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

5 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.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
EditorsG. Stefanou, V. Papadopoulos, V. Plevris, M. Papadrakakis
PublisherNational Technical University of Athens
Pages684-708
Number of pages25
ISBN (Electronic)9786188284401
DOIs
Publication statusPublished - 1 Jan 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Publication series

NameECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Volume1

Other

Other7th 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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    Tsoutsanis, P., & Drikakis, D. (2016). Addressing the challenges of implementation of high-order finite-volume schemes for atmospheric dynamics on unstructured meshes. In G. Stefanou, V. Papadopoulos, V. Plevris, & M. Papadrakakis (Eds.), ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (pp. 684-708). (ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering; Vol. 1). National Technical University of Athens. https://doi.org/10.7712/100016.1846.8406