SC Seminar Deepesh Toshniwal (Univ. of Texas ICES)

High-order structure-preserving splines for incompressible flow simulation

Date: Thursday 18 October
Time: 11h00
Room: L120

Speaker: Deepesh Toshniwal (ICES, The University of Texas at Austin, working with prof. T. Hughes)
Title: High-order structure-preserving splines for incompressible flow simulation

Abstract: In this talk, we will discuss the construction of high-order spline basis functions that span gradient, curl and divergence conforming spaces with applications to electromagnetism and fluid flows in mind. Stability of the resulting numerical schemes is complemented by pointwise satisfaction of conservation laws  — such as mass conservation in incompressible flow simulations — on arbitrarily curved geometries even at the coarsest levels of discretization. Examples demonstrating the robustness and applicability of the spline spaces will be presented. In particular, they will be used to simulate Stokes flow on curved surfaces that contain parameterization singularities.