Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes

Panagiotis Tsoutsanis; Dimitris Drikakis

Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes

Panagiotis Tsoutsanis, Dimitris Drikakis

Faculty Of Engineering

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

17 Citations (Scopus)

168 Downloads (Pure)

Abstract

The solution of the non-hydrostatic compressible Euler equations using Weighted Essentially Non-Oscillatory (WENO) schemes in two and three-dimensional unstructured meshes, is presented. Their key characteristics are their simplicity; accuracy; robustness; non-oscillatory properties; versatility in handling any type of grid topology; computational and parallel efficiency. Their defining characteristic is a non-linear combination of a series of high-order reconstruction polynomials arising from a series of reconstruction stencils. In the present study an explicit TVD Runge-Kutta 3^rd-order method is employed due to its lower computational resources requirement compared to implicit type time advancement methods. The WENO schemes (up to 5^th-order) are applied to the two dimensional and three dimensional test cases: a 2D rising thermal bubble. The scalability and efficiency of the schemes is also investigated.

Original language	English
Title of host publication	ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Editors	M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris
Place of Publication	Athens
Pages	684-708
Number of pages	25
Volume	1
ISBN (Electronic)	9786188284401
Publication status	Published - 5 Jun 2016
Event	7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece Duration: 5 Jun 2016 → 10 Jun 2016

Conference

Conference	7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
Country/Territory	Greece
City	Crete
Period	5/06/16 → 10/06/16

Keywords

non-hydrostatic
rising bubble
unstructured meshes
WENO

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Tsoutsanis-Drikakis-ECCOMAS-2016-Addressing-the-challenges-of-implementation-of-high-order-finiteAccepted author manuscript, 8.95 MB

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Tsoutsanis, P., & Drikakis, D. (2016). Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes. In M. Papadrakakis, V. Papadopoulos, G. Stefanou, & V. Plevris (Eds.), ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (Vol. 1, pp. 684-708).

Tsoutsanis, Panagiotis ; Drikakis, Dimitris. / Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes. ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. editor / M. Papadrakakis ; V. Papadopoulos ; G. Stefanou ; V. Plevris. Vol. 1 Athens, 2016. pp. 684-708

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title = "Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes",

abstract = "The solution of the non-hydrostatic compressible Euler equations using Weighted Essentially Non-Oscillatory (WENO) schemes in two and three-dimensional unstructured meshes, is presented. Their key characteristics are their simplicity; accuracy; robustness; non-oscillatory properties; versatility in handling any type of grid topology; computational and parallel efficiency. Their defining characteristic is a non-linear combination of a series of high-order reconstruction polynomials arising from a series of reconstruction stencils. In the present study an explicit TVD Runge-Kutta 3rd-order method is employed due to its lower computational resources requirement compared to implicit type time advancement methods. The WENO schemes (up to 5th-order) are applied to the two dimensional and three dimensional test cases: a 2D rising thermal bubble. The scalability and efficiency of the schemes is also investigated.",

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author = "Panagiotis Tsoutsanis and Dimitris Drikakis",

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pages = "684--708",

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booktitle = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",

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Tsoutsanis, P & Drikakis, D 2016, Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes. in M Papadrakakis, V Papadopoulos, G Stefanou & V Plevris (eds), ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. vol. 1, Athens, pp. 684-708, 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016, Crete, Greece, 5/06/16.

Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes. / Tsoutsanis, Panagiotis; Drikakis, Dimitris.
ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. ed. / M. Papadrakakis; V. Papadopoulos; G. Stefanou; V. Plevris. Vol. 1 Athens, 2016. p. 684-708.

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

TY - GEN

T1 - Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes

AU - Tsoutsanis, Panagiotis

AU - Drikakis, Dimitris

PY - 2016/6/5

Y1 - 2016/6/5

N2 - The solution of the non-hydrostatic compressible Euler equations using Weighted Essentially Non-Oscillatory (WENO) schemes in two and three-dimensional unstructured meshes, is presented. Their key characteristics are their simplicity; accuracy; robustness; non-oscillatory properties; versatility in handling any type of grid topology; computational and parallel efficiency. Their defining characteristic is a non-linear combination of a series of high-order reconstruction polynomials arising from a series of reconstruction stencils. In the present study an explicit TVD Runge-Kutta 3rd-order method is employed due to its lower computational resources requirement compared to implicit type time advancement methods. The WENO schemes (up to 5th-order) are applied to the two dimensional and three dimensional test cases: a 2D rising thermal bubble. The scalability and efficiency of the schemes is also investigated.

AB - The solution of the non-hydrostatic compressible Euler equations using Weighted Essentially Non-Oscillatory (WENO) schemes in two and three-dimensional unstructured meshes, is presented. Their key characteristics are their simplicity; accuracy; robustness; non-oscillatory properties; versatility in handling any type of grid topology; computational and parallel efficiency. Their defining characteristic is a non-linear combination of a series of high-order reconstruction polynomials arising from a series of reconstruction stencils. In the present study an explicit TVD Runge-Kutta 3rd-order method is employed due to its lower computational resources requirement compared to implicit type time advancement methods. The WENO schemes (up to 5th-order) are applied to the two dimensional and three dimensional test cases: a 2D rising thermal bubble. The scalability and efficiency of the schemes is also investigated.

KW - non-hydrostatic

KW - rising bubble

KW - unstructured meshes

KW - WENO

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UR - https://www.eccomas2016.org/

M3 - Conference contribution book

AN - SCOPUS:84995518929

VL - 1

SP - 684

EP - 708

BT - ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering

A2 - Papadrakakis, M.

A2 - Papadopoulos, V.

A2 - Stefanou, G.

A2 - Plevris, V.

CY - Athens

T2 - 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016

Y2 - 5 June 2016 through 10 June 2016

ER -

Tsoutsanis P, Drikakis D. Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes. In Papadrakakis M, Papadopoulos V, Stefanou G, Plevris V, editors, ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 1. Athens. 2016. p. 684-708

Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes

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