Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
From MaRDI portal
Publication:1592247
DOI10.1006/jcph.2000.6600zbMath0995.76057OpenAlexW2035144773MaRDI QIDQ1592247
David L. Darmofal, David A. Venditti
Publication date: 21 October 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9ca2b8e7d80f8770207f2fe6f701a1ccd95abc98
error estimationisentropic flowadjoint formulationfunctional outputsgrid adaptive strategyquasi-one-dimensional Euler equationssecond-order finite volume discretizationshocked flowsvariable-area duct
Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)
Related Items
Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows., An estimation of point-wise approximation error using the set of numerical solutions, Using adjoint error estimation techniques for elastohydrodynamic lubrication line contact problems, A functional oriented truncation error adaptation method, Enhanced anisotropic block-based adaptive mesh refinement for three-dimensional inviscid and viscous compressible flows, Finite-volume goal-oriented mesh adaptation for aerodynamics using functional derivative with respect to nodal coordinates, Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations, A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux, Smoothed truncation error in functional error estimation and correction using adjoint methods in an unstructured finite volume solver, Adaptive high-order discretization of the Reynolds-averaged Navier-Stokes equations, Goal-Based Error Estimation, Functional Correction, h, p and hp Adaptivity of the 1-D Diamond Difference Discrete Ordinate Method, Quasi-\textit{a priori} truncation error estimation and higher-order extrapolation for non-linear partial differential equations, Dual consistency and functional accuracy: a finite-difference perspective, PDE-constrained optimization with error estimation and control, Adjoint-based error estimation and mesh adaptation for the correction procedure via reconstruction method, Variational multiscale a posteriori error estimation for systems: the Euler and Navier-Stokes equations, Adjoint-based functional correction for unstructured mesh finite volume methods, Mesh quality assessment based on aerodynamic functional output total derivatives, A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations, Adjoint-based error estimation for grid adaptation for large eddy simulation, The ROMES Method for Statistical Modeling of Reduced-Order-Model Error, Time-series machine-learning error models for approximate solutions to parameterized dynamical systems, The estimation of truncation error by \(\tau\)-estimation for Chebyshev spectral collocation method, Orthogonality constrained gradient reconstruction for superconvergent linear functionals, Adaptiveh-refinement for reduced-order models, Linearization errors in discrete goal-oriented error estimation, Optimization loop based on adjoint sensitivity analysis for flows through porous media with adsorption, Stochastic goal-oriented error estimation with memory, Adjoint-based error estimation and grid adaptation for functional outputs: Application to two-dimensional, inviscid, incompressible flows, A review of VMS a posteriori error estimation with emphasis in fluid mechanics, The estimation of truncation error by \(\tau \)-estimation revisited, Output error estimation for summation-by-parts finite-difference schemes, A-posteriori error estimation for the finite point method with applications to compressible flow, Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis, Predicting goal error evolution from near-initial-information: a learning algorithm, On the impact of boundary conditions on dual consistent finite difference discretizations, A higher-order error estimation framework for finite-volume CFD, Relinearization of the error transport equations for arbitrarily high-order error estimates, Pacing CFD: automatic mesh adaptation as an efficient tool to improve CFD accuracy, A POD goal‐oriented error measure for mesh optimization, Adjoint-based error estimation and mesh adaptation for stabilized finite deformation elasticity, Adjoint-based airfoil optimization with adaptive isogeometric discontinuous Galerkin method, Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations, A parallel solution-adaptive method for three-dimensional turbulent non-premixed combusting flows, An optimization-based framework for anisotropic \(hp\)-adaptation of high-order discretizations, An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids, Progress in adjoint error correction for integral functionals, On a posteriori pointwise error estimation using adjoint temperature and Lagrange remainder, Consistent treatment of incompletely converged iterative linear solvers in reverse-mode algorithmic differentiation, A posteriori error estimation by postprocessor independent of method of flow field calculation, Adjoint a posteriori error measures for anisotropic mesh optimisation, Anisotropic norm-oriented mesh adaptation for a Poisson problem, A limiting approach for DG discretizations on mixed type meshes, Convergence Rates of Monotone Schemes for Conservation Laws with Discontinuous Flux, Analytical and Numerical Investigation of the Influence of Artificial Viscosity in Discontinuous Galerkin Methods on an Adjoint-Based Error Estimator, An adjoint-based hp-adaptive stabilized finite-element method with shock capturing for turbulent flows, Model adaptivity for goal-oriented inference using adjoints, Duality based error estimation in the presence of discontinuities, Boundary and internal conditions for adjoint fluid-flow problems. Application to the quasi-1d Euler equations, \(\Re\)-parameter: a local truncation error based adaptive framework for finite volume compressible flow solvers, Grid adaptation for functional outputs: application to two-dimensional inviscid flows, Adjoint correction and bounding of error using Lagrange form of truncation term
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimation and adaptivity in Navier-Stokes incompressible flows
- Adaptive remeshing for compressible flow computations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A posteriori error estimation in finite element analysis
- Optimum aerodynamic design using the Navier-Stokes equations
- Mesh adaptation strategies for problems in fluid dynamics
- Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
- A simple error estimator and adaptive procedure for practical engineerng analysis
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- Fast, adaptive finite element scheme for viscous incompressible flows
- Adjoint Recovery of Superconvergent Functionals from PDE Approximations
- Numerical simulation of laminar flames at low Mach number by adaptive finite elements
- A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem