Covariant smoothed particle hydrodynamics on a curved background

Journal Article · Mon Jan 15 00:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.451· OSTI ID:6914539

Kheyfets, A; Miller, W A ^[1]; Zurek, W H ^[2]

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1. Spacetime Physics Group, High Energy Plasma Division, Weapons Laboratory, Kirtland Air Force Base, New Mexico 87117 (US)
2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)

We show that the smoothed-particle-hydrodynamics discretization technique is compatible with the principles of general relativity if the contact interactions are modeled by spatial smoothing functions in the local frame comoving with the fluid. We then develop a smoothed-particle-hydrodynamics algorithm to model a non-self-gravitating isentropic fluid on a curved background. The equations of the fluid are discretized using a kernel whose spatial support is of a constant proper width in the local comoving frame. The one-dimensional relativistic shock problem is used for testing this algorithm.

• OSTI ID: 6914539
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 41:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HYDRODYNAMIC MODEL
GENERAL RELATIVITY THEORY
ALGORITHMS
COMPUTERIZED SIMULATION
LAGRANGIAN FUNCTION
ONE-DIMENSIONAL CALCULATIONS
SHOCK WAVES
SPACE-TIME
THERMODYNAMIC MODEL
FIELD THEORIES
FUNCTIONS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
PARTICLE MODELS
SIMULATION
STATISTICAL MODELS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation