A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations

被引：12
|
作者：
Einkemmer, L. [1 ]
Wiesenberger, M. [2 ]
机构：
[1] Univ Innsbruck, Dept Math, A-6020 Innsbruck, Austria
[2] Univ Innsbruck, Inst Ion Phys & Appl Phys, Assoc Euratom OAW, A-6020 Innsbruck, Austria
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2014年 / 185卷 / 11期
基金：
奥地利科学基金会;
关键词：
Arakawa's method; Discontinuous Galerkin; Incompressible Navier-Stokes equations; Conservative methods; Two-dimensional fluids; TURBULENCE; GPU;
D O I：
10.1016/j.cpc.2014.07.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we consider a conservative discretization of the two-dimensional incompressible Navier-Stokes equations. We propose an extension of Arakawa's classical finite difference scheme for fluid flow in the vorticity-stream function formulation to a high order discontinuous Galerkin approximation. In addition, we show numerical simulations that demonstrate the accuracy of the scheme and verify the conservation properties, which are essential for long time integration. Furthermore, we discuss the massively parallel implementation on graphic processing units. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：2865 / 2873
页数：9
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