A semi-implicit scheme for the stabilized finite element method for the incompressible Navier-Stokes equations

Bart Janssens; Támas Bányai; Karim Limam; Walter Bosschaerts

A semi-implicit scheme for the stabilized finite element method for the incompressible Navier-Stokes equations

Bart Janssens, Támas Bányai, Karim Limam, Walter Bosschaerts

Fluid Dynamics

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Abstract

We apply a predictor-multicorrector scheme to thePressure Stabilized and Streamline Upwind Petrov-Galerkin (PSPG and SUPG) stabilized incompressible Navier-Stokes equations, solving separate systems for the velocity and pressure. The advective terms are treatedexplicitly. The algorithm is tested against the analytical solution for the Taylor-Green vortices case and shown to be of second order accuracy. We analyze the performance and compare with a fully coupled, implicit solution technique. The semi-implicit predictor-multicorrector scheme proves to be advantageous when small time steps are required due to the flow physics

Original language	English
Article number	3
Pages (from-to)	13-24
Number of pages	12
Journal	International Journal of Mechanics and Energy
Volume	3
Issue number	1
Publication status	Published - 2015

Keywords

Finite element method
Incompressible flow
predictor-corrector scheme

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IJME_2015_03_162040Licence: CC BY-ND

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title = "A semi-implicit scheme for the stabilized finite element method for the incompressible Navier-Stokes equations",

abstract = "We apply a predictor-multicorrector scheme to thePressure Stabilized and Streamline Upwind Petrov-Galerkin (PSPG and SUPG) stabilized incompressible Navier-Stokes equations, solving separate systems for the velocity and pressure. The advective terms are treatedexplicitly. The algorithm is tested against the analytical solution for the Taylor-Green vortices case and shown to be of second order accuracy. We analyze the performance and compare with a fully coupled, implicit solution technique. The semi-implicit predictor-multicorrector scheme proves to be advantageous when small time steps are required due to the flow physics",

keywords = "Finite element method, Incompressible flow, predictor-corrector scheme",

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language = "English",

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journal = "International Journal of Mechanics and Energy",

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T1 - A semi-implicit scheme for the stabilized finite element method for the incompressible Navier-Stokes equations

AU - Janssens, Bart

AU - Bányai, Támas

AU - Limam, Karim

AU - Bosschaerts, Walter

PY - 2015

Y1 - 2015

N2 - We apply a predictor-multicorrector scheme to thePressure Stabilized and Streamline Upwind Petrov-Galerkin (PSPG and SUPG) stabilized incompressible Navier-Stokes equations, solving separate systems for the velocity and pressure. The advective terms are treatedexplicitly. The algorithm is tested against the analytical solution for the Taylor-Green vortices case and shown to be of second order accuracy. We analyze the performance and compare with a fully coupled, implicit solution technique. The semi-implicit predictor-multicorrector scheme proves to be advantageous when small time steps are required due to the flow physics

AB - We apply a predictor-multicorrector scheme to thePressure Stabilized and Streamline Upwind Petrov-Galerkin (PSPG and SUPG) stabilized incompressible Navier-Stokes equations, solving separate systems for the velocity and pressure. The advective terms are treatedexplicitly. The algorithm is tested against the analytical solution for the Taylor-Green vortices case and shown to be of second order accuracy. We analyze the performance and compare with a fully coupled, implicit solution technique. The semi-implicit predictor-multicorrector scheme proves to be advantageous when small time steps are required due to the flow physics

KW - Finite element method

KW - Incompressible flow

KW - predictor-corrector scheme

UR - https://ijme.aicme.net/index.php?option_smdi=archivesdetail&id=11

M3 - Conference article

SN - 2286-5845

VL - 3

SP - 13

EP - 24

JO - International Journal of Mechanics and Energy

JF - International Journal of Mechanics and Energy

IS - 1

M1 - 3

ER -

A semi-implicit scheme for the stabilized finite element method for the incompressible Navier-Stokes equations

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