Shape derivatives for the compressible Navier-Stokes equations in variational form

DOI10.1016/j.cam.2015.09.010zbMath1329.49093arXiv1312.5861OpenAlexW1681020091MaRDI QIDQ898959

Matthias Sonntag, Stephan Schmidt, Nicolas R. Gauger

Publication date: 21 December 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5861

zbMATH Keywords

shape optimizationcompressible Navier-Stokes equationsshape derivative

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational methods applied to problems in fluid mechanics (76M30) Navier-Stokes equations (35Q30) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for compressible fluids and gas dynamics (76N25) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items

Optimum Experimental Design by Shape Optimization of Specimens in Linear Elasticity, Shape sensitivity of thermoacoustic oscillations in an annular combustor with a 3D adjoint Helmholtz solver, Weak and Strong Form Shape Hessians and Their Automatic Generation, Efficient Numerical Solution of Geometric Inverse Problems Involving Maxwell's Equations Using Shape Derivatives and Automatic Code Generation, Adjoint-based shape optimization of the microchannels in an inkjet printhead, Optimal cavity shape design for acoustic liners using Helmholtz equation with visco-thermal losses, Algorithmic differentiation of the Open CASCADE Technology CAD kernel and its coupling with an adjoint CFD solver, Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing

Uses Software

• Spalart-Allmaras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuous adjoint approach to the Spalart-Allmaras turbulence model for incompressible flows
• A continuous adjoint method with objective function derivatives based on boundary integrals, for inviscid and viscous flows
• Aerodynamic design via control theory
• Optimum aerodynamic design using the Navier-Stokes equations
• Discrete surprises in the computation of sensitivities from boundary integrals in the continuous adjoint approach to inviscid aerodynamic shape optimization
• Airfoil design for compressible inviscid flow based on shape calculus
• Variational approach to shape derivatives for a class of Bernoulli problems
• Automatic Differentiation of an Entire Design Chain for Aerodynamic Shape Optimization
• Variational approach to shape derivatives
• Impulse Response Approximations of Discrete Shape Hessians with Application in CFD
• On optimum profiles in Stokes flow
• On Convergence in Elliptic Shape Optimization