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A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping / A. Lovrić; Wulf G. Dettmer; Chennakesava Kadapa; Djordje Perić

Computer Methods in Applied Mechanics and Engineering, Volume: 339, Pages: 160 - 183

Swansea University Author: Kadapa, Chennakesava

Abstract

A simple spatially discrete model problem consisting of mass points and dash-pots is presented which allows for the assessment of the properties of different projection schemes for the solution of the incompressible Navier–Stokes equations. In particular, the temporal accuracy, the stability and the...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa41047
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spelling 2018-10-03T11:48:12Z v2 41047 2018-07-18 A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping Chennakesava Kadapa Chennakesava Kadapa true 0000-0001-6092-9047 false de01927f8c2c4ad9dcc034c327ac8de1 a6b141f5c04b338bdb0a696c1670d0a6 DnKM+vZloTyKUEjfbZaeLdyvqZQRJmUl2lxhnzSZE7o= 2018-07-18 SCS A simple spatially discrete model problem consisting of mass points and dash-pots is presented which allows for the assessment of the properties of different projection schemes for the solution of the incompressible Navier–Stokes equations. In particular, the temporal accuracy, the stability and the numerical damping are investigated. The present study suggests that it is not possible to formulate a second order accurate projection/pressure-correction scheme which possesses any high-frequency damping. Motivated by this observation two new families of projection schemes are proposed which are developed from the generalised midpoint rule and from the generalised- method, respectively, and offer control over high-frequency damping. Both schemes are investigated in detail on the basis of the model problem and subsequently implemented in the context of a finite element formulation for the incompressible Navier–Stokes equations. Comprehensive numerical studies of the flow in a lid-driven cavity and the flow around a cylinder are presented. The observations made are in agreement with the conclusions drawn from the model problem. Journal article Computer Methods in Applied Mechanics and Engineering 339 160 183 00457825 1 9 2018 2018-09-01 10.1016/j.cma.2018.05.006 College of Science Computer Science CSCI SCS Computational Mechanics None 2018-10-03T11:48:12Z 2018-07-18T11:49:29Z College of Science Computer Science A. Lovrić 1 Wulf G. Dettmer 2 Chennakesava Kadapa 3 Djordje Perić 4 0041047-13082018124455.pdf 41047.pdf 2018-08-13T12:44:55Z Output 1562788 application/pdf AM true Updated Copyright 13/08/2018 2019-05-26T00:00:00 12 month embargo. true eng
title A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping
spellingShingle A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping
Kadapa, Chennakesava
title_short A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping
title_full A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping
title_fullStr A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping
title_full_unstemmed A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping
title_sort A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping
author_id_str_mv de01927f8c2c4ad9dcc034c327ac8de1
author_id_fullname_str_mv de01927f8c2c4ad9dcc034c327ac8de1_***_Kadapa, Chennakesava
author Kadapa, Chennakesava
author2 A. Lovrić
Wulf G. Dettmer
Chennakesava Kadapa
Djordje Perić
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 339
container_start_page 160
publishDate 2018
institution Swansea University
issn 00457825
doi_str_mv 10.1016/j.cma.2018.05.006
college_str College of Science
hierarchytype
hierarchy_top_id collegeofscience
hierarchy_top_title College of Science
hierarchy_parent_id collegeofscience
hierarchy_parent_title College of Science
department_str Computer Science{{{_:::_}}}College of Science{{{_:::_}}}Computer Science
document_store_str 1
active_str 1
researchgroup_str Computational Mechanics
description A simple spatially discrete model problem consisting of mass points and dash-pots is presented which allows for the assessment of the properties of different projection schemes for the solution of the incompressible Navier–Stokes equations. In particular, the temporal accuracy, the stability and the numerical damping are investigated. The present study suggests that it is not possible to formulate a second order accurate projection/pressure-correction scheme which possesses any high-frequency damping. Motivated by this observation two new families of projection schemes are proposed which are developed from the generalised midpoint rule and from the generalised- method, respectively, and offer control over high-frequency damping. Both schemes are investigated in detail on the basis of the model problem and subsequently implemented in the context of a finite element formulation for the incompressible Navier–Stokes equations. Comprehensive numerical studies of the flow in a lid-driven cavity and the flow around a cylinder are presented. The observations made are in agreement with the conclusions drawn from the model problem.
published_date 2018-09-01T05:05:51Z
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score 10.891415