Energy balance in the \(\delta\)-SPH scheme. (English) Zbl 1423.76360
Summary: An in-depth analysis of the energy balance in the \(\delta\)-SPH model has been carried on. In comparison to the standard SPH scheme, the mechanical energy equation of the \(\delta\)-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 \(\delta\)-SPH appears more accurate than the standard SPH scheme even in simulating inviscid fluids.
MSC:
| 76M28 | Particle methods and lattice-gas methods |
| 65M75 | Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs |
| 76Nxx | Compressible fluids and gas dynamics |
Keywords:
particle methods; meshless methods; smoothed particle hydrodynamics; energy balance; numerical dissipation; validationReferences:
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