Improvement of the recursive projection method for linear iterative scheme stabilization based on an approximate eigenvalue problem

DOI10.1016/j.jcp.2011.03.057zbMath1220.65040OpenAlexW2086555239MaRDI QIDQ550993

Florent Renac

Publication date: 13 July 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.057

zbMATH Keywords

algorithmfinite difference methodstabilizationnumerical experimentseigenvalue problemsKrylov subspace methodturbulent transonic flowaerodynamic shape optimizationlinear advection-diffusion equationrecursive projection method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods applied to problems in fluid mechanics (76M20) General aerodynamics and subsonic flows (76G25) Iterative numerical methods for linear systems (65F10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (3)

Computation of eigenvalue sensitivity to base flow modifications in a discrete framework: application to open-loop control ⋮ Comparative study of inner-outer Krylov solvers for linear systems in structured and high-order unstructured CFD problems ⋮ Flow control design inspired by linear stability analysis

Uses Software

• LAPACK
• eigs
• IRAM

Cites Work

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• Numerical sensitivity analysis for aerodynamic optimization: a survey of approaches
• Continuation of invariant subspaces via the recursive projection method.
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Stabilization of Unstable Procedures: The Recursive Projection Method
• Efficient and robust algorithms for solution of the adjoint compressible Navier-Stokes equations with applications
• Artificial dissipation models for the Euler equations
• LAPACK Users' Guide
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Large-Scale Continuation and Numerical Bifurcation for Partial Differential Equations

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