A new linear wavepacket tracking method is presented that can ultimately be used for efficient transition prediction of hypersonic boundary-layers. The wavepacket tracking method employs higher-order accurate adaptive mesh refinement to track wavepackets that are introduced in the boundary-layer via pulse disturbances. The evolution of these wavepackets is used to extract boundary-layer stability characteristics, such as amplitude curves, growth rates and N-Factor curves, which are commonly used for transition prediction. The efficiency and accuracy of the wavepacket tracking method, for determining the stability characteristics of the flow, strongly depends on the numerical implementation details, such as the refinement criteria, the tracking parameter and refinement function used for adaptive mesh refinement. While the computational expense at one time step of continuous forcing approaches, commonly employed in direct numerical simulations of transitional flows, scales with the size of the geometry of interest, the computational expense for the current adaptive mesh refinement wavepacket tracking method scales with the size of the wavepacket. A detailed description of the adaptive mesh refinement wavepacket tracking (AMR-WPT) method and its computational expense is provided and the method is validated against stability analysis results extracted from direct numerical simulations on static meshes and linear stability theory for a supersonic shear layer and different hypersonic boundary-layer flows.
|Number of pages||26|
|Journal||Journal of Computational Physics|
|State||Published - Mar 1 2019|
Bibliographical noteFunding Information:
This work was supported by the U.S. Air Force under a Phase 1 SBIR contract, with Dr. Eric Marineau serving as the Technical Point of Contact. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the U.S. Air Force or the U.S. Government.
© 2019 Elsevier Inc.
- Adaptive mesh refinement
- Boundary-layer stability
- Hypersonic transition
- Wavepacket model
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy (all)
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics