Adjoint Calculation of Sensitivities of Turbomachinery Objective Functions
Citations Over TimeTop 14% of 2003 papers
Abstract
An overview is presented of the steady and harmonic adjoint methods for turbomachinery design using the discrete approachin which the discretized nonlinearEuler/Navier–Stokes equationsare linearized and the resulting matrix is then transposed. Steady adjoint solvers give the linear sensitivity of steady-state functionals such asmass � ow and average exit � ow angle to arbitrary changes in the geometry of the blades, and this linear sensitivity information can then be used as part of a nonlinear optimization procedure. The harmonic adjoint method is based on a single frequency of unsteadiness and allows one to determine the generalized force acting on the blades due to arbitrary incoming time-periodic gusts. When the forcing is due to the wakes of the upstream blades, the adjointapproach can be used to tailor the shape of the incomingwakes to reduce greatly the level of forced vibration they induce. The presented suite of test cases includes the inlet guide vane and the rotor of a high-pressure turbine.
Related Papers
- → A unified RANS–LES model: Computational development, accuracy and cost(2013)83 cited
- → Towards a generalised dual-mesh hybrid LES/RANS framework with improved consistency(2017)14 cited
- → Dynamic Unified RANS-LES Simulations of Periodic Hill Flow(2019)9 cited
- → Problem and Analysis Technology on Vibration of Turbomachinery(2009)
- Susquehanna Chorale Spring Concert "Roots and Wings"(2017)