Establishing credibility of particle methods through verification testing
Year: 2011
Type: conference-paper
Abstract: Within the particle methods community, standard benchmark tests are needed to demonstrate that the governing equations are solved correctly. Whereas the finite element method (FEM) has long-established basic verification standards (patch tests, convergence testing, etc.), no such standards have been universally adopted within the particle method community. As with FEM, particle methods must continue to pass patch tests, convergence, and frame/basis indiference. Of greater contemporary value is the establishment of additional verifcation tests that exercise particle methods in massive-deformation problems involving complicated geometries, for which they purport to be superior to traditional finite-element methods. Two large-deformation verifcation problems, applicable to any constitutive model, are proposed to serve as standardized verifcation tests suitable to quantify accuracy, robustness, and convergence of particle methods. These new verifcation tests not only simultaneously confirm basis and frame indiference, but one of them also involves very large shear strains which are common in the application of the particle methods to penetration problems. One of these problems involves tractionfree boundaries, which is the only boundary condition handled naturally in most particle methods. The other problem separately allows testing of boundary conditions.
Institution: University of Utah
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2617451647