A continuous shape sensitivity equation method for unsteady laminar flows
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Publication:3551609
DOI10.1080/10618560701649952zbMath1184.76657OpenAlexW2168552194MaRDI QIDQ3551609
Dominique Pelletier, Florin Ilinca
Publication date: 15 April 2010
Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://nrc-publications.canada.ca/eng/view/accepted/?id=6ce39761-b780-4863-a370-a37d19d19a7f
Finite element methods applied to problems in fluid mechanics (76M10) Flow control and optimization for incompressible viscous fluids (76D55)
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Cites Work
- First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- 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
- Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- Stochastic finite element modelling in linear transient heat transfer
- A PDE sensitivity equation method for optimal aerodynamic design
- On stabilized finite element formulations for incompressible advective-diffusive transport and fluid flow problems
- The continuous Galerkin method is locally conservative
- A continuous sensitivity equation method for time-dependent incompressible laminar flows
- Direct sensitivity analysis for smooth unsteady compressible flows using complex differentiation
- Computation of accurate nodal derivatives of finite element solutions: the finite node displacement method
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- Perspectives in Flow Control and Optimization
- A continuous second‐order sensitivity equation method for time‐dependent incompressible laminar flows
- The complex-step derivative approximation
- Numerical Differentiation of Analytic Functions
- On accurate boundary conditions for a shape sensitivity equation method