1997
DOI: 10.1002/(sici)1097-0363(19970915)25:5<599::aid-fld578>3.3.co;2-5
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Numerical computations of internal flows for axisymmetric and two‐dimensional nozzles

Abstract: SUMMARYMacCormack's explicit time-marching scheme is used to solve the full Navier±Stokes unsteady, compressible equations for internal¯ows. The requirement of a very ®ne grid to capture shock as well as separated¯ows is circumvented by employing grid clustering. The numerical scheme is applied for axisymmetric as well as twodimensional¯ows. Numerical predictions are compared with experimental data and the qualitative as well as the quantitative agreement is found to be quite satisfactory.

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(2 citation statements)
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“…The fluid-dynamic models that have been applied to describe the flow of the type considered here can be divided into two groups: continuum and particle models. Continuum fluid-dynamic (CFD) models include those based on Euler's equations (De Benedictis et al 1999b), the parabolized Navier-Stokes equations (Korte 1992;Skovorodko 1997) or the full set of Navier-Stokes equations (Cline 1976;Kim 1994;Gokhale & Suresh 1997). Since the applicability of the continuum description of the flow is limited to low values of the local Knudsen number (Boyd et al 1992;Bird 1994;Boyd, Chen & Candler 1995) an alternative stochastic particle model based on the direct simulation of the flow at the molecular level by the Monte Carlo method (DSMC) (Bird 1994) has been applied.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The fluid-dynamic models that have been applied to describe the flow of the type considered here can be divided into two groups: continuum and particle models. Continuum fluid-dynamic (CFD) models include those based on Euler's equations (De Benedictis et al 1999b), the parabolized Navier-Stokes equations (Korte 1992;Skovorodko 1997) or the full set of Navier-Stokes equations (Cline 1976;Kim 1994;Gokhale & Suresh 1997). Since the applicability of the continuum description of the flow is limited to low values of the local Knudsen number (Boyd et al 1992;Bird 1994;Boyd, Chen & Candler 1995) an alternative stochastic particle model based on the direct simulation of the flow at the molecular level by the Monte Carlo method (DSMC) (Bird 1994) has been applied.…”
Section: Introductionmentioning
confidence: 99%
“…We have not been able to find in the literature a similar approach to the simulation of the free jet flow behind a supersonic nozzle. The available simulations for viscous gas concern either the flow inside the nozzle (Cline 1976;Kim 1994;Gokhale & Suresh 1997) or the free jet flow with a prescribed distribution of the parameters in the nozzle exit section (Maté et al 2001). The simulations of similar flows in the framework of a CFD-DSMC approach (Boyd et al 1994;Chung et al 1995), which are better suited to the regions with translational non-equilibrium effects, require much more computational resources.…”
Section: Introductionmentioning
confidence: 99%