Fully Anisotropic Goal-oriented Mesh Adaptation for Unsteady Flows
نویسندگان
چکیده
We present a new algorithm for combining a fully anisotropic goal-oriented mesh adaptation with the transient fixed point method for unsteady problems. The minimization of the error on a functional provides both the density and the anisotropy (stretching) of the optimal mesh. This method is used for specifying the mesh for a time subinterval from the state and the adjoint. The global transient fixed point iterates the re-evaluation of meshes and the states over the whole time interval until convergence. Applications to unsteady blast-wave Euler flows are presented.
منابع مشابه
Anisotropic Goal-Oriented Mesh Adaptation for Time Dependent Problems
We present a new algorithm for combining an anisotropic goal-oriented error estimate with the mesh adaptation fixed point method for unsteady problems. The minimization of the error on a functional provides both the density and the anisotropy (stretching) of the optimal mesh. They are expressed in terms of state and adjoint. This method is used for specifying the mesh for a time sub-interval. A...
متن کاملUnstructured Adaptive Moving Mesh Solution of Unsteady Shear Flows and Free-surface Flows
A method for performing anisotropic unstructured mesh adaptation is discussed that is well suited for computational fluid dynamics on parallel distributed memory computers. This algorithm which involves mesh motion, rather than refinement and coarsening, is fast, parallel, and fully conservative. The approach is effective at accurately capturing free-surface flows, boundary layers, and unsteady...
متن کاملPhD Position at Inria Saclay-Ile de France Title: Anisotropic Mesh Adaptation for RANS Simulations with Moving Geometries in Aeronautics
Subject: The aim of mesh adaptation is to generate automatically the best mesh to perform a specific numerical simulation [1]. It results in a powerful methodology that reduces significantly the size of the mesh required to reach the desired accuracy. Thus, it impacts favorably the simulation CPU time and memory requirement. Moreover, as the generated adapted mesh is in agreement with the physi...
متن کاملA 3D Goal-Oriented Anisotropic Mesh Adaptation Applied to Inviscid Flows in Aeronautics
This paper studies the coupling between anisotropic mesh adaptation and goal-oriented error estimate. The former is very well suited to the control of the interpolation error. It is generally interpreted as a local geometric error estimate. On the contrary, the latter is preferred when studying approximation errors for PDEs. It generally involves non local error contributions. Consequently, a f...
متن کاملFully Anisotropic Goal-oriented Mesh Adaptation for the Euler Equations
A main advantage of unstructured meshes, i.e., tetrahedral meshes, is their flexibility for generating elements with large shape and size variations everywhere in the domain. Moreover, an adequate adaptation of the mesh impacts favorably numerical schemes. Consequently, an automatic process to control the mesh generation is of main importance. This document describes a goal-oriented anisotropic...
متن کامل