In PACM-CGIT 2(2), July 2019. To be presented at SCA 2019.
Abstract: Zehnder et al.  recently introduced an advection-reflection method for fluid simulation that dramatically reduces artificial dissipation. We establish a connection between their method and the implicit midpoint time integration scheme, and present a simple modification to obtain an advection-reflection scheme with second-order accuracy in time. We compare with existing alternatives, including a second-order semi-Lagrangian method based on BDF2, and demonstrate the improved energy-preservation properties.
Additional results (M4V, 48 MB)