Curvilinear finite elements for Lagrangian hydrodynamics

International Journal for Numerical Methods in Fluids

Volumn 65, Issue 11-12, 2011, Pages 1295-1310

  Dobrev, V A ^a   Ellis, T E ^b   Kolev, Tz V ^a   Rieben, R N ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b CALIFORNIA POLYTECHNIC STATE UNIVERSITY   (United States)

Author keywords

Compressible flow; Curvilinear meshes; Finite element methods; High order methods; Hydrodynamics; Hyperbolic partial differential equations; Lagrangian methods; Variational methods

Indexed keywords

CURVILINEAR MESHES; FINITE ELEMENT; HIGH-ORDER METHODS; HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION; LAGRANGIAN METHODS; VARIATIONAL METHODS;

COMPRESSIBLE FLOW; DISCRETE EVENT SIMULATION; EULER EQUATIONS; FLUID DYNAMICS; HYDRODYNAMICS; KINEMATICS; LAGRANGE MULTIPLIERS; PARTIAL DIFFERENTIAL EQUATIONS; SHOCK WAVES; THERMODYNAMIC PROPERTIES;

FINITE ELEMENT METHOD;

EID: 79952730910     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2366     Document Type: Article

References (10)

1. Ockendon H, Ockendon J. Waves and Compressible Flow. Texts in Applied Mathematics, vol. 47. Springer: Berlin, 2004.
2. Tipton R. CALE Lagrange step. Technical Report, vol. 47, Lawrence Livermore National Laboratory, October 1990.
3. Wilkins ML. Methods in Computational Physics, Calculation of Elastic-plastic Flow. Academic Press: New York, 1964.
4. Scovazzi G, Love E, Shashkov M. Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: Theoretical framework and two-dimensional computations. Computer Methods in Applied Mechanics and Engineering 2008; 197:1056-1079.
5. Sedov LI. Similarity and Dimensional Methods in Mechanics (10th edn). CRC Press: Boca Raton, 1993.
6. Caramana EJ, Shashkov MJ. Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures. Journal of Computational Physics 1998; 142(2):521-561.
7. Caramana EJ, Burton DE, Shashkov MJ, Whalen PP. The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. Journal of Computational Physics 1998; 146:227-262.
8. Barlow A. A compatible finite element multi-material ALE hydrodynamics algorithm. International Journal for Numerical Methods in Fluids 2007; 56:953-964.
9. Kolev TzV, Rieben RN. A tensor artificial viscosity using a finite element approach. Journal of Computational Physics 2009; 228(22):8336-8366.
10. Noh WF. Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux. Journal of Computational Physics 1987; 72(1):78-120.