A new modification of the immersed boundaries method for fluid-solid flows: moderate Reynolds numbers

Authors:
A. Vikhansky
Affiliations:
Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge CB2 3RA, UK
Venue:
Journal of Computational Physics
Year:
2003

Citing 6
Cited 1

Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method

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Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations

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A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow

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Direct numerical simulations of fluid-solid systems using the arbitrary Langrangian-Eulerian technique

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A second-order-accurate symmetric discretization of the Poisson equation on irregular domains

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Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow

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A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries

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Abstract

In this study we consider a combination of an interpolation technique with the D'Alambert principle that allows the direct numerical simulation of fluid-solid flows on a regular rectangular grid. The method models a no-slip boundary with the second-order accuracy interpolation scheme without explicit calculation of the forces that the particles exert at the fluid. The method is applicable for a wide range of Reynolds numbers from creeping flows up to Re ≈ 100.