Optimal shape determination of a body located in incompressible viscous fluid flow

DOI10.1016/j.cma.2007.07.008zbMath1173.76317OpenAlexW2028400735MaRDI QIDQ1033539

Mutsuto Kawahara, Hiroko Yagi

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.07.008

zbMATH Keywords

finite element methodoptimal shapeNavier-Stokes equationoptimal control theoryweighted gradient methodmixed interpolationfluid forcestreamline shape

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (15)

Shape optimisation of wall structures located in solitary wave flows ⋮ Shape optimisation problem for stability of Navier–Stokes flow field ⋮ Shape optimization of a body located in incompressible flow using adjoint method and partial control algorithm ⋮ Shape optimization of a body in compressible inviscid flows ⋮ A shape optimisation method of a body located in adiabatic flows ⋮ Shape Optimisation of a Heat Source in a Thermal Convection Field Considering Perimeter Constraint Condition ⋮ Stabilized finite element method for incompressible flows with high Reynolds number ⋮ Long‐time behavior of shape design solutions for the Navier–Stokes equations ⋮ Two dimensional shape optimization using partial control and finite element method for compressible flows ⋮ Shape optimisation of an oscillating body in fluid flow by adjoint equation and ALE finite element methods ⋮ Examination for adjoint boundary conditions in initial water elevation estimation problems ⋮ A new stabilized finite element method for shape optimization in the steady Navier-Stokes flow ⋮ Unsteady flow optimization by a stabilized finite element method ⋮ An iterative method for shape optimal design of Stokes-Brinkman equations with heat transfer model ⋮ Shape optimization for an obstacle located in incompressible Boussinesq flow

Cites Work

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• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Optimal Control in Navier-Stokes Equations
• Shape Optimization of Body Located in Incompressible Viscous Flow Based on Optimal Control Theory
• On optimum design in fluid mechanics
• On optimum profiles in Stokes flow
• Shape optimization of a body located in low Reynolds number flow
• Solution to shape optimization problems of viscous flow fields

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