Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh

R. Beltman; M.J.H. Anthonissen; B. Koren

doi:10.1007/978-3-319-57394-6_49

Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

A staggered discretization of the incompressible Navier–Stokes equations is presented for polyhedral non orthogonal nonsmooth meshes admitting a barycentric dual mesh. The discretization is constructed by using concepts of discrete exterior calculus. The method strictly conserves mass, momentum and energy in the absence of viscosity.

Original language	English
Title of host publication	Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems
Subtitle of host publication	FVCA 8, Lille, France, June 2017
Editors	C. Cances, P. Omnes
Place of Publication	Dordrecht
Publisher	Springer
Pages	467-475
Number of pages	9
Volume	200
ISBN (Print)	978-3-319-57394-6
DOIs	https://doi.org/10.1007/978-3-319-57394-6_49
Publication status	Published - 2017
Event	8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017) - Lille, France Duration: 12 Jun 2017 → 16 Jun 2017 Conference number: 8 https://indico.math.cnrs.fr/event/1299/overview https://indico.math.cnrs.fr/event/1299/overview

Publication series

Name	Springer Proceedings in Mathematics & Statistics
Volume	200

Conference

Conference	8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017)
Abbreviated title	FVCA 2017
Country/Territory	France
City	Lille
Period	12/06/17 → 16/06/17
Internet address	https://indico.math.cnrs.fr/event/1299/overview https://indico.math.cnrs.fr/event/1299/overview

Keywords

Barycentric dual mesh
Mimetic finite-volume discretizations

Access to Document

10.1007/978-3-319-57394-6_49

Cite this

Beltman, R., Anthonissen, M. J. H., & Koren, B. (2017). Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh. In C. Cances, & P. Omnes (Eds.), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017 (Vol. 200, pp. 467-475). (Springer Proceedings in Mathematics & Statistics ; Vol. 200). Springer. https://doi.org/10.1007/978-3-319-57394-6_49

Beltman, R. ; Anthonissen, M.J.H. ; Koren, B. / Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh. Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017. editor / C. Cances ; P. Omnes. Vol. 200 Dordrecht : Springer, 2017. pp. 467-475 (Springer Proceedings in Mathematics & Statistics ).

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abstract = "A staggered discretization of the incompressible Navier–Stokes equations is presented for polyhedral non orthogonal nonsmooth meshes admitting a barycentric dual mesh. The discretization is constructed by using concepts of discrete exterior calculus. The method strictly conserves mass, momentum and energy in the absence of viscosity.",

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Beltman, R, Anthonissen, MJH & Koren, B 2017, Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh. in C Cances & P Omnes (eds), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017. vol. 200, Springer Proceedings in Mathematics & Statistics , vol. 200, Springer, Dordrecht, pp. 467-475, 8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017), Lille, France, 12/06/17. https://doi.org/10.1007/978-3-319-57394-6_49

Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh. / Beltman, R.; Anthonissen, M.J.H.; Koren, B.
Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017. ed. / C. Cances; P. Omnes. Vol. 200 Dordrecht: Springer, 2017. p. 467-475 (Springer Proceedings in Mathematics & Statistics ; Vol. 200).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - A staggered discretization of the incompressible Navier–Stokes equations is presented for polyhedral non orthogonal nonsmooth meshes admitting a barycentric dual mesh. The discretization is constructed by using concepts of discrete exterior calculus. The method strictly conserves mass, momentum and energy in the absence of viscosity.

AB - A staggered discretization of the incompressible Navier–Stokes equations is presented for polyhedral non orthogonal nonsmooth meshes admitting a barycentric dual mesh. The discretization is constructed by using concepts of discrete exterior calculus. The method strictly conserves mass, momentum and energy in the absence of viscosity.

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KW - Mimetic finite-volume discretizations

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DO - 10.1007/978-3-319-57394-6_49

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BT - Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems

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Beltman R, Anthonissen MJH , Koren B. Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh. In Cances C, Omnes P, editors, Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017. Vol. 200. Dordrecht: Springer. 2017. p. 467-475. (Springer Proceedings in Mathematics & Statistics ). doi: 10.1007/978-3-319-57394-6_49

Mimetic staggered discretization of incompressible navier–Stokes for barycentric dual mesh

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