Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method

Yerlan Amanbek; Gurpreet Singh; Mary F. Wheeler

doi:10.1007/978-3-030-22747-0_38

Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method

Yerlan Amanbek, Gurpreet Singh, Mary F. Wheeler

Nazarbayev University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

Abstract

The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement. We consider Enhanced Velocity Mixed Finite Element Method (EVMFEM) for the incompressible Darcy flow. In this paper, our aim is to study the improvement of velocity at interface to achieve the better approximation of velocity between subdomains. We propose the reconstruction of velocity at interface by using the post-processed pressure. Numerical results at the interface show improvement on convergence rate.

Original language	English
Title of host publication	Computational Science – ICCS 2019 - 19th International Conference, Proceedings
Editors	João M.F. Rodrigues, Pedro J.S. Cardoso, Jânio Monteiro, Roberto Lam, Valeria V. Krzhizhanovskaya, Michael H. Lees, Peter M.A. Sloot, Jack J. Dongarra
Publisher	Springer Verlag
Pages	510-523
Number of pages	14
ISBN (Print)	9783030227463
DOIs	https://doi.org/10.1007/978-3-030-22747-0_38
Publication status	Published - Jan 1 2019
Event	19th International Conference on Computational Science, ICCS 2019 - Faro, Portugal Duration: Jun 12 2019 → Jun 14 2019

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11539 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	19th International Conference on Computational Science, ICCS 2019
Country/Territory	Portugal
City	Faro
Period	6/12/19 → 6/14/19

Keywords

Domain decomposition
Enhanced Velocity
Velocity improvement

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-030-22747-0_38

Cite this

Amanbek, Y., Singh, G., & Wheeler, M. F. (2019). Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method. In J. M. F. Rodrigues, P. J. S. Cardoso, J. Monteiro, R. Lam, V. V. Krzhizhanovskaya, M. H. Lees, P. M. A. Sloot, & J. J. Dongarra (Eds.), Computational Science – ICCS 2019 - 19th International Conference, Proceedings (pp. 510-523). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11539 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-22747-0_38

Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method. / Amanbek, Yerlan; Singh, Gurpreet; Wheeler, Mary F.
Computational Science – ICCS 2019 - 19th International Conference, Proceedings. ed. / João M.F. Rodrigues; Pedro J.S. Cardoso; Jânio Monteiro; Roberto Lam; Valeria V. Krzhizhanovskaya; Michael H. Lees; Peter M.A. Sloot; Jack J. Dongarra. Springer Verlag, 2019. p. 510-523 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11539 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Amanbek, Y, Singh, G & Wheeler, MF 2019, Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method. in JMF Rodrigues, PJS Cardoso, J Monteiro, R Lam, VV Krzhizhanovskaya, MH Lees, PMA Sloot & JJ Dongarra (eds), Computational Science – ICCS 2019 - 19th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11539 LNCS, Springer Verlag, pp. 510-523, 19th International Conference on Computational Science, ICCS 2019, Faro, Portugal, 6/12/19. https://doi.org/10.1007/978-3-030-22747-0_38

Amanbek Y, Singh G, Wheeler MF. Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method. In Rodrigues JMF, Cardoso PJS, Monteiro J, Lam R, Krzhizhanovskaya VV, Lees MH, Sloot PMA, Dongarra JJ, editors, Computational Science – ICCS 2019 - 19th International Conference, Proceedings. Springer Verlag. 2019. p. 510-523. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-22747-0_38

Amanbek, Yerlan ; Singh, Gurpreet ; Wheeler, Mary F. / Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method. Computational Science – ICCS 2019 - 19th International Conference, Proceedings. editor / João M.F. Rodrigues ; Pedro J.S. Cardoso ; Jânio Monteiro ; Roberto Lam ; Valeria V. Krzhizhanovskaya ; Michael H. Lees ; Peter M.A. Sloot ; Jack J. Dongarra. Springer Verlag, 2019. pp. 510-523 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement. We consider Enhanced Velocity Mixed Finite Element Method (EVMFEM) for the incompressible Darcy flow. In this paper, our aim is to study the improvement of velocity at interface to achieve the better approximation of velocity between subdomains. We propose the reconstruction of velocity at interface by using the post-processed pressure. Numerical results at the interface show improvement on convergence rate.",

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note = "Funding Information: Acknowledgments. First author would like to thank Drs. I. Yotov and T. Arbo-gast for discussions on formulation of the different view of EVMFEM. This research is supported by Faculty Development Competitive Research Grant (Grant No. 110119FD4502), Nazarbayev University. Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.; 19th International Conference on Computational Science, ICCS 2019 ; Conference date: 12-06-2019 Through 14-06-2019",

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N2 - The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement. We consider Enhanced Velocity Mixed Finite Element Method (EVMFEM) for the incompressible Darcy flow. In this paper, our aim is to study the improvement of velocity at interface to achieve the better approximation of velocity between subdomains. We propose the reconstruction of velocity at interface by using the post-processed pressure. Numerical results at the interface show improvement on convergence rate.

AB - The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement. We consider Enhanced Velocity Mixed Finite Element Method (EVMFEM) for the incompressible Darcy flow. In this paper, our aim is to study the improvement of velocity at interface to achieve the better approximation of velocity between subdomains. We propose the reconstruction of velocity at interface by using the post-processed pressure. Numerical results at the interface show improvement on convergence rate.

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Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method

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