Stencil selection algorithms for WENO schemes on unstructured meshes

Show simple item record Tsoutsanis, Panagiotis 2019-09-30T10:01:12Z 2019-09-30T10:01:12Z 2019-08-30
dc.identifier.citation Tsoutsanis P. (2019) Stencil selection algorithms for WENO schemes on unstructured meshes. Journal of Computational Physics: X, Volume 4, September 2019, Article number 100037 en_UK
dc.identifier.issn 2590-0552
dc.description.abstract In this paper, a family of stencil selection algorithms is presented for WENO schemes on unstructured meshes. The associated freedom of stencil selection for unstructured meshes, in the context of WENO schemes present a plethora of various stencil selection algorithms. The particular focus of this paper is to assess the performance of various stencil selection algorithm, investigate the parameters that dictate their robustness, accuracy and computational efficiency. Ultimately, efficient and robust stencils are pursued that can provide significant savings in computational performance, while retaining the non-oscillatory character of WENO schemes. This is achieved when making the stencil selection algorithms adaptive, based on the quality of the cells for unstructured meshes, that can in turn reduce the computational cost of WENO schemes. For assessing the performance of the developed algorithms well established test problems are employed. These include the least square approximation of polynomial functions, linear advection equation of smooth functions and solid body rotation test problem. Euler and Navier-Stokes equations test problems are also pursued such as the Shu-Osher test problem, the Double Mach Reflection, the supersonic Forward Facing step, the Kelvin-Helmholtz instability, the Taylor-Green Vortex, and the flow past a transonic circular cylinder. en_UK
dc.language.iso en en_UK
dc.publisher Elsevier en_UK
dc.rights Attribution 4.0 International *
dc.rights.uri *
dc.subject WENO en_UK
dc.subject Stencils en_UK
dc.subject Finite-volume en_UK
dc.subject Least-squares en_UK
dc.title Stencil selection algorithms for WENO schemes on unstructured meshes en_UK
dc.type Article en_UK
dc.identifier.cris 23891760

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