Computation of Viscous Transonic Flows Using an Unsteady Type Method and a Zonal Grid Refinement Technique

Cambier, L.

doi:10.1007/978-3-322-87873-1_6

Cited by 14 publications

(10 citation statements)

References 1 publication

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“…In Figure 7.38 we show the surface quantity distribution. The quantity distribution in general is in excellent agreement with the fully structured mesh solutions [97][98][99]. Structured grid in boundary layer for a two-component aerofoil [25].…”

Section: Special Adaptive Refinement For Boundary Layers and Shockssupporting

confidence: 56%

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Compressible High-Speed Gas Flow

Zienkiewicz¹,

Taylor²,

Nithiarasu³

2014

The Finite Element Method for Fluid Dynamics

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Section: Special Adaptive Refinement For Boundary Layers and Shockssupporting

confidence: 56%

“…7.35 on a two-component aerofoil. The external flow past a NACA0012 aerofoil is one of the popular benchmark problems of compressible fluid dynamics [97][98][99]. The transonic viscous flow is especially difficult to handle with many numerical schemes.…”

Section: Special Adaptive Refinement For Boundary Layers and Shocksmentioning

confidence: 99%

Compressible High-Speed Gas Flow

Zienkiewicz¹,

Taylor²,

Nithiarasu³

2014

The Finite Element Method for Fluid Dynamics

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“…is now investigated. The results from this supersonic flow case are compared with results from Arminjon and Madrane 12 whose results compare quite well to a collection of results from Cambier 13 NASCART-GT studies of an NRR case and a uniform grid case are compared with the prior published results from Arminjon and Madrane for this supersonic flow case. Figure 8 shows the surface pressure comparison between the two Cartesian grid cases and reference case.…”

Section: Demonstration Of Nrr In High Speed Flows Using Nascart-gtmentioning

confidence: 60%

Implementation and Evaluation of Normal Ray Refinement Technique in Adaptive Cartesian Framework

Arslanbekov

Kolobov

Ruffin

et al. 2012

42nd AIAA Fluid Dynamics Conference and Exhibit

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This paper describes further enhancement of the Normal Ray Refinement (NRR) technique and its implementation in the adaptive Cartesian framework of the Unified Flow Solver (UFS). Brief introduction to the UFS Navier-Stokes (NS) solver with an Immersed Boundary Method (IBM) is given. Demonstrations are provided of NRR grid generation algorithms based on normal rays with constant and variable refinement on 2D and 3D shapes. Low-and high-order accuracy inter-ray communications methods are implemented in 2Dand results for different shapes are demonstrated and compared to solutions obtained with uniform boundary grids. Capabilities for adaptive normal ray placement are developed in 2D and 3D thus providing ways for NRR automation when fully implemented. Results of flow solution for 2D geometries with statically placed and adaptive normal ray placement show good agreement with uniform boundary layer results. Implementation of the basic framework for NRR over 3D shapes is described and examples are shown. In prior study, the NRR technique was shown to provide accurate prediction of incompressible, attached viscous flows. In the current study the NRR methodology, implemented in NASCART-GT solver, is shown to provide accurate prediction in supersonic flow and low-speed, separated flow around a circular cylinder. It is found that the NRR technique is robustly implementable in different frameworks and it offers significant advantages in terms of greatly reduced number of cells in boundary layers when using Cartesian grids.

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“…The skin friction for the latter is plotted in Figure 34. The same cases are calculated using standard formulations of NavierStokes equations (see References [10,[30][31][32]). Again, our solutions are in good agreement with the published results.…”

Section: Numerical Methods and Numerical Resultsmentioning

confidence: 99%