Isogeometric analysis of Lagrangian hydrodynamics

被引：23

作者：

Bazilevs, Y. ^{[1
]}

Akkerman, I. ^{[2
]}

Benson, D. J. ^{[1
]}

Scovazzi, G. ^{[3
]}

Shashkov, M. J. ^{[4
]}

机构：

[1] Univ Calif San Diego, Dept Struct Engn, San Diego, CA 92123 USA

[2] Univ Durham, Sch Engn & Comp Sci, Durham DH1 3LE, England

[3] Duke Univ, Dept Civil & Environm Engn, Durham, NC 27708 USA

[4] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 243卷

关键词：

Lagrangian hydrodynamics; Shock physics; Isogeometric analysis; NURBS; Explicit time integration; Symmetry; Energy conservation; FINITE-ELEMENT FORMULATION; WIND TURBINE ROTORS; SHOCK HYDRODYNAMICS; ARTIFICIAL VISCOSITY; 3D SIMULATION; APPROXIMATION; CONTINUITY; GEOMETRY; ACCURATE; NURBS;

D O I：

10.1016/j.jcp.2013.02.021

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Isogeometric analysis of Lagrangian shock hydrodynamics is proposed. The Euler equations of compressible hydrodynamics in the weak form are discretized using Non-Uniform Rational B-Splines (NURBS) in space. The discretization has all the advantages of a higher-order method, with the additional benefits of exact symmetry preservation and better per-degree-of-freedom accuracy. An explicit, second-order accurate time integration procedure, which conserves total energy, is developed and employed to advance the equations in time. The performance of the method is examined on a set of standard 2D and 3D benchmark examples, where good quality of the computational results is attained. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：224 / 243

页数：20

共 52 条

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