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Author(s):
T. Aoki and T. Yabe
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Title:
Multi-dimensional Cubic Interpolation for ICF Hydrodynamics Simulation
Date of publication:
May 1991
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Key words:
ICF, inertial confinement fusion, multi-dimension, hydrodynamics, target implosion, cubic interpolation, hyperbolic equation, cubic-interpolated pseudo-particle, CIP
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Abstract:
A new interpolation method is proposed to solve the multi-dimensional hyperbolic equations which appear in describing the hydrodynamics of ICF implosion. The advection phase of the cubic-interpolated pseudo-particle (CIP) is greatly improved, by assuming the continuities of the second and the third spatial derivatives in addition to the physical value and the first derivative. These derivatives are derived from the given physical equation. In order to evaluate the new method, Zalesak's example is tested, and we obtain successfully good results.
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