On optimal interpolation schemes for particle tracking in turbulence

Onderzoeksoutput: Boek/rapportRapportAcademic

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Uittreksel

An important aspect in numerical simulations of particle-laden turbulent ¿ows is the interpolation of the ¿ow ¿eld needed for the computation of the Lagrangian trajectories. The accuracy of the interpolation method has direct consequences for the acceleration spectrum of the ¿uid particles and is therefore also important for the correct evaluation of the hydrodynamic forces for almost neutrally buoyant particles, common in many environmental applications. In order to systematically choose the optimal tradeo¿ between interpolation accuracy and computational cost we focuss on comparing errors: the interpolation error is compared with the discretisation error of the ¿ow ¿eld. In this way one can prevent unnecessary computations and still retain the accuracy of the turbulent ¿ow simulation. From the analysis a practical method is proposed that enables direct estimation of the interpolation and discretization error from the energy spectrum. The theory is validated by means of Direct Numerical Simulations (DNS) of homogeneous, isotropic turbulence using a spectral code, where the trajectories of ¿uid tracers are computed using several interpolation methods. We show that B-spline interpolation has the best accuracy given the computational cost. Finally, the optimal interpolation order for the di¿erent methods is shown as a function of the resolution of the DNS simulation.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's8
StatusGepubliceerd - 2012

Publicatie series

NaamCASA-report
Volume1240
ISSN van geprinte versie0926-4507

Vingerafdruk

interpolation
turbulence
direct numerical simulation
trajectories
costs
isotropic turbulence
simulation
splines
tracers
energy spectra
hydrodynamics
evaluation

Citeer dit

Hinsberg, van, M. A. T., Thije Boonkkamp, ten, J. H. M., Toschi, F., & Clercx, H. J. H. (2012). On optimal interpolation schemes for particle tracking in turbulence. (CASA-report; Vol. 1240). Eindhoven: Technische Universiteit Eindhoven.
Hinsberg, van, M.A.T. ; Thije Boonkkamp, ten, J.H.M. ; Toschi, F. ; Clercx, H.J.H. / On optimal interpolation schemes for particle tracking in turbulence. Eindhoven : Technische Universiteit Eindhoven, 2012. 8 blz. (CASA-report).
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title = "On optimal interpolation schemes for particle tracking in turbulence",
abstract = "An important aspect in numerical simulations of particle-laden turbulent ¿ows is the interpolation of the ¿ow ¿eld needed for the computation of the Lagrangian trajectories. The accuracy of the interpolation method has direct consequences for the acceleration spectrum of the ¿uid particles and is therefore also important for the correct evaluation of the hydrodynamic forces for almost neutrally buoyant particles, common in many environmental applications. In order to systematically choose the optimal tradeo¿ between interpolation accuracy and computational cost we focuss on comparing errors: the interpolation error is compared with the discretisation error of the ¿ow ¿eld. In this way one can prevent unnecessary computations and still retain the accuracy of the turbulent ¿ow simulation. From the analysis a practical method is proposed that enables direct estimation of the interpolation and discretization error from the energy spectrum. The theory is validated by means of Direct Numerical Simulations (DNS) of homogeneous, isotropic turbulence using a spectral code, where the trajectories of ¿uid tracers are computed using several interpolation methods. We show that B-spline interpolation has the best accuracy given the computational cost. Finally, the optimal interpolation order for the di¿erent methods is shown as a function of the resolution of the DNS simulation.",
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Hinsberg, van, MAT, Thije Boonkkamp, ten, JHM, Toschi, F & Clercx, HJH 2012, On optimal interpolation schemes for particle tracking in turbulence. CASA-report, vol. 1240, Technische Universiteit Eindhoven, Eindhoven.

On optimal interpolation schemes for particle tracking in turbulence. / Hinsberg, van, M.A.T.; Thije Boonkkamp, ten, J.H.M.; Toschi, F.; Clercx, H.J.H.

Eindhoven : Technische Universiteit Eindhoven, 2012. 8 blz. (CASA-report; Vol. 1240).

Onderzoeksoutput: Boek/rapportRapportAcademic

TY - BOOK

T1 - On optimal interpolation schemes for particle tracking in turbulence

AU - Hinsberg, van, M.A.T.

AU - Thije Boonkkamp, ten, J.H.M.

AU - Toschi, F.

AU - Clercx, H.J.H.

PY - 2012

Y1 - 2012

N2 - An important aspect in numerical simulations of particle-laden turbulent ¿ows is the interpolation of the ¿ow ¿eld needed for the computation of the Lagrangian trajectories. The accuracy of the interpolation method has direct consequences for the acceleration spectrum of the ¿uid particles and is therefore also important for the correct evaluation of the hydrodynamic forces for almost neutrally buoyant particles, common in many environmental applications. In order to systematically choose the optimal tradeo¿ between interpolation accuracy and computational cost we focuss on comparing errors: the interpolation error is compared with the discretisation error of the ¿ow ¿eld. In this way one can prevent unnecessary computations and still retain the accuracy of the turbulent ¿ow simulation. From the analysis a practical method is proposed that enables direct estimation of the interpolation and discretization error from the energy spectrum. The theory is validated by means of Direct Numerical Simulations (DNS) of homogeneous, isotropic turbulence using a spectral code, where the trajectories of ¿uid tracers are computed using several interpolation methods. We show that B-spline interpolation has the best accuracy given the computational cost. Finally, the optimal interpolation order for the di¿erent methods is shown as a function of the resolution of the DNS simulation.

AB - An important aspect in numerical simulations of particle-laden turbulent ¿ows is the interpolation of the ¿ow ¿eld needed for the computation of the Lagrangian trajectories. The accuracy of the interpolation method has direct consequences for the acceleration spectrum of the ¿uid particles and is therefore also important for the correct evaluation of the hydrodynamic forces for almost neutrally buoyant particles, common in many environmental applications. In order to systematically choose the optimal tradeo¿ between interpolation accuracy and computational cost we focuss on comparing errors: the interpolation error is compared with the discretisation error of the ¿ow ¿eld. In this way one can prevent unnecessary computations and still retain the accuracy of the turbulent ¿ow simulation. From the analysis a practical method is proposed that enables direct estimation of the interpolation and discretization error from the energy spectrum. The theory is validated by means of Direct Numerical Simulations (DNS) of homogeneous, isotropic turbulence using a spectral code, where the trajectories of ¿uid tracers are computed using several interpolation methods. We show that B-spline interpolation has the best accuracy given the computational cost. Finally, the optimal interpolation order for the di¿erent methods is shown as a function of the resolution of the DNS simulation.

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Hinsberg, van MAT, Thije Boonkkamp, ten JHM, Toschi F, Clercx HJH. On optimal interpolation schemes for particle tracking in turbulence. Eindhoven: Technische Universiteit Eindhoven, 2012. 8 blz. (CASA-report).