An in-depth analysis of the energy conservation in the ?-SPH model has been carried on. In comparison to the standard SPH scheme, the mechanical energy equation of the ?-SPH variant is characterized by a further term that is generally dissipative and is related to the diffusive operator inside the continuity equation. The behaviour and the structure of such a term have been studied in detail and a number of specifically conceived test cases has been considered, highlighting that the dissipative term is generally small and it mainly acts when spurious high-frequency acoustic components are excited.

Energy conservation in the -SPH scheme

M Antuono;B Bouscasse;A Colagrossi;S Marrone
2014

Abstract

An in-depth analysis of the energy conservation in the ?-SPH model has been carried on. In comparison to the standard SPH scheme, the mechanical energy equation of the ?-SPH variant is characterized by a further term that is generally dissipative and is related to the diffusive operator inside the continuity equation. The behaviour and the structure of such a term have been studied in detail and a number of specifically conceived test cases has been considered, highlighting that the dissipative term is generally small and it mainly acts when spurious high-frequency acoustic components are excited.
2014
Istituto di iNgegneria del Mare - INM (ex INSEAN)
978-88-7617-020-1
Particle methods; Meshless methods; Smoothed particle hydrodynamics; Energy balance; Numerical dissipation; Validation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/253352
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