Meshfree Methods for High Fidelity Numerical Simulations of Viscous Incompressible Flow
Department of Applied Mathematics
Illinois Institute of Technology
We discuss ideas for a new adaptive algorithm that will enable us to tackle the problems of moving boundaries and fluid-surface interactions. This algorithm combines the flexibility and accuracy of RBFs with a Lagrangian framework for the Navier-Stokes equations that simplifies adaptation to a constantly changing domain. Our method should be able to perform numerical simulations for arbitrary moving domains, including problems associated with free-surface flows, fluid-surface interaction or moving boundaries. Preliminary analysis of our method shows that our approach can successfully compete with current state-of-the-art methods. This is joint work with Paritosh Mokhasi and Dietmar Rempfer.
29 March, 2010 E1 106 4:40 pm