Pseudospectral element model for free surface viscous flows

M. J. Chern; A. G.L. Borthwick; Taylor R Eatock

doi:10.1108/09615530510601440

Pseudospectral element model for free surface viscous flows

M. J. Chern^*, A. G.L. Borthwick, Taylor R Eatock

^*Corresponding author for this work

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

PurposeThe research is directed at development of an efficient and accurate technique for modelling incompressible free surface flows in which viscous effects may not be neglected. The paper describes the methodology, and gives illustrative results for simple geometries.Design/methodology/approachThe pseudospectral matrix element method of discretisation is selected as the basis for the CFD technique adopted, because of its high spectral accuracy. It is implemented as a means of solving the Navier‐Stokes equations coupled with the modified compressibility method.FindingsThe viscous solver has been validated for the benchmark cases of uniform flow past a cylinder at a Reynolds number of 40, and 2D cavity flows. Results for sloshing of a viscous fluid in a tank have been successfully compared with those from a linearised analytical solution. Application of the method is illustrated by the results for the interaction of an impulsive wave with a surface piercing circular cylinder in a cylindrical tank.Research limitations/implicationsThe paper demonstrates the viability of the approach adopted. The limitation of small amplitude waves should be tackled in future work.Practical implicationsThe results will have particular significance in the context of validating computations from more complex schemes applicable to arbitrary geometries.Originality/valueThe new methodology and results are of interest to the community of those developing numerical models of flow past marine structures.

Original language	English
Pages (from-to)	517-554
Number of pages	0
Journal	International Journal of Numerical Methods for Heat & Fluid Flow
Volume	15
Issue number	6
DOIs	https://doi.org/10.1108/09615530510601440
Publication status	Published - 1 Sept 2005

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title = "Pseudospectral element model for free surface viscous flows",

abstract = "PurposeThe research is directed at development of an efficient and accurate technique for modelling incompressible free surface flows in which viscous effects may not be neglected. The paper describes the methodology, and gives illustrative results for simple geometries.Design/methodology/approachThe pseudospectral matrix element method of discretisation is selected as the basis for the CFD technique adopted, because of its high spectral accuracy. It is implemented as a means of solving the Navier‐Stokes equations coupled with the modified compressibility method.FindingsThe viscous solver has been validated for the benchmark cases of uniform flow past a cylinder at a Reynolds number of 40, and 2D cavity flows. Results for sloshing of a viscous fluid in a tank have been successfully compared with those from a linearised analytical solution. Application of the method is illustrated by the results for the interaction of an impulsive wave with a surface piercing circular cylinder in a cylindrical tank.Research limitations/implicationsThe paper demonstrates the viability of the approach adopted. The limitation of small amplitude waves should be tackled in future work.Practical implicationsThe results will have particular significance in the context of validating computations from more complex schemes applicable to arbitrary geometries.Originality/valueThe new methodology and results are of interest to the community of those developing numerical models of flow past marine structures.",

author = "Chern, {M. J.} and Borthwick, {A. G.L.} and Eatock, {Taylor R}",

year = "2005",

month = sep,

day = "1",

doi = "10.1108/09615530510601440",

language = "English",

volume = "15",

pages = "517--554",

journal = "International Journal of Numerical Methods for Heat & Fluid Flow",

issn = "0961-5539",

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T1 - Pseudospectral element model for free surface viscous flows

AU - Chern, M. J.

AU - Borthwick, A. G.L.

AU - Eatock, Taylor R

PY - 2005/9/1

Y1 - 2005/9/1

N2 - PurposeThe research is directed at development of an efficient and accurate technique for modelling incompressible free surface flows in which viscous effects may not be neglected. The paper describes the methodology, and gives illustrative results for simple geometries.Design/methodology/approachThe pseudospectral matrix element method of discretisation is selected as the basis for the CFD technique adopted, because of its high spectral accuracy. It is implemented as a means of solving the Navier‐Stokes equations coupled with the modified compressibility method.FindingsThe viscous solver has been validated for the benchmark cases of uniform flow past a cylinder at a Reynolds number of 40, and 2D cavity flows. Results for sloshing of a viscous fluid in a tank have been successfully compared with those from a linearised analytical solution. Application of the method is illustrated by the results for the interaction of an impulsive wave with a surface piercing circular cylinder in a cylindrical tank.Research limitations/implicationsThe paper demonstrates the viability of the approach adopted. The limitation of small amplitude waves should be tackled in future work.Practical implicationsThe results will have particular significance in the context of validating computations from more complex schemes applicable to arbitrary geometries.Originality/valueThe new methodology and results are of interest to the community of those developing numerical models of flow past marine structures.

AB - PurposeThe research is directed at development of an efficient and accurate technique for modelling incompressible free surface flows in which viscous effects may not be neglected. The paper describes the methodology, and gives illustrative results for simple geometries.Design/methodology/approachThe pseudospectral matrix element method of discretisation is selected as the basis for the CFD technique adopted, because of its high spectral accuracy. It is implemented as a means of solving the Navier‐Stokes equations coupled with the modified compressibility method.FindingsThe viscous solver has been validated for the benchmark cases of uniform flow past a cylinder at a Reynolds number of 40, and 2D cavity flows. Results for sloshing of a viscous fluid in a tank have been successfully compared with those from a linearised analytical solution. Application of the method is illustrated by the results for the interaction of an impulsive wave with a surface piercing circular cylinder in a cylindrical tank.Research limitations/implicationsThe paper demonstrates the viability of the approach adopted. The limitation of small amplitude waves should be tackled in future work.Practical implicationsThe results will have particular significance in the context of validating computations from more complex schemes applicable to arbitrary geometries.Originality/valueThe new methodology and results are of interest to the community of those developing numerical models of flow past marine structures.

U2 - 10.1108/09615530510601440

DO - 10.1108/09615530510601440

M3 - Article

SN - 0961-5539

VL - 15

SP - 517

EP - 554

JO - International Journal of Numerical Methods for Heat & Fluid Flow

JF - International Journal of Numerical Methods for Heat & Fluid Flow

IS - 6

ER -

Pseudospectral element model for free surface viscous flows

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