On the accuracy of direct forcing immersed boundary methods with projection methods

DOI10.1016/j.jcp.2009.10.027zbMath1423.76337OpenAlexW2103604442MaRDI QIDQ2269844

Robert D. Guy, David A. Hartenstine

Publication date: 11 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.10.027

zbMATH Keywords

Navier-Stokes equationsincompressible flowprojection methodsimmersed boundary methoddirect forcing method

Mathematics Subject Classification ID

Related Items (23)

Immersed boundary and overset grid methods assessed for Stokes flow due to an oscillating sphere ⋮ An analysis of the spatio-temporal resolution of the immersed boundary method with direct forcing ⋮ A simple direct-forcing immersed boundary projection method with prediction-correction for fluid-solid interaction problems ⋮ A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems ⋮ Immersed boundary simulations of flows driven by moving thin membranes ⋮ A simple immersed-boundary method for solid-fluid interaction in constant- and stratified-density flows ⋮ A higher-order immersed boundary-lattice Boltzmann method using a smooth velocity field near boundaries ⋮ A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates ⋮ A stress tensor discontinuity-based immersed boundary-lattice Boltzmann method ⋮ Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers ⋮ An immersed-boundary/isogeometric method for fluid-structure interaction involving thin shells ⋮ Uniform Error Estimates for Navier--Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method ⋮ A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion equations and high-order discontinuous Galerkin schemes ⋮ Flight force production by flapping insect wings in inclined stroke plane kinematics ⋮ Simulations of natural and forced convection flows with moving embedded object using immersed boundary method ⋮ A class of Cartesian grid embedded boundary algorithms for incompressible flow with time-varying complex geometries ⋮ A boundary condition capturing immersed interface method for 3D rigid objects in a flow ⋮ A boundary thickening-based direct forcing immersed boundary method for fully resolved simulation of particle-laden flows ⋮ A conservative and non-dissipative Eulerian formulation for the simulation of soft solids in fluids ⋮ A finite element penalized direct forcing immersed boundary method for infinitely thin obstacles in a dilatable flow ⋮ Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems ⋮ IB-WENO method for incompressible flow with elastic boundaries ⋮ Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary

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