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

5 Citations (Scopus)
142 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 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.

Original 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

Keywords

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

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  • 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).