What is it about?
How to reduce dissipation in Smoothed Particle Hydrodynamics (SPH) when using Riemann solvers (i.e. shock capturing techniques). Here we introduce the theory, the implementation and then undertake extensive validation with both 2-D & 3-D cases. The results are impressive and lay the foundation for more ambitious development.
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Why is it important?
This is the first work to include an augmented Harten, Lax, van Leer, and Einfeldt (AHLLE) approximate Riemann solver in weakly compressible SPH. Different to existing Riemann-SPH approaches, by using a wave propagation algorithm with the Einfeldt speed, no quasi-conservative reformulation is required. This enables the method to preserve physical wave behaviour while avoiding excessive numerical damping observed in other methods such as Roe-SPH and Lax-Friedrichs-SPH.
Perspectives
This has been a collaboration led by Hossein Mahdizadeh, PhD, P.Eng. and our colleagues at the University of Ottawa, at SPH@Manchester leading to this really interesting paper in the Journal of Computation Physics (JCP).
Professor Benedict D. Rogers
University of Manchester
Read the Original
This page is a summary of: An augmented HLLE approximate Riemann solver for the solution of weakly compressible SPH models, Journal of Computational Physics, November 2026, Elsevier,
DOI: 10.1016/j.jcp.2026.115172.
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