Characteristic boundary conditions with finite-volume ENO scheme for aeroacoustic simulations

Abstract

Characteristic boundary algorithms coupled with high-order modified-flux-approach ENO (essentially non-oscillatory) schemes are proposed in generalized coordinates for the computation of aeroacoustic problems. So far most of the characteristic algorithms have been used along with high-order finite difference schemes. Here in this study finite volume MFA-ENO schemes with characteristic boundary conditions are proposed, and examined to validate the accuracy by applying to several test problems, including the problem of acoustic waves scattered by a circular cylinder and the problem of vortex convection through the outlet boundary. Non-reflecting boundary conditions to prevent acoustic and vorticity waves to be reflected at the boundary are also analysed.

Keywords:

• Characteristic boundary algorithms
• Finite volume ENO schemes
• Acoustic wave scattering
• Vortical flow

Acknowledgements

The authors would like to acknowledge the grant supported by Japan Society for the Promotion of Science.

Notes

^† Tel.: [phone]. Fax: [phone]. [email protected]

Additional information

Notes on contributors

Yoshiaki Nakamura

† † Tel.: [phone]. Fax: [phone]. [email protected]