0
REVIEW ARTICLES

Immersed boundary technique for turbulent flow simulations

[+] Author and Article Information
Gianluca Iaccarino

Center for Turbulence Research, Stanford University, CA 94305-3030; jops@ctr.stanford.edu

Roberto Verzicco

DIMeG and CEMeC, Politecnico di Bari, Via Re David, 200, 70125, Bari, Italy; verzicco@poliba.it

Appl. Mech. Rev 56(3), 331-347 (May 02, 2003) (17 pages) doi:10.1115/1.1563627 History: Online May 02, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Vieceli  JA (1969), A method for including arbitrary external boundaries in the MAC incompressible fluid computing technique, J. Comput. Phys. 4, 543–551.
Welch JE, Harlow FH, Shannon JP, and Daly BJ (1966), A computing technique for solving viscous incompressible transient fluid flow problems involving free-surfaces, Report LA-3425, Los Alamos Scientific Lab.
Harlow  FH and Welch  JE (1965), Numerical calculation of time-dependent viscous incompressible flows of fluid with free surface, Phys. Fluids 8, 2182.
Vieceli  JA (1971), A computing method for incompressible flows bounded by moving walls, J. Comput. Phys. 8, 119–143.
Peskin CS (1972), Flow patterns around heart valves: A digital computer method for solving the equations of motion, PhD thesis, Physiology, Albert Einstein College of Medicine, Univ Microfilms 72–30, 378.
Peskin  CS (1977), Numerical analysis of blood flow in the heart, J. Comput. Phys. 25, 220–252.
Peskin  CS (1982), The fluid dynamics of heart valves: Experimental, theoretical and computational methods, Annu. Rev. Fluid Mech. 14, 235.
Peskin  CS and McQueen  DM (1989), A three-dimensional computational method for blood flow in the heart: (I) immersed elastic fibers in a viscous incompressible fluid, J. Comput. Phys. 81, 372–405.
McQueen  DM and Peskin  CS (1989), A three-dimensional computational method for blood flow in the heart: (II) contractile fibers, J. Comput. Phys. 82, 289–297.
Basdevant C and Sadourny R (1984), Numerical solution of incompressible flow: the mask method, Lab di Meteorologie Dynamique, Ecole Normale Superieure, Paris (unpublished).
Briscolini  M and Santangelo  P (1989), Development of the mask method for incompressible unsteady flows, J. Comput. Phys. 84, 57–75.
Goldstein  D, Handler  R, and Sirovich  L (1993), Modeling no-slip flow boundary with an external force field, J. Comput. Phys. 105, 354–366.
Saiki  EM and Biringen  S (1996), Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method, J. Comput. Phys. 123, 450.
LeVeque RJ and Calhoun D (1999), Cartesian grid methods for fluid flow in complex geometries, Computational Modeling in Biological Fluid Dynamics, LJ Fauci and S Gueron (eds) IMA Volumes in Mathematics and its Applications, 124 , 117–143.
Lai  MC and Peskin  CS (2000), An immersed boundary method with formal second-order accuracy and reduced numerical viscosity, J. Comput. Phys. 160, 705–719.
Mohd-Yosuf J (1997), Combined immersed-boundary/B-spline methods for simulations of flow in complex geometries, Annual Research Briefs, Center for Turbulence Research, 317–328.
Fadlun  EA, Verzicco  R, Orlandi  P, and Mohd-Yusof  J (2000), Combined immersed-boundary/finite-difference methods for three-dimensional complex flow simulations, J. Comput. Phys. 161, 35–60.
Verzicco  R, Mohd-Yusof  J, Orlandi  P, and Haworth  D (2000), LES in complex geometries using boundary body forces, AIAA J. 38, 427–433.
Khadra K, Parneix S, Angot P, and Caltagirone JP (1995), Fictitious domain approach for numerical modeling of Navier-Stokes equations, 4th Int Conf on Navier-Stokes Equations and Related Nonlinear Problem.
Khadra  K, Angot  P, Parneix  S, and Caltagirone  JP (2000), Fictitious domain approach for numerical modelling of Navier-Stokes equations, Int. J. Numer. Methods Fluids 34, 651–684.
Angot  P, Bruneau  CH, and Frabrie  P (1999), A penalization method to take into account obstacles in viscous flows, Numerische Mathematik81, 497–520.
Kevlahan  N and Ghidaglia  JM (2001), Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization, Eur. J. Mech. B/Fluids 20, 333–350.
Berger M and Aftosmis M (1998), Aspects (and aspect ratios) of Cartesian mesh methods, 16th Int Conf on Numerical Methods in Fluid Dynamics.
Aftosmis MJ, Berger MJ, and Adomavicius G (2000), A parallel multilevel method for adaptively refined Cartesian grids with embedded boundaries, AIAA Paper 2000-0808.
Forrer H (1997), Boundary treatments for Cartesian-grid methods, PhD thesis, Swiss Federal Inst of Tech.
Ye  T, Mittal  R, Udaykumar  HS, and Shyy  W (1999), An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries, J. Comput. Phys. 156, 209–240.
Coirier WJ (1994), An adaptively-refined, Cartesian, cell-based scheme for the Euler and Navier-Stokes equations, NASA TM106754.
Almgren  AS, Bell  JB, Colella  P, and Marthaler  T (1997), A Cartesian grid projection method for the incompressible Euler equations in complex geometries, SIAM J. Sci. Comput. (USA) 18, 1289–1309.
Hirt  CW and Nichols  BD (1981), Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys., 39, 201–225.
Sethian JA (1996), Level Set Methods and Fast Marching Methods, Cambridge Univ Press.
Duchamp de Lageneste L and Pitsch H (2000), A level-set approach to large eddy simulation of premixed turbulent combustion, Ann Res Briefs-2000, Center for Turbulence Research, Stanford Univ, 105–116.
Germano  M, Piomelli  U, Moin  P, and Cabot  WH (1991), A dynamic subgrid-scale eddy viscosity model, Phys. Fluids A 3, 1760–1765.
Lilly  DK (1992), A proposed modification of the Germano subgrid-scale closure method, Phys. Fluids A 4, 633–635.
Smagorinsky  J (1963), General circulation experiments with primitive equations, Mon. Weather Rev. 91, 99–164.
Verzicco  R and Orlandi  P (1996), A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates, J. Comput. Phys. 123, 402.
Orlandi P (2000), Fluid Flow Phenomena: A Numerical Toolkit, Kluwer Acad Pub, 355.
Jones  WP, and Launder  BE (1972), The prediction of laminarization with a two-equation model of turbulence, Int. J. Heat Mass Transf. 15, 1–32.
Spalart  PR and Allmaras  SR (1994), A one-equation turbulence model for aerodynamic flows, La Recherche Aerospatiale,1, 1–23.
Majumdar S, Iaccarino G, and Durbin PA (2001), RANS solver with adaptive structured boundary non-conforming grids, Annual Research Briefs 2001, Center For Turbulence Research, 353.
Franke  R (1982), Scattered data interpolation: Tests of some methods, Math. Comput. 38, 181–200.
Tessicini F, Verzicco R, and Orlandi P (2001), Effetti della geometria dell’ugello sull’evoluzione di un getto libero, Atti delXV Congresso AIMETA, SP FL 20 , 2001 (see also Nozzle geometry effects in the near field of a round jet, Jets in Cross Flow, CISM, Udine, (2001) Cortelezzi and Karagozian (eds) Springer–Verlag).
O’Rourke J (1998), Computational Geometry in C, Cambridge University Press.
Aftosmis MJ, Delanaye M, and Haimes R (1999), Automatic generation of CFD-ready surface triangulations from CAD geometry, AIAA Paper 99–0776.
De Zeeuw  D and Powell  KG (1993), An adaptive Cartesian mesh method for the Euler equations, J. Comput. Phys. 104, 5668.
Pember  RJ, Bell  BJ, Colella  P, Crutchfield  WJ, and Welcome  ML(1995), An adaptive Cartesian grid method for unsteady compressible flow in irregular regions, J. Comput. Phys. 1120, 278–304.
Ferziger JH and Peric M (1999), Computational Methods for Fluid Dynamics, Springer-Verlag.
Durbin  PA and Iaccarino  G (2002), An approach for local grid refinement of structured grids, J. Comput. Phys. 181, 639–653.
Williamson  CHK (1996), Vortex dynamics in the cylinder wake, Annu. Rev. Fluid Mech. 28, 477.
Orlandi P, Leonardi S, Tessicini F and Verzicco R (2001), Scie tridimensionali generate da cilindri con e senza ondulazioni, Atti delXV Congresso AIMETA, SP FL 12 , Taormina, Italy.
Prasad  A and Williamson  CHK (1996), The instability of separated shear layer from a bluff body, Phys. Fluids 8, 1347.
Lourenco L and Shih C 2000, Characteristics of the plane turbulent near wake of a circular cylinder: A particle image velocimetry study (Unpublished results taken from 53).
Ong  L and Wallace  J (1996), The velocity field of a turbulent very near wake of a circular cylinder, Exp. Fluids 20, 441.
Kravchenko  A and Moin  P (2000), Numerical studies of flow over a circular cylinder at ReD=3900,Phys. Fluids 12, 403–417.
Breuer M (1997), Numerical modeling influences on large eddy simulations for the flow past a circular cylinder, Proc of 11th Symp on Turbulent Shear Flows, Grenoble, France, 26:7–26:12.
Tessicini F (2002), Large eddy simulation of the flow around a circular cylinder using an immersed boundary method, Paper in preparation, (personal communication).
Leonardi S and Orlandi P (2001) DNS of turbulent flows in a channel with roughness, Proc of Dles4, Univ of Twente Enschede, Netherlands, 181–189.
Kuzan JD (1986), Velocity measurements for turbulent separated and near-separated flows over solid waves, PhD thesis, Dept of Chem Eng, Univ of Illinois, Urbana IL.
Rogers  S and Kwak  D (1990), Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations, AIAA J. 28(2), 253–262.
Morse AP, Whitelaw JH, and Yianneskis M (1978) Turbulent flow measurements by laser doppler anemometry in a motored reciprocating engine, Report FS/78/24, Imperial College, Dept of Mesh Eng.
Haworth DC and Jansen K (1997), Large-eddy simulation on unstructured deforming meshes: Towards reciprocating IC engines, Comput. Fluids (submitted).
Dong  L, Johansen  ST, and Engh  TA (1994), Flow induced by an impeller in an unbaffled tank-I. experimental, Chem. Eng. Sci. 49(4), 549.
Verzicco R, Iaccarino G, Fatica M, and Orlandi P (2000), Flow in an impeller stirred tank using an immersed boundary technique, Annual Research Briefs 2000, Center For Turbulence Research, 251 (submitted to AIChE J).
Khalighi B, Zhang S, Koromilas C, Balkanyi SR, Bernal LP, Iaccarino G, and Moin P (2001), Experimental and computational study of unsteady wake flow behind a bluff body with a drag reduction device, SAE Paper, 2001-01B-207.
Verzicco  R, Fatica  M, Iaccarino  G, Moin  P, and Khalighi  B (2002), Large eddy simulation of a road-vehicle with drag reduction devices, AIAA J 40(12), 2447–2455.
Balaras E and Benocci C (1994), Subgrid-scale models in finite-difference simulations in complex wall bounded flows, AGARDCP 551 , 2.1.
Balaras  E, Benocci  C, and Piomelli  U (1996), Two-layer approximate boundary conditions for large-eddy simulations, AIAA J. 34, 1111–1119.
Cabot WH (1995), Large-eddy simulation with wall models, Ann Res Briefs-1995, Center for Turbulence Research, Stanford Univ, 41–50.
Cabot  WH, and Moin  P (1999), Approximate wall boundary conditions in the large-eddy simulation of high Reynolds number flows, Flow, Turbul. Combust. 63, 269–291.
Wang  M and Moin  P (2002), Dynamic wall modeling for LES of complex turbulent flows, Phys. Fluids. 14(7), 2043–2051.
Wang  M, and Moin  P (2000), Computation of trailing-edge flow and noise using large-eddy simulation, AIAA J. 38, 2201–2209.

Figures

Grahic Jump Location
STL model of a Porsche 911 and computed pressure distribution on the surface at Reynolds number of 100,000
Grahic Jump Location
Mean (left) and rms (right) cross-stream profiles of streamwise velocity in the wake of the cylinder. Sections are sampled at 1.06, 1.54, and 2.02 cylinder diameters downstream. The symbols are the results by Kravchenko and Moin 52, –dns on a 49×129×193 grid, [[dashed_line]]les with a dynamic SGS model on a 49×129×193 grid.
Grahic Jump Location
Sketch of the wavy channel problem with the location of the measured velocity profiles
Grahic Jump Location
Computational grids for the wavy channel RANS simulations: a) body fitted grid, b) Cartesian mesh, and c) locally refined Cartesian mesh
Grahic Jump Location
Streamwise velocity component at Re=8000 (dashed line represent negative values): a) body fitted grid, b) Cartesian mesh, and c) locally refined Cartesian mesh
Grahic Jump Location
Streamwise velocity component profiles compared with the experimental data
Grahic Jump Location
Contour plots of azimuthal vorticity and velocity vectors projected onto 2D cutting planes for a 3D case with azimuthal perturbation at Re=2,000, 65×65×151 (θ×r×z) grid, dynamic Smagorinsky subgrid-scale turbulence model. Vorticity scale solid lines (–) indicate positive values, dotted lines ([[dotted_line]]) indicate negative values, and the increment between adjacent isocontours is Δω=±2.5V̄p/b:a) t=π/2, azimuthal vorticity; b) t=π/2, projected velocity vectors, meridional plane; c) t=π/2, projected velocity vectors, 15 mm below the head; d) t=π, azimuthal vorticity; e) t=π, projected velocity vectors, meridional plane; and f) t=π, projected velocity vectors, 15 mm below the head.
Grahic Jump Location
Radial profiles of averaged axial velocity components at different locations in the cylinder. Symbols: Experiments 58, Solid Line: LES simulation; Dashed line: RANS simulations
Grahic Jump Location
Tank configuration and computational grid in a meridional plane (only one every six grid-points are shown)
Grahic Jump Location
Contour plots of azimuthally averaged velocity vectors: a), instantaneous velocity magnitude, b) and turbulent kinetic energy, c) in a meridional plane crossing a blade
Grahic Jump Location
Radial profiles of averaged velocity components in the middle of the tank. Symbols: Experiments 60, Solid line: Present LES; Dashed line: RANS simulations 61
Grahic Jump Location
Road-vehicle configuration and computational grid in the symmetry plane (only one every four grid-points are shown)
Grahic Jump Location
Streamwise velocity profiles in the wake for the square-back configuration. Symbols: Experiments 62; Dotted line: LES at Re=20,000; Solid line: LES at Re=100,000.
Grahic Jump Location
Flow patterns in the symmetry plane superimposed to contours of time-averaged streamwise velocity: Re=20,000 a) Baseline square-back geometry, b) Square-back with base plates, c) Boat-tail base
Grahic Jump Location
Cartesian mesh with local mesh refinement: dashed lines represent grid lines that are partially deleted
Grahic Jump Location
Example of the automatic grid refinement strategy for immersed boundaries: Computational grids (top), heavyside tagging function (middle), and numerical derivative of the tagging function (bottom); a to d represent successive levels of refinement
Grahic Jump Location
Flow simulation around the FPC letters at Reynolds number 10,000
Grahic Jump Location
Mean streamwise velocity on the center line of the wake of a circular cylinder at Re=3900: □ experimental results by Lourenco and Shih 50, ⋄ experimental results by Ong and Wallace 51, –dns on a 49×129×193 grid, [[dashed_line]]les with a dynamic SGS model on a 49×129×193 grid
Grahic Jump Location
Reconstruction stencils in the vicinity of the immersed boundary: a) Linear one-dimensional scheme, b) linear multi-dimensional scheme, and c) quadratic multi-dimensional scheme
Grahic Jump Location
STL model of a hammer-head shark and streamtraces of the computed flow field at Reynolds number of 1,000

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In