Topological sensitivity analysis of a time-dependent nonlinear problem

DOI10.1186/s13661-019-1138-8OpenAlexW2914201856WikidataQ128453040 ScholiaQ128453040MaRDI QIDQ2108222

Nejmeddine Chorfi, Mohamed Abdelwahed, Maatoug Hassine, Azhar Al Salem

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1138-8

zbMATH Keywords

shape optimizationcalculus of variationsDarcy equationtopological sensitivitytime-dependent Navier-Stokes equation

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Incompressible viscous fluids (76Dxx) Manifolds and measure-geometric topics (49Qxx)

Related Items (2)

Obstacle detection in fluid flow using asymptotic analysis technique ⋮ Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak

Cites Work

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• Topology optimization of steady and unsteady incompressible Navier-Stokes flows driven by body forces
• Topology optimization of channel flow problems
• Topological optimization method for a geometric control problem in Stokes flow
• Topology optimization of time dependent viscous incompressible flows
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Nonlinear elliptic equations with variable exponent: old and new
• Topology optimization of creeping fluid flows using a Darcy–Stokes finite element
• Mixed and Hybrid Finite Element Methods
• On the Topological Derivative in Shape Optimization
• Simulation of Coupled Viscous and Porous Flow Problems
• Topological Sensitivity and Shape Optimization for the Stokes Equations
• Topology optimization of fluids in Stokes flow
• Partial Differential Equations with Variable Exponents
• The topological asymptotic expansion for the Quasi-Stokes problem

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