Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows

@article{Xiu2005StrongAA,
title={Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows},
author={Dongbin Xiu and Spencer J. Sherwin and Suchuan Dong and George Em Karniadakis},
journal={J. Sci. Comput.},
year={2005},
volume={25},
pages={323-346}
}

We present a review of the semi-Lagrangian method for advection-diffusion and incompressible Navier-Stokes equations discretized with high-order methods. In particular, we compare the strong form where the departure points are computed directly via backwards integration with the auxiliary form where an auxiliary advection equation is solved instead; the latter is also referred to as Operator Integration Factor Splitting (OIFS) scheme. For intermediate size of time steps the auxiliary form is… CONTINUE READING