• Publications
  • Influence
Shock capturing with PDE-based artificial viscosity for DGFEM: Part I. Formulation
TLDR
This work proposes a higher-order, state-based artificial viscosity with an associated governing partial differential equation (PDE). Expand
  • 162
  • 23
  • PDF
CFD Vision 2030 Study: A Path to Revolutionary Computational Aerosciences
This report documents the results of a study to address the long range, strategic planning required by NASA's Revolutionary Computational Aerosciences (RCA) program in the area of computational fluidExpand
  • 289
  • 21
  • PDF
Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows
An anisotropic, unstructured grid adaptive method is presented for improving the accuracy of functional outputs of viscous, compressible flow simulations for general discretizations. The procedureExpand
  • 380
  • 17
  • PDF
Grid adaptation for functional outputs: application to two-dimensional inviscid flows
This paper presents an error estimation and grid adaptive strategy for estimating and reducing simulation errors in integral outputs (functionals) of partial differential equations. Adaptive criteriaExpand
  • 335
  • 16
  • PDF
Adjoint error estimation and grid adaptation for functional outputs: application to quasi-one-dimensional flow
Abstract An error estimation and grid adaptive strategy is presented for estimating and reducing simulation errors in functional outputs of partial differential equations. The procedure is based onExpand
  • 237
  • 15
  • PDF
Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics
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 in chosen solutionExpand
  • 284
  • 12
  • PDF
p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
We present a p-multigrid solution algorithm for a high-order discontinuous Galerkin finite element discretization of the compressible Navier-Stokes equations. The algorithm employs an element lineExpand
  • 341
  • 10
  • PDF
A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations
TLDR
This paper presents a mesh adaptation method for higher-order (p>1) discontinuous Galerkin (DG) discretizations of the two-dimensional, compressible Navier-Stokes equations. Expand
  • 161
  • 8
  • PDF
An optimization-based framework for anisotropic simplex mesh adaptation
TLDR
We present a general framework for anisotropic h-adaptation of simplex meshes. Expand
  • 89
  • 8
A Robust Multigrid Algorithm for the Euler Equations with Local Preconditioning and Semi-coarsening
A semi-coarsened multigrid algorithm with a point block Jacobi, multi-stage smoother for second-order upwind discretizations of the two-dimensional Euler equations which produces convergence ratesExpand
  • 56
  • 7
  • PDF