Spectral properties of the SPH Laplacian operator

• Published in: Computers & mathematics with applications (1987) Vol. 75; no. 10; pp. 3649 - 3662
• Main Authors: Violeau, Damien, Leroy, Agnès, Joly, Antoine, Hérault, Alexis
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15.05.2018; Elsevier BV; Elsevier
• Subjects: Computational fluid dynamics; Conditioning; Discrete element method; Eigenvalues; Eigenvectors; Fluid flow; Fluid mechanics; Laplace transforms; Laplacian; Mechanics; Numerical analysis; Periodic variations; Physics; Smooth particle hydrodynamics; Spectrum; Spectrum analysis; SPH; Eigenvalues; SPH; Conditioning; Laplacian; Spectrum

In order to address the question of the SPH (Smoothed Particle Hydrodynamics) Laplacian conditioning, a spectral analysis of this discrete operator is performed. In the case of periodic Cartesian particle network, the eigenfunctions and eigenvalues of the SPH Laplacian are found on theoretical groun...