On the Computation of Compressible Turbulent Flows on Unstructured Grids

Luo, Hong; Sharov, Dmitri; Baum, Joseph D.; Löhner, Rainald

doi:10.1080/10618560108940728

Cited by 23 publications

(11 citation statements)

References 29 publications

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“…During the last one and half decades, the unstructured grid methodology has clearly demonstrated its flexibility in tackling complex geometries, and in flow-based grid adaptations [5][6][7][8][9][10][11][12]. The success demonstrated by the unstructured grid method for steady flow problems has prompted considerable development for unsteady moving boundary problems.…”

Section: Discussionmentioning

confidence: 99%

“…Holes are then generated automatically in the adaptive Cartesian grid to facilitate data communication between the Cartesian and prismatic grids. The use of prismatic grids can enhance the solution accuracy in the viscous boundary layer [9], and Cartesian grids are much more efficient in filling a given space with a specified length scale than tetrahedral grids [12]. In addition, a promising hybrid RANS/LES approach named Detached Eddy Simulation (DES) [14] will be implemented to improve the solution accuracy for highly separated unsteady flows.…”

Section: Discussionmentioning

confidence: 99%

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Simulation of Moving Boundary Flow Using Overset Adaptive Cartesian/Prism Grids and DES

Wang¹

2003

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The public reporting burden for this collection of information is estimated to average 1 hour per response, includ gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comr of information, including suggestions for reducing the burden, to Department of Defense, Washington Head (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be a subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OIV, Development of improved weapon systems requires better understanding of the complex aerodynamics created by moving boundaries. Carriage and release of conventional weapons from aircraft and aerial refueling fall in this category. The flow problems involving moving boundaries are very challenging to compute because the resultant flow field is intrinsically unsteady. Modeling such flow problems is made even more difficult due to the complex geometries and the highly turbulent namre of the unsteady flows. Under an exploratory grant from the AEOSR, a new simulation environment for moving boundary problems is being developed. This environment is designed to advance the state-of-the-art for moving boundary flow problems in the following areas: I. Improve the solution accuracy and efficiency through the use of overset adaptive Cartesian/prism grids. Key flow features will be automatically captured with solution based grid adaptations; 2. Improve the accuracy for highly turbulent unsteady separated flows encountered in moving boundary problems with a hybrid RANS/LES (Reynolds Averaged Navier Stokes/Large Eddy Simulation) approach named Detached Eddy Simulation (DES The report documents the research activities carried out since the grant award, and outlines future work. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. AFRL-SR-AR-TR-04- SPONSOR/MONITOR'S ACRONYM(S) SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENT

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Simulation of Moving Boundary Flow Using Overset Adaptive Cartesian/Prism Grids and DES

Wang¹

2003

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“…Thus, discrete conservation is obtained for these cases, but would likely degrade for increasing cloud irregularity. A further comparison should be highlighted between our proposed scheme and so-called containment-dual finite volume methods, which have been used by Barth and Linton [23] and Luo et al [24]. The containment-dual method is distinguished by dual control volumes that connect the containment centers to the edge midpoints of all triangles surrounding a given node.…”

Section: Least-squares Gradient Procedures With Constrained Weightsmentioning

confidence: 99%

Meshless Scheme Based on Alignment Constraints

Katz

Jameson

2010

AIAA Journal

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Development of a new meshless technique is described that presents certain advantages over conventional meshless schemes due to unique weights that force alignment of the derivative approximation. The method is completely meshless, yet retains the low storage and simple flux distribution technique that are characteristic of finite volume methods. The new method is based on the well-known Taylor series expansion method with least squares. The proposed weighting scheme significantly reduces storage and computational requirements compared to other meshless schemes. The scheme is shown to be analogous to finite volume schemes in many ways, but it still lacks a discrete telescoping property and is not discretely conservative. The method is applied to the Euler equations in two dimensions. Results are presented that agree well with established methods.

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“…A well-tested finite volume code 28,29 is used as a reference to compare the accuracy and performance of the DG method for some test cases.…”

Section: Numerical Examplesmentioning

confidence: 99%

A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids

Luo

Mousseau

2009

19th AIAA Computational Fluid Dynamics

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A reconstruction-based discontinuous Galerkin (RDG) method is presented for the solution of the compressible Euler equations on arbitrary grids. By taking advantage of handily available and yet invaluable information, namely the derivatives, in the context of the discontinuous Galerkin methods, a polynomial solution of one degree higher is reconstructed using a least-squares method. The stencils used in the reconstruction involve only the von Neumann neighborhood (face-neighboring cells) and are compact and consistent with the underlying DG method. The resulting RDG method can be regarded as an improvement of a recovery-based DG method, in the sense that it shares the same nice features, such as high accuracy and efficiency, and yet overcomes some of its shortcomings such as a lack of flexibility, compactness, and robustness. The developed RDG method is used to compute a variety of flow problems on arbitrary meshes to demonstrate its accuracy, efficiency, robustness, and versatility. The numerical results demonstrate that this RDG method is third-order accurate at a cost slightly higher than its underlying second-order DG method, at the same time providing a better performance than the third order DG method, in terms of both computing costs and storage requirements.

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On the Computation of Compressible Turbulent Flows on Unstructured Grids

Cited by 23 publications

References 29 publications

Simulation of Moving Boundary Flow Using Overset Adaptive Cartesian/Prism Grids and DES

Simulation of Moving Boundary Flow Using Overset Adaptive Cartesian/Prism Grids and DES

Meshless Scheme Based on Alignment Constraints

A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids

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