Prediction-correction legendre spectral scheme for incompressible fluid flow

He Li-ping; Mao De-kang; Guo Ben-yu

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 1, page 113-120
  • ISSN: 0764-583X

Abstract

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The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.

How to cite

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He Li-ping, Mao De-kang, and Guo Ben-yu. "Prediction-correction legendre spectral scheme for incompressible fluid flow." ESAIM: Mathematical Modelling and Numerical Analysis 33.1 (2010): 113-120. <http://eudml.org/doc/197449>.

@article{HeLi2010,
abstract = { The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach. },
author = {He Li-ping, Mao De-kang, Guo Ben-yu},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Incompressible fluid flow in stream function form; prediction-correction Legendre spectral scheme with high accuracy; convergence and numerical experiments.; initial-boundary value problem; second-order accuracy in time; higher order accuracy in space},
language = {eng},
month = {3},
number = {1},
pages = {113-120},
publisher = {EDP Sciences},
title = {Prediction-correction legendre spectral scheme for incompressible fluid flow},
url = {http://eudml.org/doc/197449},
volume = {33},
year = {2010},
}

TY - JOUR
AU - He Li-ping
AU - Mao De-kang
AU - Guo Ben-yu
TI - Prediction-correction legendre spectral scheme for incompressible fluid flow
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 1
SP - 113
EP - 120
AB - The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.
LA - eng
KW - Incompressible fluid flow in stream function form; prediction-correction Legendre spectral scheme with high accuracy; convergence and numerical experiments.; initial-boundary value problem; second-order accuracy in time; higher order accuracy in space
UR - http://eudml.org/doc/197449
ER -

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