Abstract
A variational form of the energy conservation equation is applied to derive a system of variational inequalities describing the dynamics of sandpile growth on an arbitrary rigid support surface due to an external source of granular material. Water transport through the river networks and formation of lakes is also investigated as a limiting case of the sandpile evolution problem. A numerical algorithm is suggested for the solution of the obtained system of variational inequalities. The developed numerical procedure is applied for the investigation of the pile growth on a number of rigid support surfaces, water transport, and formation of lakes.
Sign-in/Register to access full text options 
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.
