Coupling of smooth particle hydrodynamics with PRONTO
A gridless numerical technique called smooth particle hydrodynamics (SPH) has been coupled to the transient dynamics finite element code, PRONTO. In this paper, a new weighted residual derivation for the SPH method will be presented, and the methods used to embed SPH within PRONTO will be outlined. Example SPH-PRONTO calculations will also be presented. One major difficulty associated with the Lagrangian finite element method is modeling materials with no shear strength; for example, gases, fluids and explosive bi-products. Typically these materials can be modeled for only a short time with a Lagrangian finite element code. Large distortions cause tangling of the mesh, which will eventually lead to numerical difficulties such as negative element area or ``bow tie`` elements. Remeshing will allow the problem to continue for a short while, but the large distortions can prevent a complete analysis. Smooth particle hydrodynamics is a gridless Lagrangian technique. Requiring no mesh, SPH has the potential to model material fracture, large shear flows, and penetration. SPH computes the strain rate and the stress divergence based on the nearest neighbors of a particle, which are determined using an efficient particle sorting technique. Embedding the SPH method within PRONTO allows part of the problem to be modeled with quadrilateral finite elements while other parts are modeled with the gridless SPH method. SPH elements are coupled to the quadrilateral elements through a contact like algorithm.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 10183971
- Report Number(s):
- SAND-93-1781C; CONF-931121-17; ON: DE93019080
- Resource Relation:
- Conference: Annual winter meeting of the American Society of Mechanical Engineers,New Orleans, LA (United States),28 Nov - 3 Dec 1993; Other Information: PBD: [1993]
- Country of Publication:
- United States
- Language:
- English
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GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
36 MATERIALS SCIENCE
HYDRODYNAMICS
P CODES
ALGORITHMS
FINITE ELEMENT METHOD
LAGRANGIAN FUNCTION
ANALYTICAL SOLUTION
FRACTURES
MATHEMATICAL MODELS
SHEAR
STRAIN RATE
661300
990200
360000
OTHER ASPECTS OF PHYSICAL SCIENCE
MATHEMATICS AND COMPUTERS
MATERIALS