamic mixing

Chant, Lawrence J. De; Andrews, Malcolm J.

doi:10.1016/s0895-7177(00)00109-6

Cited by 6 publications

(9 citation statements)

References 20 publications

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“…Ejector-mixer nozzle systems provide an important acoustic and thermal treatment technology for high-speed civilian and military concepts, as well as, for currently deployed civilian (Hushkit) and military turbofan propulsion systems [1]. Design of these propulsion systems with an appropriate assessment of the scope of the design space at an adequate level of model ÿdelity, remains challenging.…”

Section: Introductionmentioning

confidence: 99%

“…Design of these propulsion systems with an appropriate assessment of the scope of the design space at an adequate level of model ÿdelity, remains challenging. To begin to answer this need, a computer program Di erential Reduced Ejector=mixer Analysis (DREA) has been developed with the ability to run suciently fast so that it may be used either as a subroutine or called by an design optimization routine [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

“…Fortunately, however, the unique combined analytical-numerical form of the DREA formulation provides considerable exibility in developing solution methods. Successful resolution of multiple stream periodic ow in the presence of large initial gradients will be directly dependent combined analytical=numerical solution methods [1]. Extension of the DREA mixing model to accept periodic ow has been facilitated by the general=canonical nature of the basic DREA formulation.…”

Section: Introductionmentioning

confidence: 99%

“…Extension of the DREA mixing model to accept periodic ow has been facilitated by the general=canonical nature of the basic DREA formulation. References [1][2][3][4] provide a detailed discussion concerning the derivation of the DREA governing equations by performing an order of magnitude=perturbation expansion of more complete conservation relationships. A multiple species (currently three-phases, fuel, oxidizer and product) version of the DREA implementation [5] uses transport equations for momentum ux, global mass ux, total enthalpy ux and species mass uxes, i =1-3, (note an inert phase is available through the mass constraint 4 i = 1 Y i = 1 but does not require a transport relationship):…”

Section: Introductionmentioning

confidence: 99%

“…Formulation and the approximate linearization of the governing transport equations for the DREA model in terms of ux functions is one of its unique features, and is described in detail in References [1,4]. The associated turbulence model is described in Reference [2].…”

Section: Introductionmentioning

confidence: 99%

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Extension of a combined analytical/numerical initial value problem solver for unsteady periodic flow

Chant¹,

Seidel

Kline

2002

Numerical Methods in Fluids

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SUMMARYHere we describe analytical and numerical modiÿcations that extend the Di erential Reduced Ejector= mixer Analysis (DREA), a combined analytical=numerical, multiple species ejector=mixing code developed for preliminary design applications, to apply to periodic unsteady ow. An unsteady periodic ow modelling capability opens a range of pertinent simulation problems including pulse detonation engines (PDE), internal combustion engine ICE applications, mixing enhancement and more fundamental uid dynamic unsteadiness, e.g. fan instability=vortex shedding problems. Although mapping between steady and periodic forms for a scalar equation is a classical problem in applied mathematics, we will show that extension to systems of equations and, moreover, problems with complex initial conditions are more challenging. Additionally, the inherent large gradient initial condition singularities that are characteristic of mixing ows and that have greatly in uenced the DREA code formulation, place considerable limitations on the use of numerical solution methods. Fortunately, using the combined analytical-numerical form of the DREA formulation, a successful formulation is developed and described. Comparison of this method with experimental measurements for jet ows with excitation shows reasonable agreement with the simulation. Other ow ÿelds are presented to demonstrate the capabilities of the model. As such, we demonstrate that unsteady periodic e ects can be included within the simple, e cient, coarse grid DREA implementation that has been the original intent of the DREA development e ort, namely, to provide a viable tool where more complex and expensive models are inappropriate.

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Section: Introductionmentioning

confidence: 99%