Simplified turbulence modeling for forced vortical mixers using a kinematic wave analogy

Chant, Lawrence De; Seidel, Jonathan A.

doi:10.2514/6.1999-4837

Cited by 2 publications

(7 citation statements)

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“…Validity of the basic steady DREA implementation is demonstrated in References [1,2,4] by comparison with several simple, single uid, non-reactive (cold ow), steady ejector-nozzle experiments [23,24]. Reference [5] considers reactive ow mixing problems.…”

Section: Resultsmentioning

confidence: 99%

“…For simplicity, we consider a single phase form of Equations (1) and (2) and note that it is written solely in terms of the conservative ux quantities:…”

Section: Recovery Of Primitive Variable From Conservative Uxesmentioning

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]. Detailed information concerning the combustion formulation is provided in Reference [5], including special linearization and solution procedures required for modelling combustion in the presence of large initial condition gradients.…”

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%

“…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%

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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: Resultsmentioning

confidence: 99%

“…For simplicity, we consider a single phase form of Equations (1) and (2) and note that it is written solely in terms of the conservative ux quantities:…”

Section: Recovery Of Primitive Variable From Conservative Uxesmentioning

confidence: 99%