Publications related to Second-order adjoint-based sensitivity for hydrodynamic stability and control

Open-loop control of a separated boundary layer

Linear optimal gains

G_opt(\omega)

are computed for the separated boundary-layer flow past a two-dimensional bump in the subcritical regime. Very large values are found, making it possible for small-amplitude noise to be strongly amplified and to destabi ...

Cépaduès Editions2013

Stability analysis and control of the flow in a symmetric channel with a sudden expansion

Andrea Fani

The laminar flow in two-dimensional diffusers may produce either symmetric or nonsymmetric steady solutions, depending on the value of the Reynolds number as compared with some critical value. The stability properties of the flow are studied in the context ...

American Institute of Physics2012

Chebyshev interpolation for nonlinear eigenvalue problems

Daniel Kressner, Peter Cedric Effenberger

This work is concerned with numerical methods for matrix eigenvalue problems that are nonlinear in the eigenvalue parameter. In particular, we focus on eigenvalue problems for which the evaluation of the matrix-valued function is computationally expensive. ...

Springer Netherlands2012

Global modes in a confined impinging jet: application to heat transfer and control

Philippe Meliga

We investigate the stability and control of a plane, laminar jet impinging on a flat plate in a channel, a geometry used to cool down a hot wall with a cold air jet in many industrial configurations. The global stability analysis indicates that, even for a ...

Springer-Verlag2011

Linearization techniques for band structure calculations in absorbing photonic crystals

Daniel Kressner, Peter Cedric Effenberger

Band structure calculations for photonic crystals require the numerical solution of eigenvalue problems. In this paper, we consider crystals composed of lossy materials with frequency-dependent permittivities. Often, these frequency dependencies are modele ...

2011

Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems

Daniel Kressner, Peter Cedric Effenberger

Invariant pairs have been proposed as a numerically robust means to represent and compute several eigenvalues along with the corresponding (generalized) eigenvectors for matrix eigenvalue problems that are nonlinear in the eigenvalue parameter. In this wor ...

Springer-Verlag2011

Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

Jan Sickmann Hesthaven

A high-order discretization consisting of a tensor product of the Fourier collocation and discontinuous Galerkin methods is presented for numerical modeling of magma dynamics. The physical model is an advection-reaction type system consisting of two hyperb ...

GLOBAL SCIENCE PRESS2011

Open-loop control of compressible afterbody flows using adjoint methods

Philippe Meliga

The flow past an axisymmetric body is generically unstable to a steady and a time-periodic global instability, the latter being thought to lead the low-frequency unsteadiness of the wake even at larger Reynolds numbers. The present paper examines how the g ...

2010

A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral elements

Michel Deville, Nicolas Fietier, Azadeh Jafari

This study presents a new algorithm developed in order to remove instabilities observed in the simulation of unsteady viscoelastic fluid flows in the framework of the spectral element method. In this study, we consider a particular model of the finite exte ...

2010

A block Newton method for nonlinear eigenvalue problems

Daniel Kressner

We consider matrix eigenvalue problems that are nonlinear in the eigenvalue parameter. One of the most fundamental differences from the linear case is that distinct eigenvalues may have linearly dependent eigenvectors or even share the same eigenvector. Th ...

2009

Second-order adjoint-based sensitivity for hydrodynamic stability and control

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Open-loop control of a separated boundary layer

Stability analysis and control of the flow in a symmetric channel with a sudden expansion

Chebyshev interpolation for nonlinear eigenvalue problems

Global modes in a confined impinging jet: application to heat transfer and control

Linearization techniques for band structure calculations in absorbing photonic crystals

Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems

Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

Open-loop control of compressible afterbody flows using adjoint methods

A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral elements

A block Newton method for nonlinear eigenvalue problems

Stability analysis and control of the flow in a symmetric channel with a sudden expansion

Open-loop control of compressible afterbody flows using adjoint methods

Open-loop control of a separated boundary layer

Chebyshev interpolation for nonlinear eigenvalue problems

Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

Linearization techniques for band structure calculations in absorbing photonic crystals

Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems

A block Newton method for nonlinear eigenvalue problems

Global modes in a confined impinging jet: application to heat transfer and control

A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral elements