Developing Hybrid cell-edge and cell-node Dissipative Compact Scheme for Complex Geometry Flows

AbstractIn this paper, we investigate the performance of the seventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7) on curvilinear mesh for noise prediction in subsonic flow. In order to eliminate the errors due to surface conservation law (SCL) is dissatisfied on curvilinear meshes, the symmetrical conservative metric method (SCMM) is adopted to calculate the grid metric derivatives for the HDCS-E8T7. For the simulation of turbulence flow which may have main responsibility for the noise radiation, the new high-order implicit large eddy simulation (HILES) based on the HDCS-E8T7 is employed. Three typical cases, i.e., scattering of acoustic waves by multiple cylinder, sound radiated from a rod-airfoil and subsonic jet noise from nozzle, are chosen to investigate the performance of the new scheme for predicting aeroacoustic problem. The results of scattering of acoustic waves by multiple cylinder indicate that the HDCS-E8T7 satisfying the SCL has high resolution for the aeroacoustic prediction. The potential of the HDCS-E8T7 for aeroacoustic problems on complex geometry is shown by the predicting sound radiated from a rod-airfoil configuration. Moreover, the subsonic jet noise from nozzle has been successfully predicted by the HDCS-E8T7.

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Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.2013.m404 ◽

2015 ◽

Vol 7 (4) ◽

pp. 407-429 ◽

Cited By ~ 3

Author(s):

Yi Jiang ◽

Meiliang Mao ◽

Xiaogang Deng ◽

Huayong Liu

Keyword(s):

Large Eddy Simulation ◽

Conservation Law ◽

Numerical Solutions ◽

Complex Geometry ◽

Delta Wing ◽

Hybrid Cell ◽

Compact Scheme ◽

Eddy Simulation ◽

Large Eddy ◽

Seventh Order

AbstractSeventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7) is extended to a new implicit large eddy simulation named HILES on stretched and curvilinear meshes. Although the conception of HILES is similar to that of monotone integrated LES (MILES), i.e., truncation error of the discretization scheme itself is employed to model the effects of unresolved scales, HDCS-E8T7 is a new high-order finite difference scheme, which can eliminate the surface conservation law (SCL) errors and has inherent dissipation. The capability of HILES is tested by solving several benchmark cases. In the case of flow past a circular cylinder, the solutions of HILES fulfilling the SCL have good agreement with the corresponding experiment data, however, the flowfield is gradually contaminated when the SCL error is enlarged. With the help of fulling the SCL, ability of HILES for handling complex geometry has been enhanced. The numerical solutions of flow over delta wing demonstrate the potential of HILES in simulating turbulent flow on complex configuration.

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New High-Order Hybrid Cell-Edge and Cell-Node Weighted Compact Nonlinear Schemes

20th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2011-3857 ◽

2011 ◽

Cited By ~ 15

Author(s):

Xiaogang Deng

Keyword(s):

Hybrid Cell ◽

High Order ◽

Cell Edge ◽

Nonlinear Schemes

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A family of hybrid cell-edge and cell-node dissipative compact schemes satisfying geometric conservation law

Computers & Fluids ◽

10.1016/j.compfluid.2015.04.015 ◽

2015 ◽

Vol 116 ◽

pp. 29-45 ◽

Cited By ~ 25

Author(s):

Xiaogang Deng ◽

Yi Jiang ◽

Meiliang Mao ◽

Huayong Liu ◽

Song Li ◽

...

Keyword(s):

Conservation Law ◽

Hybrid Cell ◽

Compact Schemes ◽

Cell Edge ◽

Geometric Conservation Law

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Numerical Prediction of Jet Noise from Nozzle Using Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.574.259 ◽

2014 ◽

Vol 574 ◽

pp. 259-270 ◽

Cited By ~ 1

Author(s):

Yi Jiang ◽

Mei Liang Mao ◽

Xiao Gang Deng ◽

Hua Yong Liu ◽

Zhen Guo Yan

Keyword(s):

Hybrid Cell ◽

Near Field ◽

Jet Noise ◽

Compact Scheme ◽

Far Field ◽

Eddy Simulation ◽

Large Eddy ◽

Seventh Order ◽

Good Agreement ◽

Implicit Large Eddy Simulation

Jet noise from nozzle is predicted by seventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7). Turbulent flow, which has the main responsibility for the noise radiation, is simulated by a new high-order implicit large eddy simulation (HILES) based on the HDCS-E8T7. The conception of HILES is similar to that of monotone integrated LES (MILES), i.e., truncation error of the discretization scheme itself is employed to model the effects of unresolved scales. The Mach number in this case is 0.75 and the jet Reynolds number is . Sound pressure levels (SPL) in far-field observer locations are evaluated by Ffowcs Williams-Hawkings (FW-H) integral method. Predicted near-field flow statistics and far-field SPL are both in good agreement with the corresponding experimental data.

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Effect of Surface Conservation Law on Large Eddy Simulation Based on Seventh-Order Dissipative Compact Scheme

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.419.30 ◽

2013 ◽

Vol 419 ◽

pp. 30-37 ◽

Cited By ~ 5

Author(s):

Yi Jiang ◽

Mei Liang Mao ◽

Xiao Gang Deng ◽

Hua Yong Liu

Keyword(s):

Large Eddy Simulation ◽

Conservation Law ◽

Hybrid Cell ◽

Compact Scheme ◽

Eddy Simulation ◽

Simulation Based ◽

Large Eddy ◽

Seventh Order ◽

Effect Of Surface ◽

Implicit Large Eddy Simulation

This work investigates the effect of surface conservation law (SCL) on the high-order implicit large eddy simulation (HILES). The HILES is developed based on a seventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7). According to the test of flow over a cylinder, the flowfield of HILES may be contaminated by the SCL errors. Comparing with experimental data and other numerical results, reliable solutions are obtained by the HILES satisfying the SCL.

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