Original Articles: 3D Metric-based anisotropic mesh adaptation for vortex capture

Authors:
íric Joubarne;François Guibault
Affiliations:
-;-
Venue:
Mathematics and Computers in Simulation
Year:
2011

Citing 6
Cited 0

An Anisotropic Error Indicator Based on Zienkiewicz-Zhu Error Estimator: Application to Elliptic and Parabolic Problems

SIAM Journal on Scientific Computing
Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows

Journal of Computational Physics
A New Finite Element Gradient Recovery Method: Superconvergence Property

SIAM Journal on Scientific Computing
Metric tensors for anisotropic mesh generation

Journal of Computational Physics
Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems

Applied Numerical Mathematics - Applied scientific computing: Advances in grid generation, approximation and numerical modeling
Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations

Journal of Computational Physics

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Abstract

Abstract: A mesh adaptation procedure is presented to capture a tip vortex in a CFD calculation. The objective is to reduce the numerical diffusion by refining the mesh in the vortex core and coarsen it away from its center. The error estimator of the adaptation scheme is based on the Hessian of a scalar field. The sum of the original vorticity and a transported vorticity is used to calculate the Hessian. The transported vorticity is calculated as a separate equation, which has no influence on the flow computation. To assess the quality of the process, a laminar test case is studied.