Store Separation Dynamics Using Grid-Free Euler Solver

Harish, G.; Pavanakumar, M.; Anandhanarayanan, K.

doi:10.2514/6.2006-3650

Cited by 13 publications

(8 citation statements)

References 6 publications

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“…The FPM method used a polynomial basis, echoing themes from the classical finite element method. Least squares methods based on Taylor series expansions have been used extensively by Deshpande and others [7][8][9][10][11][12][13][14][15] in the context of kinetic schemes for the Euler equations. They have developed extensive capabilities with the least squares kinetic upwind method (LSKUM).…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Various Meshless Schemes Within a Unified Algorithm

Jameson

2009

47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

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An algorithm for use with several meshless schemes is presented based on a local extremum diminishing property. The scheme is applied to the Euler equations in two dimensions. The algorithm is suitable for use with many meshless schemes, three of which are detailed here. First, a method based on Taylor series expansion and least squares is highlighted. Next, a similar least squares method is used, but using polynomial basis functions with fixed Gaussian weighting. A third method makes use of the Hardy multiquadric radial basis functions on a local cloud of points. Results indicate that all three methods perform essentially equally well for flows without shocks. For flows with shocks, the least squares methods perform significantly better than the radial basis method, which displays discrepancies in shock location and magnitude. All methods are compared to an established finite volume method for validation purposes.

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Section: Introductionmentioning

confidence: 99%

A Comparison of Various Meshless Schemes Within a Unified Algorithm

Jameson

2009

47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

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“…Wing-pylon-store is the standard experiment model of American Air Force [4] which holding comprehensive CTS test data to be widely used for validation of CFD simulation [5,6] . Fig.…”

Section: Validationmentioning

confidence: 99%

Applications of Overset Grid Technique to CFD Simulation of High Mach Number Multi-body Interaction/Separation Flow

Liu

Zhou

2015

Procedia Engineering

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In the design process of rocket, airplane and store separation systems, the aerodynamic of multi-body interaction flow field and the separation problems have been paid great attention by researchers, since they are directly related to the success of the mission. With high capital cost and technology risk of both flight and ground test, CFD technology has been more and more applied to resolve these problems for the rapid development of computer hardware resources. The accurate simulation of aerodynamic interactions and separating characters of a multi-body flow field with high Ma number continue to be one of the more challenging problems. This is mainly due to the inherent high unsteady and complex turbulent character of the transient flow field. This paper adopts overset grids to implement CFD analysis of these problems. Developments in strategies and software tools for overset structured grid generation are summarized firstly. The general principle and key technology of overset grids are followed. In the third part, one validation, store release of wing-pylon-store model, is implemented. Finally, stage separation of a Two-Stage-To-Orbit (TSTO) model is studied further to discuss hard predictable flow phenomenon and real physical mechanism of it.

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“…As indicated before, in spite of the success of the meshless solvers in computing inviscid flows [9,17], their extension to RANS computations has been non-trivial [19,20]. Two major hurdles in the RANS computations as applied to meshless solvers for a generalized point distribution are the non-positivity of the viscous discretization procedure [19] and ill-conditioning of the geometric matrix associated with the least squares procedure [24].…”

Section: Viscous Flux Discretizationmentioning

confidence: 99%

“…The present work involving the extension of these ideas to viscous flows can be considered as a sequel to our earlier work [9]. Interestingly, recent application of meshless solvers for solving realistic industrial problems involving store separation [17,18], clearly brings out the higher levels of acceptability of such procedures amongst the industrial community. In spite of several of these developments in the use of meshless solvers for inviscid flow analysis, there have been very few attempts in solving RANS based turbulent flow equations [10,11,19,20].…”

Section: Introductionmentioning

confidence: 97%

Turbulent flow computations on a hybrid cartesian point distribution using meshless solver LSFD-U

Munikrishna

Balakrishnan

2011

Computers & Fluids

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This paper may be considered as a sequel to one of our earlier works pertaining to the development of an upwind algorithm for meshless solvers. While the earlier work dealt with the development of an inviscid solution procedure, the present work focuses on its extension to viscous flows. A robust viscous discretization strategy is chosen based on positivity of a discrete Laplacian. This work projects meshless solver as a viable cartesian grid methodology. The point distribution required for the meshless solver is obtained from a hybrid cartesian gridding strategy. Particularly considering the importance of an hybrid cartesian mesh for RANS computations, the difficulties encountered in a conventional least squares based discretization strategy are highlighted. In this context, importance of discretization strategies which exploit the local structure in the grid is presented, along with a suitable point sorting strategy. Of particular interest is the proposed discretization strategies (both inviscid and viscous) within the structured grid block; a rotated update for the inviscid part and a Green-Gauss procedure based positive update for the viscous part. Both these procedures conveniently avoid the ill-conditioning associated with a conventional least squares procedure in the critical region of structured grid block. The robustness and accuracy of such a strategy is demonstrated on a number of standard test cases including a case of a multi-element airfoil. The computational efficiency of the proposed meshless solver is also demonstrated.

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Store Separation Dynamics Using Grid-Free Euler Solver

Cited by 13 publications

References 6 publications

A Comparison of Various Meshless Schemes Within a Unified Algorithm

A Comparison of Various Meshless Schemes Within a Unified Algorithm

Applications of Overset Grid Technique to CFD Simulation of High Mach Number Multi-body Interaction/Separation Flow

Turbulent flow computations on a hybrid cartesian point distribution using meshless solver LSFD-U

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