Error estimation and control are critical ingredients for improving the reliability of
computational simulations. Adjoint-based techniques can be used to both estimate the error …

An anisotropic, unstructured grid adaptive method is presented for improving the accuracy of
functional outputs of viscous, compressible flow simulations for general discretizations. The …

This thesis presents high-order, discontinuous Galerkin (DG) discretizations of the Reynolds-
Averaged Navier-Stokes (RANS) equations and an output-based error estimation and mesh …

This work presents a mesh refinement indicator based on entropy variables, with an
application to the compressible Navier–Stokes equations. The entropy variables are shown …

While an indispensable tool in analysis and design applications, Computational Fluid
Dynamics (CFD) is still plagued by insufficient automation and robustness in the geometry-to …

This paper presents an output-based adaptive algorithm for unsteady simulations of
convection-dominated flows. A space–time discontinuous Galerkin discretization is used in …

Adjoint-based mesh adaptive methods are capable of distributing computational resources
to areas which are important for predicting an engineering output. In this paper, we develop …

We present a single grid error estimation technique based on the derivation of a continuous
equation for the discretization error. It is developed in the context of finite-volume methods …

SOLUTION errors are inherent in any computational fluid dynamics (CFD) simulation.
Sources of error include spatial and temporal discretization, inadequacy or incapacity of …

The idea of hp‐adaptation, which has originally been developed for compact schemes (such
as finite element methods), suggests an adaptation scheme using a mixture of mesh …