Adjoint

  • Application: Design of electromagnetic control system to improve the performance of a hypersonic vehicle
  • Formulation: Euler/NS + MHD equations + Adjoint formulation
  • Approach: Discrete adjoint formulation with selective AD
Generic hypersonic vehicle
Leading edge flow control system (magnetic field lines shown)
Sensitivity of the lift coefficient to the electrical conductivity (s) of every point in the medium (>500K parameters).

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  1. Marta, A. “Rapid Development of Discrete Adjoint Solvers with Applications to Magnetohydrodynamic Flow Control”. Ph.D. Dissertation, Stanford University, 2007.
  2. Marta, A. & Alonso, J. J. “High-speed MHD Flow Control using Adjoint-based Sensitivities”, AIAA 2006-8009.

 

 
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