Grid adaptation for functional outputs: Application to two-dimensional inviscid flows

Journal of Computational Physics

Volumn 176, Issue 1, 2002, Pages 40-69

  Venditti, David A ^a   Darmofal, David L ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Adjoint; Error estimation; Functional correction; Grid adaptation; Integral output

Indexed keywords

FINITE VOLUME METHOD; INTEGRAL EQUATIONS; NUMERICAL METHODS; VISCOUS FLOW;

ADAPTIVE STRATEGY; ADJOINTS; FUNCTIONAL CORRECTION; FUNCTIONAL OUTPUTS; FUNCTIONALS; GRID ADAPTATION; INTEGRAL OUTPUT; INVISCID FLOWS; SIMULATION ERROR; TWO-DIMENSIONAL;

ERROR CORRECTION;

EID: 0037050818     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6967     Document Type: Article

References (20)

1. A posteriori error estimation in finite element analysis
2. The post-processing approach in the finite element method - Part 1: Calculation of displacements, stresses and other higher order derivatives of the displacements
3. Mesh adaptation strategies for problems in fluid dynamics
4. Weighted a posteriori error control in finite element methods
5. Adaptive Unstructured Mesh Algorithms and SUPG Finite Element Method for Compressible High Reynolds Number Flows
6. Numerical experiments with the Osher upwind scheme for the Euler equations
7. Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD. Part I: General principles
8. A posteriori Error Estimation for Discontinuous Galerkin Approximations of Hyperbolic Systems
9. Optimization of an Advanced Design Three-Element Airfoil at High Reynolds Numbers
10. A posteriori finite element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem
11. Unstructured grid generation using iterative point insertion and local reconnection
12. Recent improvements in aerodynamic Optimization on Unstructured Meshes
13. Adaptive remeshing for compressible flow computations
14. Adjoint recovery of superconvergent functionals from PDE approximations
15. GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
16. Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
17. Grid convergence for adaptive methods
18. A simple error estimation and adaptive procedure for practical engineering analysis