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Nov 15, 2015 · In this paper we confirm that partition of unity is the condition under which the conservative SPH approximation achieves both consistence and convergence.
May 28, 2024 · In this paper, we propose the reverse KGC (RKGC) formulation, which is conservative and able to precisely satisfy both zero- and first-order consistencies.
Missing: consistence | Show results with:consistence
In this paper we confirm that partition of unity is the condition under which the conservative SPH approximation achieves both consistence and convergence. We ...
Sep 3, 2015 · Typical conservative smoothed particle hydrodynamics (SPH) approximations of the gradient of a scalar field introduce two errors: one ...
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Sep 9, 2020 · This paper presents a review of the progress of smoothed particle hydrodynamics (SPH) towards high-order converged simulations.
Towards high-order consistency and convergence of conservative SPH approximations. Preprint. Full-text available. May 2024. Bo Zhang ...
In this paper, an overview of the mathematical aspects of the SPH consistency is presented with a focus on the most recent developments.
The numerical convergence of smoothed particle hydrodynamics (SPH) can be severely restricted by random force errors induced by particle disorder.
Litvinov, Towards Consistence and Convergence of Conservative Sph Approximations, J Comput Phys, № 301, с. 394 https://doi.org/10.1016/j.jcp.2015.08.041 ...
This paper is devoted to the study of the convergence of weighted particle approximation of nonlinear multidimensional conservation laws.