A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier--Stokes Equation

DOI10.1137/140966654zbMath1322.76051OpenAlexW1714607903MaRDI QIDQ3192572

Julian Fischer

Publication date: 13 October 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/256a4e00aed24ec81180fe4a60f959d48e7e2230

zbMATH Keywords

Navier-Stokes equationmodeling errorcompressible fluidincompressible limita posteriori estimate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Navier-Stokes equations (35Q30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Compressible fluids and gas dynamics (76N99)

Related Items (10)

Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions ⋮ A posteriori analysis for dynamic model adaptation in convection-dominated problems ⋮ Multicomponent incompressible fluids—An asymptotic study ⋮ Incompressible limit for a fluid mixture ⋮ On the existence of generalized solutions to a spatio-temporal predator-prey system with prey-taxis ⋮ Asymptotic Preserving Error Estimates for Numerical Solutions of Compressible Navier--Stokes Equations in the Low Mach Number Regime ⋮ Weak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energy ⋮ Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension ⋮ Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model ⋮ Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model

Uses Software

• deal.ii

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