Isogeometric analysis of Lagrangian hydrodynamics: Axisymmetric formulation in the rz-cylindrical coordinates

被引：12

作者：

Bazilevs, Y. ^{[1
]}

Long, C. C. ^{[2
]}

Akkerman, I. ^{[3
]}

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

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

机构：

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

[2] Los Alamos Natl Lab, T Fluid Dynam & Struct Mech 3, Los Alamos, NM 87545 USA

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

[4] Los Alamos Natl Lab, XCP Methods & Algorithms 4, Los Alamos, NM 87545 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 262卷

关键词：

Lagrangian hydrodynamics; Shock physics; Isogeometric analysis; NURBS; Symmetry preservation; Energy conservation; Axisymmetric formulation; rz-cylindrical coordinates; ARTIFICIAL VISCOSITY; FINITE-ELEMENTS;

D O I：

10.1016/j.jcp.2014.01.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A recent Isogeometric Analysis (IGA) formulation of Lagrangian shock hydrodynamics [4] is extended to the 3D axisymmetric case. The Euler equations of compressible hydrodynamics are formulated using the rz-cylindrical coordinates, and are discretized in the weak form using NURBS-based IGA. Artificial shock viscosity and internal energy projection are added to stabilize the formulation. The resulting discretization exhibits good accuracy and robustness properties. It also gives exact symmetry preservation on the appropriately constructed meshes. Several benchmark examples are computed to examine the performance of the proposed formulation. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：244 / 261

页数：18

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