Least-squares spectral element method applied to the Euler equation

M. Gerritsma; R. Bas, van der; B. De Maerschalck; B. Koren; H. Deconinck

doi:10.1002/fld.1756

Least-squares spectral element method applied to the Euler equation

M. Gerritsma, R. Bas, van der, B. De Maerschalck, B. Koren, H. Deconinck

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Abstract

This paper describes the application of the least-squares spectral element method to compressible flow problems. Special attention is paid to the imposition of the weak boundary conditions along curved walls and the influence of the time step on the position and resolution of shocks. The method is described and results are presented for a supersonic flow over a wedge and subsonic, transonic and supersonic flow problems over a bump.

Original language	English
Pages (from-to)	1371-1395
Journal	International Journal for Numerical Methods in Fluids
Volume	57
Issue number	9
DOIs	https://doi.org/10.1002/fld.1756
Publication status	Published - 2008

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10.1002/fld.1756

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title = "Least-squares spectral element method applied to the Euler equation",

abstract = "This paper describes the application of the least-squares spectral element method to compressible flow problems. Special attention is paid to the imposition of the weak boundary conditions along curved walls and the influence of the time step on the position and resolution of shocks. The method is described and results are presented for a supersonic flow over a wedge and subsonic, transonic and supersonic flow problems over a bump.",

author = "M. Gerritsma and {Bas, van der}, R. and {De Maerschalck}, B. and B. Koren and H. Deconinck",

year = "2008",

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AU - Gerritsma, M.

AU - Bas, van der, R.

AU - De Maerschalck, B.

AU - Koren, B.

AU - Deconinck, H.

PY - 2008

Y1 - 2008

N2 - This paper describes the application of the least-squares spectral element method to compressible flow problems. Special attention is paid to the imposition of the weak boundary conditions along curved walls and the influence of the time step on the position and resolution of shocks. The method is described and results are presented for a supersonic flow over a wedge and subsonic, transonic and supersonic flow problems over a bump.

AB - This paper describes the application of the least-squares spectral element method to compressible flow problems. Special attention is paid to the imposition of the weak boundary conditions along curved walls and the influence of the time step on the position and resolution of shocks. The method is described and results are presented for a supersonic flow over a wedge and subsonic, transonic and supersonic flow problems over a bump.

U2 - 10.1002/fld.1756

DO - 10.1002/fld.1756

M3 - Article

SN - 0271-2091

VL - 57

SP - 1371

EP - 1395

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 9

ER -

Least-squares spectral element method applied to the Euler equation

Abstract

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