On least-order flow representations for aerodynamics and aeroacoustics

High-Order Discontinuous Galerkin Method on Hexahedral Elements for Aeroacoustics High-Order Discontinuous Galerkin Method on Hexahedral Elements for Aeroacoustics

High-Order Shock Capturing for Computational Aeroacoustics

First-order system least-squares (FOSLS) for modeling blood flow.

The modeling of blood flow through a compliant vessel requires solving a system of coupled nonlinear partial differential equations (PDEs). Traditional methods for solving the system of PDEs do not scale optimally, i.e., doubling the discrete problem size results in a computational time increase of more than a factor of 2. However, the development of multigrid algorithms and, more recently, the...

First-Order System Least-Squares for Darcy-Stokes Flow

The subject of this paper is a first-order system least-squares formulation for the Stokes equation which remains uniformly valid in the limit of vanishing viscosity. For this so-called Darcy-Stokes flow problem we establish continuity and coercivity of the corresponding least-squares functional in appropriate norms. Two types of finite element spaces for the approximation of the velocity field...

On the Use of High-order Finite Difference Schemes on Overset Grids for Les in Aeroacoustics

This work deals with high-order finite difference schemes on overlapping grids for LES. The main numerical algorithm is based on optimized schemes and filters combined with high-order Lagrangian interpolations. This method is extended to moving grids and applied on complex fluid/acoustic phenomena in a ducted cavity.