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An improved MUSCL treatment for the SPH‐ALE method: comparison with the standard SPH method for the jet impingement case
Author(s) -
Koukouvinis Phoevos K.,
Anagnostopoulos John S.,
Papantonis Dimitris E.
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.3706
Subject(s) - monotone polygon , jet (fluid) , benchmark (surveying) , viscosity , mathematics , computational fluid dynamics , lagrangian , mechanics , work (physics) , conservation law , classical mechanics , physics , mathematical analysis , geometry , geology , thermodynamics , geodesy
SUMMARY In the present work, a new implementation of the Monotone Upwind‐centered Scheme for Conservation Laws (MUSCL) ‐ Hancock scheme has been developed for the SPH‐Arbitrary Lagrangian Eulerian (ALE) method. The resulting method was tested at various benchmark cases and then it was used to simulate the jet impingement on a flat plate for several different impingement angles, in comparison with the standard SPH method and results from literature. The SPH‐ALE method proves to produce higher quality results than the standard SPH method in all cases, while the MUSCL treatment tends to remedy the issues of the numerical viscosity, inherent to the method, up to a point. Copyright © 2012 John Wiley & Sons, Ltd.