Isogeometric analysis of Lagrangian hydrodynamics

被引：22

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

[1] The role of continuity in residual-based variational multiscale modeling of turbulence
Akkerman, I.
Bazilevs, Y.
Calo, V. M.
Hughes, T. J. R.
Hulshoff, S.
[J]. COMPUTATIONAL MECHANICS, 2008, 41 (03) : 371 - 378
[2] Isogeometric analysis of free-surface flow
Akkerman, I.
Bazilevs, Y.
Kees, C. E.
Farthing, M. W.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (11) : 4137 - 4152
[3] Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
Bazilevs, Y.
Calo, V. M.
Cottrell, J. A.
Hughes, T. J. R.
Reali, A.
Scovazzi, G.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 197 (1-4) : 173 - 201
[4] Isogeometric analysis:: Approximation, stability and error estimates for h-refined meshes
Bazilevs, Y.
Da Veiga, L. Beirao
Cottrell, J. A.
Hughes, T. J. R.
Sangalli, G.
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (07) : 1031 - 1090
[5] 3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics
Bazilevs, Y.
Hsu, M. -C.
Akkerman, I.
Wright, S.
Takizawa, K.
Henicke, B.
Spielman, T.
Tezduyar, T. E.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2011, 65 (1-3) : 207 - 235
[6] 3D simulation of wind turbine rotors at full scale. Part II: Fluid-structure interaction modeling with composite blades
Bazilevs, Y.
Hsu, M. -C.
Kiendl, J.
Wuechner, R.
Bletzinger, K. -U.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2011, 65 (1-3) : 236 - 253
[7] Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method
Bazilevs, Y.
Akkerman, I.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (09) : 3402 - 3414
[8] Isogeometric analysis using T-splines
Bazilevs, Y.
Calo, V. M.
Cottrell, J. A.
Evans, J. A.
Hughes, T. J. R.
Lipton, S.
Scott, M. A.
Sederberg, T. W.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) : 229 - 263
[9] Belytschko T., 2014, Nonlinear Finite Elements for Continua and Structures, VSecond
[10] A large deformation, rotation-free, isogeometric shell
Benson, D. J.
Bazilevs, Y.
Hsu, M-C
Hughes, T. J. R.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (13-16) : 1367 - 1378

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