Spatial accuracy and performance of a mixed‐order, explicit multi‐stage method for unsteady flows | Zendy

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Spatial accuracy and performance of a mixed‐order, explicit multi‐stage method for unsteady flows

Author(s) -

Waltz Jacob

Publication year - 2012

Publication title -

international journal for numerical methods in fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.938

H-Index - 112

eISSN - 1097-0363

pISSN - 0271-2091

DOI - 10.1002/fld.3715

Subject(s) - tetrahedron , scheme (mathematics) , convergence (economics) , stage (stratigraphy) , order (exchange) , computer science , mathematics , algorithm , work (physics) , mathematical optimization , computational science , geometry , mathematical analysis , mechanical engineering , engineering , geology , paleontology , finance , economics , economic growth

SUMMARY We assess the spatial accuracy and performance of a mixed‐order, explicit multi‐stage method in which an inexpensive low‐order scheme is used for the initial stages, and a more expensive high‐order scheme is used for the final stage only. Compared with the use of a high‐order scheme for all stages, we observe that the mixed‐order scheme achieves comparable accuracy and convergence while providing a speed‐up of a factor of two on mesh sizes of O (10 6 − 10 7 ) tetrahedron. For calculations with significant adaptive mesh refinement, a more modest speed‐up of 30% is obtained. Published 2012. This article is a US Government work and is in the public domain in the USA.

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