Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
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Summary
This paper shows how to achieve a full and strong coupling between anisotropic mesh adaptation and goal-oriented error estimate in three steps based on a careful analysis of the contributions of the implicit error and of the interpolation error.
- Type
- article
- Published
- 2010-04-01
- Cited by
- 225
- References
- 61
- OpenAlex
- https://openalex.org/W2013523116
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:18503993
Keywords
Interpolation (computer graphics), A priori and a posteriori, Discretization, Finite element method, Metric tensor
References
- Anisotropic mesh adaptation : Theory, validation and applications
- HIGH-ORDER ADAPTIVE METHOD APPLIED TO HIGH-SPEED FLOWS
- A Panoramic View of Riemannian Geometry.
- Adaptation de maillage anisotrope 3D multi-échelles et ciblée à une fonctionnelle pour la mécanique des fluides : Application à la prédiction haute-fidélité du bang sonique
- TAPENADE 2.1 user's guide
- A wind-tunnel investigation of the effect of body shape on sonic-boom pressure distributions
- Iterative methods for sparse linear systems
- Mesh Generation: Application to Finite Elements
- Delaunay triangulation and meshing : application to finite elements
- Génération de maillage et adaptation de maillage par optimisation locale
- About theoretical and practical impact of mesh adaptation on approximation of functions and PDE solutions
- 3D anisotropic mesh adaptation by mesh modification
- Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems
- Surface meshing using a geometric error estimate
- New anisotropic a priori error estimates
- An Anisotropic Error Indicator Based on Zienkiewicz-Zhu Error Estimator: Application to Elliptic and Parabolic Problems
- Goal-oriented anisotropic grid adaptation
- High-order sonic boom modeling based on adaptive methods
- Anisotropic mesh adaption by metric‐driven optimization
- Analytic adjoint solutions for the quasi-one-dimensional Euler equations
Cited by
- Anisotropic metric-based mesh adaptation for unsteady CFD simulations involving moving geometries. (Adaptation de maillage anisotrope par prescription de champ de métriques appliquée aux simulations instationnaires en géométrie mobile)
- Toward Automatic Verification of Goal-Oriented Flow Simulations
- Low Boom Configuration Analysis with FUN3D Adjoint Simulation Framework (Invited)
- Qualification des simulations numériques par adaptation anisotropique de maillages
- Adaptation de maillages pour des schémas numériques d'ordre très élevé. (Mesh adaptation for very high order numerical schemes)
- Comparison of mesh adaptation techniques for high-speed compressible flow problems : the scramjet testcase for the Euler equations
- An adaptive framework for high-order, mixed-element numerical simulations
- Continuous and discrete adjoints to the Euler equations for fluids
- Hybrid mesh adaptation applied to industrial numerical combustion
- Preface to the special issue "High order methods for CFD problems"
- Specialized CFD Grid Generation Methods for Near-Field Sonic Boom Prediction
- Mesh quality assessment based on aerodynamic functional output total derivatives
- Anisotropic Delaunay Mesh Generation
- Experimental and Computational Sonic Boom Assessment of Boeing N+2 Low Boom Models
- The geometry of r-adaptive meshes generated using optimal transport methods
- Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients,
- Original Articles: 3D Metric-based anisotropic mesh adaptation for vortex capture
- Continuous Mesh Framework Part II: Validations and Applications
- CFL3D, FUN3d, and NSU3D Contributions to the Fifth Drag Prediction Workshop
- Goal oriented mesh adaptation using total derivative of aerodynamic functions with respect to mesh coordinates – With applications to Euler flows
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