Effects of Numerics on Navier-Stokes Computations of Hypersonic Double-Cone Flows

Druguet, Marie-Claude; Candler, Graham V.; Nompelis, Ioannis

doi:10.2514/1.6190

Cited by 123 publications

(59 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An interesting result is obtained when the original StegerWarming flux vector-splitting approach [18,19] is used exclusively within LeMANS and therefore within the MPC method in continuum regions. Figure 10 demonstrates that the numerical dissipation inherent in the original Steger-Warming flux function results in a significant (27%) overprediction in the peak heating rate resulting from a full NS (LeMANS) simulation.…”

Section: B Surface Propertiesmentioning

confidence: 88%

“…LeMANS solves this set of equations using a finite volume formulation. Unless otherwise noted, the inviscid fluxes between the mesh volumes are discretized using a modified form of the StegerWarming flux vector-splitting [18,19], which is less dissipative than the original form. The modified form is thus adequate to calculate boundary layers, and the scheme switches back to the original form of Steger-Warming near shock waves, where added numerical dissipation is needed for stability.…”

Section: Full Navier-stokes and Dsmc Simulationmentioning

confidence: 99%

See 1 more Smart Citation

Hybrid Particle-Continuum Simulations of Hypersonic Flow Over a Hollow-Cylinder-Flare Geometry

2008

View full text Add to dashboard Cite

A modular particle-continuum numerical method is used to simulate steady-state hypersonic flow over a hollowcylinder-flare geometry. The resulting flowfield involves a mixture of rarefied nonequilibrium flow and high-density continuum flow. The hybrid particle-continuum method loosely couples direct simulation Monte Carlo and NavierStokes methods, which operate in different regions, use different mesh densities, and are updated using differentsized time steps. Hybrid numerical results are compared with full particle and full continuum simulations as well as with experimental data. The hybrid particle-continuum simulations are demonstrated to reproduce experimental and full particle simulation results for surface and flowfield properties including velocity slip, temperature jump, thermal nonequilibrium, heating rates, and pressure distributions with high accuracy. The hybrid method, which uses particle simulation next to the surface, is also shown to predict accurate heating rates even when a highly dissipative numerical scheme is used for the continuum solver. For this particular flow, a hybrid simulation is obtained with modest computational savings over full particle simulation. NomenclatureBr cutoff = cutoff value of the continuum-breakdown parameter

show abstract

Section: B Surface Propertiesmentioning

confidence: 88%

Section: Full Navier-stokes and Dsmc Simulationmentioning

confidence: 99%

Hybrid Particle-Continuum Simulations of Hypersonic Flow Over a Hollow-Cylinder-Flare Geometry

2008

View full text Add to dashboard Cite

show abstract

“…However, when normalizing SWBLI establishment times (t est ) by the flow time (t f ) there is considerable variation, from 3 t f [13] to 150 t f [7,16] across various studies.…”

Section: Previous Literaturementioning

confidence: 99%

“…A number of studies have previously examined the establishment times of separations either experimentally [1,2,3,9,10,11], numerically [7,8] or both [12,13,14,15]. A number of different methods of assessing establishment have emerged, although very few studies even discuss their establishment criteria.…”

Section: Previous Literaturementioning

confidence: 99%

See 1 more Smart Citation

Establishment Times of Hypersonic Shock-Wave/Boundary-Layer Interactions in Intermittent Facilities

2017

View full text Add to dashboard Cite

This study examines establishment times of shock-wave boundary-layer interactions across a range of interaction types and intermittent facilities. Successful design of a test-article for a short duration facility is difficult, especially when trying to guarantee establishment of the flow. While this study does not detail design methodologies of a test article it does aim to provide better understanding of establishment metrics and predictive methods that have emerged from other studies in order to help in the design and assessment of experiments. Experimental and numerical data was taken at Mach 8.9 on an axisymmetric blunt-nosed body with an eight degree flare and laminar boundary-layer. It is shown that the global applicability of any single metric is poor and hence an establishment criteria is developed for this study which provides a more global metric of establishment. Further, a framework is provided for when the use of existing establishment metrics is appropriate.

show abstract

Implementation of semi‐discrete, non‐staggered central schemes in a colocated, polyhedral, finite volume framework, for high‐speed viscous flows

Greenshields

Weller²,

Gasparini³

et al. 2009

Numerical Methods in Fluids

436

182

View full text Add to dashboard Cite

SUMMARYWe describe the implementation of a computational fluid dynamics solver for the simulation of high-speed flows. It comprises a finite volume (FV) discretization using semi-discrete, non-staggered central schemes for colocated variables prescribed on a mesh of polyhedral cells that have an arbitrary number of faces. We describe the solver in detail, explaining the choice of variables whose face interpolation is limited, the choice of limiter, and a method for limiting the interpolation of a vector field that is independent of the coordinate system. The solution of momentum and energy transport in the Navier-Stokes equations uses an operator-splitting approach: first, we solve an explicit predictor equation for the convection of conserved variables, then an implicit corrector equation for the diffusion of primitive variables. Our solver is validated against four sets of data: (1) an analytical solution of the one-dimensional shock tube case; (2) a numerical solution of two dimensional, transient, supersonic flow over a forward-facing step; (3) interferogram density measurements of a supersonic jet from a circular nozzle; and (4) pressure and heat transfer measurements in hypersonic flow over a 25 • -55 • biconic. Our results indicate that the central-upwind scheme of Kurganov, Noelle and Petrova (SIAM J. Sci. Comput. 2001; 23:707-740) is competitive with the best methods previously published (e.g. piecewise parabolic method, Roe solver with van Leer limiting) and that it is inherently simple and well suited to a colocated, polyhedral FV framework.

show abstract

Effects of Numerics on Navier-Stokes Computations of Hypersonic Double-Cone Flows

Cited by 123 publications

References 10 publications

Hybrid Particle-Continuum Simulations of Hypersonic Flow Over a Hollow-Cylinder-Flare Geometry

Hybrid Particle-Continuum Simulations of Hypersonic Flow Over a Hollow-Cylinder-Flare Geometry

Establishment Times of Hypersonic Shock-Wave/Boundary-Layer Interactions in Intermittent Facilities

Implementation of semi‐discrete, non‐staggered central schemes in a colocated, polyhedral, finite volume framework, for high‐speed viscous flows

Contact Info

Product

Resources

About