Uniform Error Estimates for Navier--Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method

DOI10.1137/151003441zbMath1326.76078arXiv1503.05810OpenAlexW2963505796MaRDI QIDQ2945679

J. Thomas Beale

Publication date: 14 September 2015

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

Full work available at URL: https://arxiv.org/abs/1503.05810

zbMATH Keywords

convergenceNavier-Stokes equationserror estimatesfinite difference methodsfluid-structure interactionimmersed interface methodmoving boundariesmaximum normCartesian grid methodsfluid interfacesapproximate projections

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs with low regular coefficients and/or low regular data (35R05) Finite difference methods for boundary value problems involving PDEs (65N06) Other free boundary flows; Hele-Shaw flows (76D27)

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