Abstract
This paper studies the dispersion characteristic and stable time step of the meshfree method in explicit dynamic problems using the generalized meshfree (GMF) approximation. In the dispersion analysis, the von Neumann method is applied to analyze the numerical dispersion errors for the spatial semi-discretization of a partial differential equation (PDE) in meshfree method using various approximations. The study emphasizes on the influence from the Kronecker-delta property in the approximation that is constructed using the GMF approximation and the full transformation method. In the stable time step analysis, we derive the analytical value of the critical time step based on the eigenvalue analysis. In addition, special attention is paid on the study of the boundary condition effect in suggesting a stable time step used for the practical analysis. Three full-discretization examples are presented to verify the study in the semi-discretization analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
