A New Biorthogonal Decomposition Method and DNS Receptivity Studies for Amplitude Method in Hypersonic Boundary-Layer Transition Prediction with Atmospheric Turbulence
Abstract
AbstractA New Biorthogonal Decomposition Method and DNS Receptivity Studies for Amplitude Method in Hypersonic Boundary-Layer Transition Prediction with Atmospheric TurbulencePI: Dr. Xiaolin Zhong, UCLA The receptivity of hypersonic boundary layers to freestream turbulence, as well as to other types of disturbances, plays a critical role in the laminar to turbulent transition of hypersonicboundary layers. The understanding of the receptivity mechanism, in the form of broadband receptivity coefficients, has been long suggested by researchers to be the main missing piece preventing the development of an accurate physics-based transition prediction method such as Mack s amplitude method for hypersonic vehicles in flight. This proposal seeks to conduct a three-year theoretical andcomputational study of hypersonic receptivity by a combination of direct numerical simulation (DNS) of freestream disturbance, especially freestream turbulence, and theoretical analysis based on the linear stability theory (LST) and the bi-orthogonal decomposition of receptivity data. The bi-orthogonal decomposition and DNS simulation results will ultimately be used to compute receptivity coefficients in implementing Mack s amplitude method for the transition prediction induced by freestream turbulence. The specific research objectives are 1) to develop a new very high-order numerical method for the biorthogonal eigenfunction decomposition of both discrete and continuous wave modes to extract the receptivity coefficients from DNS results accurately; 2) to conduct necessary DNS simulations of receptivity to 3-D freestream broadband disturbances for a hypersonic boundary layer flow over a blunt cone using the PI s high-order shock fitting scheme and decomposing the unsteady DNS results using the new theoretical tool; 3) to implement the bi-orthogonal decomposition on the branch I neutral stability point data and calculate the new receptivity coefficient. The incorporation of our new receptivity coefficients into the amplitude method for transition prediction for validation will follow; 4) to apply the new biorthogonal decomposition method on the amplitude method for transition prediction in flight with freestream turbulence at various atmospheric altitudes. The content of this abstract is not restricted for public releases.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jun 13, 2024
- Source ID
- N000142412371
Entities
People
- Xiaolin Zhong
Organizations
- Office of Naval Research
- United States Navy
- University of California, Los Angeles