Title :
Numerical method for drag minimization in compressible flows
Author :
Kazmierczak, Anna ; Plotnikov, P.I. ; Sokolowski, Jan ; Zochowski, Antoni
Author_Institution :
Fac. of Math. & Inf., Univ. of Lodz, Lodz, Poland
Abstract :
In the series of papers the mathematical theory of shape optimization for compressible Navier-Stokes inhomogeneous boundary value problems is developed. The key part of the theory include the new results on the existence and shape differentiability of the weak solutions to compressible Navier-Stokes equations. In particular, our results lead to the rigorous mathematical framework for the drag minimization of an obstacle in the flow of gas with small adiabatic constant.
Keywords :
Navier-Stokes equations; boundary-value problems; compressible flow; drag; numerical analysis; adiabatic constant; compressible Navier-Stokes inhomogeneous boundary value problems; compressible flows; drag minimization; gas flow; mathematical theory; numerical method; shape differentiability mathematical framework; shape optimization; Boundary conditions; Drag; Equations; Minimization; Navier-Stokes equations; Optimization; Shape;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2010 15th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4244-7828-6
DOI :
10.1109/MMAR.2010.5587258
