Spatial development of wakes using a spectral multi-domain method

M. Y. Forestier; R. Pasquetti; R. Peyret; C. Sabbah

doi:10.1016/S0168-9274(99)00085-9

Spatial development of wakes using a spectral multi-domain method

M. Y. Forestier
, R. Pasquetti
, R. Peyret
, C. Sabbah

Université de Nice

Research output: Contribution to journal › Conference article › peer-review

Abstract

A spectral Chebyshev method for the computation of wakes in stratified fluids is presented. It is based on a divergence-free multi-domain solver of the generalized Oseen problem which results from the discretization in time of the Navier-Stokes equations, when taking into account implicitly the part of the convective term associated with the mean flow velocity. Specific soft outflow boundary conditions are suggested, to get in the upstream direction a fast decay of the error induced by the truncation of the physical domain. Finally, numerical results are produced to point out the influence of a stable thermal stratification.

Original language	English
Pages (from-to)	207-216
Number of pages	10
Journal	Applied Numerical Mathematics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1016/S0168-9274(99)00085-9
Publication status	Published - 1 Jan 2000
Externally published	Yes
Event	The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998) - Herzliya, Isr Duration: 22 Jun 1998 → 26 Jun 1998

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10.1016/S0168-9274(99)00085-9

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title = "Spatial development of wakes using a spectral multi-domain method",

abstract = "A spectral Chebyshev method for the computation of wakes in stratified fluids is presented. It is based on a divergence-free multi-domain solver of the generalized Oseen problem which results from the discretization in time of the Navier-Stokes equations, when taking into account implicitly the part of the convective term associated with the mean flow velocity. Specific soft outflow boundary conditions are suggested, to get in the upstream direction a fast decay of the error induced by the truncation of the physical domain. Finally, numerical results are produced to point out the influence of a stable thermal stratification.",

author = "Forestier, \{M. Y.\} and R. Pasquetti and R. Peyret and C. Sabbah",

year = "2000",

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doi = "10.1016/S0168-9274(99)00085-9",

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pages = "207--216",

journal = "Applied Numerical Mathematics",

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note = "The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998) ; Conference date: 22-06-1998 Through 26-06-1998",

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TY - JOUR

T1 - Spatial development of wakes using a spectral multi-domain method

AU - Forestier, M. Y.

AU - Pasquetti, R.

AU - Peyret, R.

AU - Sabbah, C.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - A spectral Chebyshev method for the computation of wakes in stratified fluids is presented. It is based on a divergence-free multi-domain solver of the generalized Oseen problem which results from the discretization in time of the Navier-Stokes equations, when taking into account implicitly the part of the convective term associated with the mean flow velocity. Specific soft outflow boundary conditions are suggested, to get in the upstream direction a fast decay of the error induced by the truncation of the physical domain. Finally, numerical results are produced to point out the influence of a stable thermal stratification.

AB - A spectral Chebyshev method for the computation of wakes in stratified fluids is presented. It is based on a divergence-free multi-domain solver of the generalized Oseen problem which results from the discretization in time of the Navier-Stokes equations, when taking into account implicitly the part of the convective term associated with the mean flow velocity. Specific soft outflow boundary conditions are suggested, to get in the upstream direction a fast decay of the error induced by the truncation of the physical domain. Finally, numerical results are produced to point out the influence of a stable thermal stratification.

UR - https://www.scopus.com/pages/publications/0034190329

U2 - 10.1016/S0168-9274(99)00085-9

DO - 10.1016/S0168-9274(99)00085-9

M3 - Conference article

AN - SCOPUS:0034190329

SN - 0168-9274

VL - 33

SP - 207

EP - 216

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 1

T2 - The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998)

Y2 - 22 June 1998 through 26 June 1998

ER -

Spatial development of wakes using a spectral multi-domain method

Abstract

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