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Volume 8, Issue 1
Stable Computing with an Enhanced Physics Based Scheme for the 3D Navier-Stokes Equations

M. A. Case, V. J. Ervin, A. Linke, L. G. Rebholz & N. E. Wilson

Int. J. Numer. Anal. Mod., 8 (2011), pp. 118-136.

Published online: 2011-08

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  • Abstract

We study extensions of the energy and helicity preserving scheme for the 3D Navier-Stokes equations, developed in [23], to a more general class of problems. The scheme is studied together with stabilizations of grad-div type in order to mitigate the effect of the Bernoulli pressure error on the velocity error. We prove stability, convergence, discuss conservation properties, and present numerical experiments that demonstrate the advantages of the scheme.

  • Keywords

Finite element method, discrete helicity conservation, grad-div stabilization.

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-8-118, author = {Case , M. A.Ervin , V. J.Linke , A.Rebholz , L. G. and Wilson , N. E.}, title = {Stable Computing with an Enhanced Physics Based Scheme for the 3D Navier-Stokes Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {1}, pages = {118--136}, abstract = {

We study extensions of the energy and helicity preserving scheme for the 3D Navier-Stokes equations, developed in [23], to a more general class of problems. The scheme is studied together with stabilizations of grad-div type in order to mitigate the effect of the Bernoulli pressure error on the velocity error. We prove stability, convergence, discuss conservation properties, and present numerical experiments that demonstrate the advantages of the scheme.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/677.html} }
TY - JOUR T1 - Stable Computing with an Enhanced Physics Based Scheme for the 3D Navier-Stokes Equations AU - Case , M. A. AU - Ervin , V. J. AU - Linke , A. AU - Rebholz , L. G. AU - Wilson , N. E. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 118 EP - 136 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/677.html KW - Finite element method, discrete helicity conservation, grad-div stabilization. AB -

We study extensions of the energy and helicity preserving scheme for the 3D Navier-Stokes equations, developed in [23], to a more general class of problems. The scheme is studied together with stabilizations of grad-div type in order to mitigate the effect of the Bernoulli pressure error on the velocity error. We prove stability, convergence, discuss conservation properties, and present numerical experiments that demonstrate the advantages of the scheme.

Case , M. A.Ervin , V. J.Linke , A.Rebholz , L. G. and Wilson , N. E.. (2011). Stable Computing with an Enhanced Physics Based Scheme for the 3D Navier-Stokes Equations. International Journal of Numerical Analysis and Modeling. 8 (1). 118-136. doi:
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