Optimised boundary compact finite difference schemes for computational aeroacoustics

Kim, Jae Wook

doi:10.1016/j.jcp.2007.01.008

Cited by 115 publications

(108 citation statements)

References 22 publications

Supporting

Mentioning

107

Contrasting

Order By: Relevance

“…The three-dimensional Navier-Stokes equations are solved with the Delayed Detached Eddy Simulation (DDES) turbulence model 17 in generalized coordinates using high-order optimized penta-diagonal finite-difference schemes. 18 Compact filters 19 are used for numerical stability. At block interfaces, a finite volume method is applied to reduce grid-induced errors.…”

Section: Numerical Methods and Computational Setupmentioning

confidence: 99%

Interaction Noise from Tandem Landing Gear Wheels with Hub and Rim Cavities

Wang

Angland

Scotto

2017

23rd AIAA/CEAS Aeroacoustics Conference

View full text Add to dashboard Cite

Wheels are major noise sources on landing gears. Accurate numerical predictions of wheel noise can provide insights into landing gear noise generation mechanisms and help improve landing gear noise prediction models. Previous simulations have been conducted on an isolated high-fidelity wheel model containing a tyre, a hub, a sidewall and two rim cavities. The hub cavity was an important middle frequency noise source due to the first and second hub cavity depth modes, and the rim cavities were major high frequency noise sources. This work investigates the major noise sources in different frequency ranges of two tandem wheels, with the same geometry as the previous isolated wheel case, by performing high-order numerical simulations at M = 0.23. This paper focuses on the mechanisms and characteristics of the wheel interaction noise. The aerodynamic results are validated against experiments and demonstrate reasonable agreements. The flow interactions are found to be mainly in the side direction with a spectral peak in the side force at a Strouhal number of 0.19, based on the wheel width, which is due to a flapping shear layer mode in the gap. The downstream wheel is the major noise source and has a favourable sound radiation direction to the sideline. The effects of the downstream wheel hub and rim cavities are isolated by covering them in the simulations. The flow interactions dominate the hub cavity depth modes in the generation of middle frequency downstream wheel noise. For high frequency noise, covering both the hub and rim cavities on the downstream wheel only, reduced the noise radiated towards the ground. This high frequency noise reduction was not achieved when the hub cavity alone was covered.

show abstract

Section: Numerical Methods and Computational Setupmentioning

confidence: 99%

Interaction Noise from Tandem Landing Gear Wheels with Hub and Rim Cavities

Wang

Angland

Scotto

2017

23rd AIAA/CEAS Aeroacoustics Conference

View full text Add to dashboard Cite

show abstract

“…As in Carpenter et al [10] the linear stability of the matrix system was investigated using eigenvalue analysis. Kim [1] found that with a coarse grid the schemes contained some slightly positive eigenvalue components. Although, after some grid refinement it was demonstrated that these will tend towards zero, hence implying neutral stability.…”

Section: Introductionmentioning

confidence: 99%

“…Although inverting such a system requires a higher computational cost, they can offer vastly superior resolution for a given stencil size compared to their explicit counterparts. This quality has made them increasingly popular in the fields of computational aeroacoustics (CAA) [1,2], large eddy simulation (LES) [3][4][5], and direct numerical simulation (DNS) [6][7][8], particularly when high resolution is a necessity in order to properly resolve the relevant physical scales.…”

Section: Introductionmentioning

confidence: 99%

“…A previous attempt at this was undertaken by Kim [1]. Kim introduced a highly optimised fourth-order pentadiagonal compact scheme and set of boundary closures particularly for CAA applications.…”

Section: Introductionmentioning

confidence: 99%

“…Liu et al [11] expanded on the optimisation strategy of Kim [1] by introducing a sequential quadratic programming technique (SQP). This iteratively increased the upper limit of the optimisation range (r), establishing optimal values for both interior and boundary schemes.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Improving the boundary efficiency of a compact finite difference scheme through optimising its composite template

Turner

Haeri²,

Kim

2016

Computers & Fluids

Self Cite

View full text Add to dashboard Cite

This paper presents efforts to improve the boundary efficiency and accuracy of a compact finite difference scheme, based on its composite template.Unlike precursory attempts the current methodology is unique in its quantification of dispersion and dissipation errors, which are only evaluated after the matrix system of equations has been rearranged for the derivative. This results in a more accurate prediction of the boundary performance, since the analysis is directly based on how the derivative is represented in simulations.A genetic algorithm acts as a comprehensive method for the optimisation of the boundary coefficients, incorporating an eigenvalue constraint for the linear stability of the matrix system of equations. The performance of the optimised composite template is tested on one-dimensional linear wave convection and two-dimensional inviscid vortex convection problems, with uniform and curvilinear grids. In all cases, it yields substantial accuracy and * Corresponding author, Email address: J.M.Turner@soton.ac.uk * * Current address: Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glassgow, G1 1XQ, UK Preprint submitted to Computers & Fluids August 16, 2016 efficiency improvements while maintaining stable solutions and fourth-order accuracy.

show abstract

Direct Numerical Simulation of Turbulent Fluid Flow

Coleman

Sandberg

2010

Encyclopedia of Aerospace Engineering

View full text Add to dashboard Cite

An overview is given of benefits, costs and challenges associated with direct, i.e. model‐free, numerical simulations of turbulence. The central role played by the Reynolds number, and its relationship to the computational cost, is explained. Critical numerical issues are introduced, including the rationale for the widespread use of spectral and finite‐difference methods. Practical guidelines are offered for performing this specialist subset of Computational Fluid Dynamics.

show abstract

Optimised boundary compact finite difference schemes for computational aeroacoustics

Cited by 115 publications

References 22 publications

Interaction Noise from Tandem Landing Gear Wheels with Hub and Rim Cavities

Interaction Noise from Tandem Landing Gear Wheels with Hub and Rim Cavities

Improving the boundary efficiency of a compact finite difference scheme through optimising its composite template

Direct Numerical Simulation of Turbulent Fluid Flow

Contact Info

Product

Resources

About