Abstract

In this paper, we develop a fully implicit finite difference scheme for the lattice Boltzmann equations. A parallel, highly scalable Newton–Krylov–RAS algorithm is presented to solve the large sparse nonlinear system of equations arising at each time step. RAS is a restricted additive Schwarz preconditioner built with a cheaper discretization. The accuracy of the proposed method is carefully studied by comparing with other benchmark solutions. We show numerically that the nonlinearly implicit method is scalable on a supercomputer with more than 10,000 processors.

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 call

Disclaimer: 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.