Performance and Accuracy Limitations in Weakly Compressible SPH

  • Thiery, Fabian (Technical University of Munich)
  • Adami, Stefan (Technical University of Munich)
  • Adams, Nikolaus (Technical University of Munich)

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Smoothed Particle Hydrodynamics (SPH) is a meshless Lagrangian method widely used in computational fluid dynamics and for the modeling of manufacturing processes [1-3]. In particular, Weakly Compressible SPH (WCSPH) has been increasingly used for simulating fluid flows in the past few decades [4]. Despite its popularity, the WCSPH method has limitations concerning performance and approximation accuracy. Especially performance is a crucial issue for the time-consuming simulations of manufacturing processes. One reason for these limitations in WCSPH is the constant equation of state (EOS). The currently used EOS leads to performance and accuracy drawbacks for cases with highly changing pressure magnitudes, as it is common in many manufacturing processes. We have pointed out case setups of manufacturing processes where the WCSPH method is less preferable than other SPH algorithms. The knowledge and understanding of the origins of such weaknesses in WCSPH allows to design tailored SPH algorithms for the respective applications. In summary, our study sheds light on the limitations of the WCSPH method, highlights the differences between WCSPH and other SPH methods, and proposes a potential improvement for the WCSPH method. Our findings provide a valuable contribution to the SPH community and could lead to more accurate and faster simulations of fluid flows and manufacturing processes.