High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation

N. C. Papanicolaou; A. C. Aristotelous

doi:10.1063/1.4934335

High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation

N. C. Papanicolaou
, A. C. Aristotelous

Department of Computer Science

Temple University

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

Abstract

In this work, we develop a High-Order Symmetric Interior Penalty (SIP) Discontinuous Galerkin (DG) Finite Element Method (FEM) to investigate convective flows in a rectangular cavity subject to both vertical and horizontal temperature gradients. The whole cavity is subject to gravity modulation (g-jitter), simulating a microgravity environment. The sensitivity of the bifurcation problem makes the use of a high-order accurate and efficient technique essential. Our method is validated by solving the plane-parallel flow problem and the results were found to be in good agreement with published results. The numerical method was designed to be easily extendable to even more complex flows.

Original language	English
Title of host publication	Application of Mathematics in Technical and Natural Sciences
Subtitle of host publication	7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015
Publisher	American Institute of Physics Inc.
Volume	1684
ISBN (Electronic)	9780735413313
DOIs	https://doi.org/10.1063/1.4934335
Publication status	Published - 28 Oct 2015
Event	7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015 - Albena, Bulgaria Duration: 28 Jun 2015 → 3 Jul 2015

Other

Other	7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015
Country/Territory	Bulgaria
City	Albena
Period	28/06/15 → 3/07/15

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10.1063/1.4934335

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Papanicolaou, N. C., & Aristotelous, A. C. (2015). High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation. In Application of Mathematics in Technical and Natural Sciences: 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015 (Vol. 1684). Article 090010 American Institute of Physics Inc.. https://doi.org/10.1063/1.4934335

Papanicolaou, N. C. ; Aristotelous, A. C. / High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation. Application of Mathematics in Technical and Natural Sciences: 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015. Vol. 1684 American Institute of Physics Inc., 2015.

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title = "High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation",

abstract = "In this work, we develop a High-Order Symmetric Interior Penalty (SIP) Discontinuous Galerkin (DG) Finite Element Method (FEM) to investigate convective flows in a rectangular cavity subject to both vertical and horizontal temperature gradients. The whole cavity is subject to gravity modulation (g-jitter), simulating a microgravity environment. The sensitivity of the bifurcation problem makes the use of a high-order accurate and efficient technique essential. Our method is validated by solving the plane-parallel flow problem and the results were found to be in good agreement with published results. The numerical method was designed to be easily extendable to even more complex flows.",

author = "Papanicolaou, \{N. C.\} and Aristotelous, \{A. C.\}",

year = "2015",

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language = "English",

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booktitle = "Application of Mathematics in Technical and Natural Sciences",

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Papanicolaou, NC & Aristotelous, AC 2015, High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation. in Application of Mathematics in Technical and Natural Sciences: 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015. vol. 1684, 090010, American Institute of Physics Inc., 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015, Albena, Bulgaria, 28/06/15. https://doi.org/10.1063/1.4934335

High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation. / Papanicolaou, N. C.; Aristotelous, A. C.
Application of Mathematics in Technical and Natural Sciences: 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015. Vol. 1684 American Institute of Physics Inc., 2015. 090010.

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

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T1 - High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation

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AU - Aristotelous, A. C.

PY - 2015/10/28

Y1 - 2015/10/28

N2 - In this work, we develop a High-Order Symmetric Interior Penalty (SIP) Discontinuous Galerkin (DG) Finite Element Method (FEM) to investigate convective flows in a rectangular cavity subject to both vertical and horizontal temperature gradients. The whole cavity is subject to gravity modulation (g-jitter), simulating a microgravity environment. The sensitivity of the bifurcation problem makes the use of a high-order accurate and efficient technique essential. Our method is validated by solving the plane-parallel flow problem and the results were found to be in good agreement with published results. The numerical method was designed to be easily extendable to even more complex flows.

AB - In this work, we develop a High-Order Symmetric Interior Penalty (SIP) Discontinuous Galerkin (DG) Finite Element Method (FEM) to investigate convective flows in a rectangular cavity subject to both vertical and horizontal temperature gradients. The whole cavity is subject to gravity modulation (g-jitter), simulating a microgravity environment. The sensitivity of the bifurcation problem makes the use of a high-order accurate and efficient technique essential. Our method is validated by solving the plane-parallel flow problem and the results were found to be in good agreement with published results. The numerical method was designed to be easily extendable to even more complex flows.

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DO - 10.1063/1.4934335

M3 - Conference contribution

AN - SCOPUS:84984578710

VL - 1684

BT - Application of Mathematics in Technical and Natural Sciences

PB - American Institute of Physics Inc.

T2 - 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015

Y2 - 28 June 2015 through 3 July 2015

ER -

Papanicolaou NC, Aristotelous AC. High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation. In Application of Mathematics in Technical and Natural Sciences: 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015. Vol. 1684. American Institute of Physics Inc. 2015. 090010 doi: 10.1063/1.4934335

High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation

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