Energy balance in the δ-SPH scheme

An in-depth analysis of the energy balance in the δ-SPH model has been carried on. In comparison to the standard SPH scheme, the mechanical energy equation of the δ-SPH variant is characterized by a further term that is generally dissipative and is related to the diffusive operator inside the contin...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2015-06, Vol.289, p.209-226
Main Authors: Antuono, M., Marrone, S., Colagrossi, A., Bouscasse, B.
Format: Article
Language:English
Subjects:
Balancing
Computational fluid dynamics
Computer simulation
Dissipation
Energy balance
Engineering Sciences
Fluid flow
Mathematical analysis
Mathematical models
Meshless methods
Numerical dissipation
Particle methods
Smoothed particle hydrodynamics
Validation
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Summary:An in-depth analysis of the energy balance in the δ-SPH model has been carried on. In comparison to the standard SPH scheme, the mechanical energy equation of the δ-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 have been considered, highlighting that the dissipative term is generally small and it mainly acts when spurious high-frequency acoustic components are excited. In spite of such a dissipation mechanism, the δ-SPH appears more accurate than the standard SPH scheme even in simulating inviscid fluids. •The theoretical analysis of the energy balance in the δ-SPH model has been carried on.•Inviscid free-surface problems have been used to study the model dissipation.•δ-SPH numerical dissipation mainly acts on spurious high-frequency acoustic components.•Higher accuracy of the solutions with respect to the standard SPH model is observed.•δ-SPH prevents numerical accumulation from mechanical energy to compressible energy.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2015.02.004