Panuelos, JonathanGoldade, RyanBatty, ChristopherMichels, Dominik L.2020-09-302020-09-302020978-3-03868-119-91727-5288https://doi.org/10.2312/sca.20201214https://diglib.eg.org:443/handle/10.2312/sca20201214Unsteady Stokes solvers, coupling stress and pressure forces, are a key component of accurate free surface simulators for highly viscous fluids. Because of the simultaneous application of stress and pressure terms, this creates a much larger system than the standard decoupled approach. We propose a reduced fluid model wherein interior regions are represented with incompressible polynomial vector fields. Sets of standard grid cells are consolidated into super-cells, each of which are modelled using only 26 degrees of freedom. This reduced model retains desirable behaviour of the full Stokes system with smaller computational cost.Computing methodologiesPhysical simulation10.2312/sca.202012141-3