Shape Sensitivity Analysis of the Work Functional for the Compressible Navier–Stokes Equations

DOI10.1007/978-3-319-08025-3_11zbMath1327.49074OpenAlexW979086884MaRDI QIDQ5264980

P. I. Plotnikov, Jan Sokolowski

Publication date: 21 July 2015

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08025-3_11

zbMATH Keywords

shape optimizationcompressible Navier-Stokes equationsrigid obstacleshape sensitivityshape derivativenonhomogeneous Dirichlet conditionsdrag functionalwork functional

Mathematics Subject Classification ID

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)

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Cites Work

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• Shape Derivative of Drag Functional
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• On the analysis of boundary value problems in nonsmooth domains
• Inhomogeneous Boundary Value Problems for Compressible Navier–Stokes Equations: Well-Posedness and Sensitivity Analysis
• Domain Dependence of Solutions to Compressible Navier–Stokes Equations

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