Aerodinamička optimizacija oblika pomoću površinske osjetljivosti korištenjem jednadžbi kontinuiranog adjointa

master's thesis

• Title (english): Aerodynamic Shape Optimisation Based on Adjoint Surface Sensitivities
• Author: Nikola Lisjak
• Mentor: Hrvoje Jasak (mentor)
• Granter: University of Zagreb; Faculty of Mechanical Engineering and Naval Architecture; Zagreb
• Defense date and country: 2016-05-20, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Mechanical Engineering
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Aviation, Rocket and Space Technology

Abstract

U sklopu ovog diplomskog rada izvedene su kontinuirane adjungirane jednadžbe iz jednadžbi stacionarnog nestlačivog turbulentnog strujanja s k-epsilon modelom turbulencije. Opisane su najčešće korištene funkcije cilja u industriji te su opisani adjungirani rubni uvjeti. Za područje uz zid korištene su adjungirane zidne funkcije.
Provedena je simulacija nestlačivog stacionarnog strujanja kroz cijev savinutu u dvije i tri dimenzije s k-epsilon modelom turbulencije. Izračunate su osjetljivosti površine modela na ciljnu funkciju smanjenja pada energije kroz domenu. Površinske osjetljivosti korištene su kao ulayni parametar za rješavač za pomicanje mreže, dok je za izračun osjetljivosti primijenjena kontinuirana formulacija adjungiranih jednadžbi. Također ukratko prikazano automatsko pomicanje mreže pomoću rješavača koji rješava Laplace-ovu jednadžbu metodom konačnih elemenata na točkama mreže. Rješenja na početnoj i pomaknutoj mreži su uspoređena.

Abstract (english)

In this thesis continuous adjoint equations are derived from corresponding flow equations for stationary incompressible turbulent flow with k-epsilon turbulence model and are presented in detail. Several commonly used objective functions are described along with boundary conditions corresponding to objective function for total pressure loss minimization. %adjoint boundary conditions
An incompressible stationary flow simulation through two and three dimensionally bent pipe is conducted with k-epsilon turbulence model and ran with adjoint solver afterwards. Surface sensitivities are calculated, which served as an input for wall displacement and solved with automatic mesh motion solver based on Laplacian equation with finite element method. A comparison of primal flow quality is assessed for original and modified configuration.

• Keywords: gradijentna optimizacija; pomicanje mreže; Lagrange-ovi multiplikatori; kontinuirane adjungirane jednadžbe; optimizacija oblika
• Keywords (english): gradient optimisation; mesh motion; continous adjoint; lagrange multipliers; shape optimisation; fluid dynamics
• Language: croatian
• URN:NBN: urn:nbn:hr:235:771980
• Study programme: Title: Aeronautical Studies; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra inženjer/inženjerka zrakoplovnog inženjerstva (magistar/magistra inženjer/inženjerka zrakoplovnog inženjerstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-05-28 10:20:28