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research-article

An immersed boundary method for complex incompressible flows

Authors:

Roshan C. Oberoi,

Jack R. Edwards,

Jacky A. RosatiAuthors Info & Claims

Journal of Computational Physics, Volume 224, Issue 2

Pages 757 - 784

https://doi.org/10.1016/j.jcp.2006.10.032

Published: 01 June 2007 Publication History

Abstract

An immersed boundary method for time-dependent, three-dimensional, incompressible flows is presented in this paper. The incompressible Navier-Stokes equations are discretized using a low-diffusion flux splitting method for the inviscid fluxes and second-order central-differences for the viscous components. Higher-order accuracy achieved by using weighted essentially non-oscillatory (WENO) or total variation diminishing (TVD) schemes. An implicit method based on artificial compressibility and dual-time stepping is used for time advancement. The immersed boundary surfaces are defined as clouds of points, which may be structured or unstructured. Immersed-boundary objects are rendered as level sets in the computational domain, and concepts from computational geometry are used to classify points as being outside, near, or inside the immersed boundary. The velocity field near an immersed surface is determined from separate interpolations of the components tangent and normal to the surface. The tangential velocity near the surface is constructed as a power-law function of the local wall normal distance. Appropriate choices of the power law enable the method to approximate the energizing effects of a turbulent boundary layer for higher Reynolds number flows. Five different flow problems (flow over a circular cylinder, an in-line oscillating cylinder, a NACA0012 airfoil, a sphere, and a stationary mannequin) are simulated using the present immersed boundary method, and the predictions show good agreement with previous computational and experimental results. Finally, the flow induced by realistic human walking motion is simulated as an example of a problem involving multiple moving immersed objects.

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Cited By

Tlales KOtmani KNtoukas GRubio GFerrer E(2024)Machine learning mesh-adaptation for laminar and turbulent flows: applications to high-order discontinuous Galerkin solversEngineering with Computers10.1007/s00366-024-01950-y40:5(2947-2969)Online publication date: 15-Mar-2024
https://dl.acm.org/doi/10.1007/s00366-024-01950-y
Joachim JDaunais CBibeau VHeltai LBlais B(2023)A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixingJournal of Computational Physics10.1016/j.jcp.2023.112189488:COnline publication date: 1-Sep-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112189
Xu TChoi J(2023)Efficient monolithic immersed boundary projection method for incompressible flows with heat transferJournal of Computational Physics10.1016/j.jcp.2023.111929477:COnline publication date: 15-Mar-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.111929
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An immersed boundary method for complex incompressible flows

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 224, Issue 2

June, 2007

833 pages

ISSN:0021-9991

Issue’s Table of Contents

Copyright © Elsevier Inc.

Publisher

Academic Press Professional, Inc.

United States

Publication History

Published: 01 June 2007

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Cited By

Tlales KOtmani KNtoukas GRubio GFerrer E(2024)Machine learning mesh-adaptation for laminar and turbulent flows: applications to high-order discontinuous Galerkin solversEngineering with Computers10.1007/s00366-024-01950-y40:5(2947-2969)Online publication date: 15-Mar-2024
https://dl.acm.org/doi/10.1007/s00366-024-01950-y
Joachim JDaunais CBibeau VHeltai LBlais B(2023)A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixingJournal of Computational Physics10.1016/j.jcp.2023.112189488:COnline publication date: 1-Sep-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112189
Xu TChoi J(2023)Efficient monolithic immersed boundary projection method for incompressible flows with heat transferJournal of Computational Physics10.1016/j.jcp.2023.111929477:COnline publication date: 15-Mar-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.111929
Ruggirello KThomas JLove ERider WHeinstein M(2022)High fidelity coupling methods for blast response of thin shell structuresFinite Elements in Analysis and Design10.1016/j.finel.2022.103834212:COnline publication date: 1-Dec-2022
https://dl.acm.org/doi/10.1016/j.finel.2022.103834
Billo GBelliard MSagaut P(2021)A Finite Element Penalized Direct Forcing Immersed Boundary Method for infinitely thin obstacles in a dilatable flowComputers & Mathematics with Applications10.1016/j.camwa.2021.08.00599:C(292-304)Online publication date: 1-Oct-2021
https://dl.acm.org/doi/10.1016/j.camwa.2021.08.005
Jin PXie BXiao F(2019)Multi-moment finite volume method for incompressible flows on unstructured moving grids and its application to fluid-rigid body interactionsComputers and Structures10.1016/j.compstruc.2019.05.014221:C(91-110)Online publication date: 1-Sep-2019
https://dl.acm.org/doi/10.1016/j.compstruc.2019.05.014
Morency FBeaugendre H(2018)Parametric Studies of Flat Plate Trajectories Using VIC and PenalizationModelling and Simulation in Engineering10.1155/2018/96384302018Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.1155/2018/9638430
Liu YWang GYe Z(2018)Dynamic mode extrapolation to improve the efficiency of dual time stepping methodJournal of Computational Physics10.1016/j.jcp.2017.09.043352:C(190-212)Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.1016/j.jcp.2017.09.043
Lo DLee CLin I(2018)An efficient immersed boundary method for fluid flow simulations with moving boundariesApplied Mathematics and Computation10.1016/j.amc.2018.01.022328:C(312-337)Online publication date: 1-Jul-2018
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Schlanderer SWeymouth GSandberg R(2017)The boundary data immersion method for compressible flows with application to aeroacousticsJournal of Computational Physics10.1016/j.jcp.2016.12.050333:C(440-461)Online publication date: 15-Mar-2017
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