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   Articles with "grad div" as a keyword



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Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization

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recommendations! Published in 2021 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2020.10.021

Abstract: Abstract This paper presents the rotational form of the pressure-correction method with the modular grad-div stabilization for the non-stationary Stokes/Darcy model. The presented methods can improve not only the efficiency of calculation but also the… read more here.

Keywords: modular grad; div stabilization; pressure correction; correction method ... See more keywords

An efficient and modular grad–div stabilization

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recommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2018.02.023

Abstract: Abstract This paper presents two modular grad–div algorithms for calculating solutions to the Navier–Stokes equations (NSE). These algorithms add to an NSE code a minimally intrusive module that implements grad–div stabilization. The algorithms do not… read more here.

Keywords: grad div; modular grad; div stabilization;

The analogue of grad–div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes

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recommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2018.07.019

Abstract: Abstract grad–div stabilization is a classical remedy in conforming mixed finite element methods for incompressible flow problems, for mitigating velocity errors that are sometimes called poor mass conservation. Such errors arise due to the relaxation… read more here.

Keywords: grad div; analogue grad; div stabilization; methods incompressible ... See more keywords
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On the determination of the grad-div criterion

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.07.040

Abstract: Grad-div stabilization, adding a term -gamma grad div u, has proven to be a useful tool in the simulation of incompressible flows. Such a term requires a choice of the coefficient gamma and studies have… read more here.

Keywords: grad div; div criterion; determination grad; grad ... See more keywords

Anderson acceleration of Picard/Newton iteration based on grad-div stabilization for the Smagorinsky model

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recommendations! Published in 2025 at "Physics of Fluids"

DOI: 10.1063/5.0248671

Abstract: In this paper, we consider Anderson acceleration of one- and two-level Picard/Newton iterations based on the grad-div stabilization for the stationary Smagorinsky model at high Reynolds number. First, based on the grad-div stabilization, we propose… read more here.

Keywords: iteration; grad div; anderson acceleration; div stabilization ... See more keywords

A Modular Grad-Div Stabilization Method for Time-Dependent Thermally Coupled MHD Equations

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recommendations! Published in 2022 at "Entropy"

DOI: 10.3390/e24101336

Abstract: In this paper, we consider a fully discrete modular grad-div stabilization algorithm for time-dependent thermally coupled magnetohydrodynamic (MHD) equations. The main idea of the proposed algorithm is to add an extra minimally intrusive module to… read more here.

Keywords: modular grad; div stabilization; grad div;