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

Panagiotis Tsoutsanis, Dimitris Drikakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

3 Citations (Scopus)

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.

LanguageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
EditorsM. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris
Place of PublicationAthens
Pages684-708
Number of pages25
Volume1
ISBN (Electronic)9786188284401
Publication statusPublished - 5 Jun 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
CountryGreece
CityCrete
Period5/06/1610/06/16

Fingerprint

High-order Schemes
Finite Volume Scheme
Unstructured Mesh
Euler equations
Scalability
Compressible Euler Equations
Three-dimensional
Series
Topology
Polynomials
Runge-Kutta
Bubble
Simplicity
Higher Order
Robustness
Grid
Resources
Polynomial
Requirements
Hot Temperature

Keywords

  • non-hydrostatic
  • rising bubble
  • unstructured meshes
  • WENO

Cite this

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). Athens.
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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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 proceedingConference contribution book

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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.

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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