Inflow below the rotor disk for skewed flow by the finite-state, adjoint method

  • Zhongyang Fei
  • , David A. Peters

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Scopus citations

Abstract

The inflow below the rotor disk is derived in a mathematically rigorous way from the potential flow equations and the Peters-Morrilo inflow model. With information from the co-states of the adjoint inflow equations (along with the normal states), one can calculate the velocity in the hemisphere below the rotor disk plane (the regions both within and outside the wake are included) without losing accuracy or convergence rate. The new methodology enables one to calculate the velocity below the rotor disk with the Finite-state method, and the only cost is the addition of the uncoupled co-states. Numerical results compared with exact solutions for the z-component in skewed angle flow are showed in order to illustrate the effectiveness of the new method.

Original languageEnglish
Title of host publication38th European Rotorcraft Forum 2012, ERF 2012
Pages708-719
Number of pages12
StatePublished - 2012
Event38th European Rotorcraft Forum 2012, ERF 2012 - Amsterdam, Netherlands
Duration: Sep 4 2012Sep 7 2012

Publication series

Name38th European Rotorcraft Forum 2012, ERF 2012
Volume1

Conference

Conference38th European Rotorcraft Forum 2012, ERF 2012
Country/TerritoryNetherlands
CityAmsterdam
Period09/4/1209/7/12

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