Numerical model reduction of 2D steady incompressible laminar flows: Application on the flow over a backward-facing step

DOI10.1016/j.jcp.2008.12.001zbMath1162.76032OpenAlexW2062331091MaRDI QIDQ1009980

J. Martínez

Publication date: 3 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.12.001

zbMATH Keywords

optimizationparameter estimationadjoint methodidentification method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (7)

Optical tomography reconstruction algorithm with the finite element method: an optimal approach with regularization tools ⋮ An experimental study of heat transfer to turbulent separation fluid flow in an annular passage ⋮ On the use of reduced models obtained through identification for feedback optimal control problems in a heat convection-diffusion problem ⋮ A finite volume formulation for transient convection and diffusion equations with unstructured distorted grids and its applications in fluid flow simulations with a collocated variable arrangement ⋮ Computation of compressible and incompressible flows with a space-time stabilized finite element method ⋮ A reduced-order model of mould heat transfer in the continuous casting of steel ⋮ Бездивергентный метод коллокаций и наименьших квадратов для расчета течений несжимаемой жидкости и его эффективная реализация

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solutions of 2-D steady incompressible flow over a backward-facing step. I: High Reynolds number solutions
• Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
• Application of a fractional-step method to incompressible Navier-Stokes equations
• A reduced-order method for simulation and control of fluid flows
• A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates
• Induction heating processes optimization: A general optimal control approach
• An introduction to Navier-Stokes equation and oceanography.
• Model reduction for thermal diffusion: Application of the Eitelberg, Marshall and aggregation methods to a heat transmission tube model
• Comparison between the modal identification method and the POD-Galerkin method for model reduction in nonlinear diffusive systems
• The important modes of subsystems: A moment-matching approach
• The adjoint method coupled with the modal identification method for nonlinear model reduction
• Reduced modelling through identification on 2D incompressible laminar flows
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Optimal Control of Thermally Convected Fluid Flows
• Is the steady viscous incompressible two‐dimensional flow over a backward‐facing step at Re = 800 stable?
• Finite element solution of the streamfunction‐vorticity equations for incompressible two‐dimensional flows
• Three-dimensional instability in flow over a backward-facing step
• Remarks on multilevel bases for divergence-free finite elements

This page was built for publication: Numerical model reduction of 2D steady incompressible laminar flows: Application on the flow over a backward-facing step