Ben S. Southworth

Multirate Runge–Kutta for Nonlinearly Partitioned Systems

Abstract. Multirate integration is an increasingly relevant tool that enables scientists to simulate multiphysics systems. Existing multirate methods are designed for equations whose fast and slow variables can be linearly separated using additive or componentwise partitions. How...

Preconditioning a Hybridizable Discontinuous Galerkin Method for Navier–Stokes at High Reynolds Number

Abstract. We introduce a preconditioner for a hybridizable discontinuous Galerkin discretization of the linearized Navier–Stokes equations at high Reynolds number. The preconditioner is based on an augmented Lagrangian (AL) approach of the full discretization. Unlike standard gra...