Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations

被引：43
|
作者：
Giorgiani, Giorgio [1 ]
Fernandez-Mendez, Sonia [1 ]
Huerta, Antonio [1 ]
机构：
[1] Univ Politecn Catalunya BarcelonaTech, ETS Ingn Caminos Canales & Puertos, Dept Matemat Aplicada 3, Lab Calcul Numer LaCaN, Barcelona 08034, Spain
来源：
COMPUTERS & FLUIDS | 2014年 / 98卷
关键词：
Hybrid methods; Discontinuous Galerkin; Navier-Stokes equations; CFD; p-Adaptivity; High-order; Hybridizable Discontinuous Galerkin; 2ND-ORDER ELLIPTIC PROBLEMS; DEGREE HDG METHODS; ERROR ESTIMATION; NONCONFORMING MESHES; FUNCTIONAL OUTPUTS; WEAK SOLUTIONS; PART II; BOUNDS; FLOW; APPROXIMATIONS;
D O I：
10.1016/j.compfluid.2014.01.011
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A degree adaptive Hybridizable Discontinuous Galerkin (HDG) method for the solution of the incompressible Navier-Stokes equations is presented. The key ingredient is an accurate and computationally inexpensive a posteriori error estimator based on the super-convergence properties of HDG. The error estimator drives the local modification of the approximation degree in the elements and faces of the mesh, aimed at obtaining a uniform error distribution below a user-given tolerance in a given output of interest. Three 2D numerical examples are presented. High efficiency of the proposed error estimator is found, and an important reduction of the computational effort is shown with respect to non-adaptive computations, both for steady state and transient simulations. (C) 2014 Published by Elsevier Ltd.
引用
收藏
页码：196 / 208
页数：13
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