A two-step model order reduction method to simulate a compressible flow over an extended rough surface

DOI10.1016/j.matcom.2018.02.008OpenAlexW2789708282MaRDI QIDQ1997115

Siegfried Müller, G. Deolmi

Publication date: 1 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2018.02.008

zbMATH Keywords

compressible flowmodel order reductionmultiscale modeling

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible viscous fluids (76Dxx) Coupling of solid mechanics with other effects (74Fxx)

Related Items (2)

Comparison of reduced basis construction methods for model order reduction, with application to non-linear low frequency electromagnetics ⋮ A reduced order model to simulate compressible flows over an actuated riblet surface

Uses Software

• deal.ii
• pyMOR

Cites Work

• Unnamed Item
• Optimal microstructures drag reducing mechanism of riblets
• An adaptive multiscale finite volume solver for unsteady and steady state flow computations
• The heterogeneous multiscale methods
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• The general theory of homogenization. A personalized introduction
• Perturbation methods in applied mathematics
• Effective boundary conditions for laminar flows over periodic rough boundaries
• Adaptive multiscale schemes for conservation laws
• Couette flows over a rough boundary and drag reduction
• Numerical simulation of riblet controlled spatial transition in a zero-pressure-gradient boundary layer
• ``Natural norm a posteriori error estimators for reduced basis approximations
• How To Best Sample a Solution Manifold?
• pyMOR -- Generic Algorithms and Interfaces for Model Order Reduction
• A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• A Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media
• Multiscale Finite Element Methods
• deal.II—A general-purpose object-oriented finite element library
• Reduced-Basis Approach for Homogenization beyond the Periodic Setting
• Parallelisation of Multiscale-Based Grid Adaptation using Space-Filling Curves
• Regularity of Solutions to the Navier--Stokes System for Compressible Flows on a Polygon
• Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries
• Effective boundary conditions for compressible flows over rough boundaries
• A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
• Double greedy algorithms: Reduced basis methods for transport dominated problems
• The Heterogeneous Multi-Scale Method for Homogenization Problems
• On the roughness-induced effective boundary conditions for an incompressible viscous flow
• The optimal shape of riblets in the viscous sublayer

This page was built for publication: A two-step model order reduction method to simulate a compressible flow over an extended rough surface