We describe a method for computing time-dependent solutions to the compressible Navier-Stokes equations on variable geometries. We introduce a continuous mapping between a fixed referenceâ€¦ (More)

The present work predicts the formation of laminar separation bubbles at low Reynolds numbers and the related transition to turbulence by means of Implicit Large Eddy Simulations with a high-orderâ€¦ (More)

We present an efficient implicit time stepping method for Discontinuous Galerkin discretizations of the compressible Navier-Stokes equations on unstructured meshes. The Local Discontinuous Galerkinâ€¦ (More)

We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discretization is carriedâ€¦ (More)

Many practical applications require the analysis of elastic wave propagation in a homogeneous isotropic media in an unbounded domain. One widely used approach for truncating the infinite domain isâ€¦ (More)

The paper outlines two different topics in computational engineering, linear algebra and mesh generation. Many areas of applied mathematics lead to the same fundamental problem in numerical linearâ€¦ (More)

The design of efficient flapping wings for human engineered micro aerial vehicles (MAVs) has long been an elusive goal, in part due to the large size of the design space. One strategy for overcomingâ€¦ (More)

A variety of shooting methods for computing fully discrete time-periodic solutions of partial differential equations, including Newton-Krylov and optimization-based methods, are discussed and used toâ€¦ (More)