Adiabatic particle hydrodynamics in three dimensions

Statistics – Computation

Scientific paper

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Adiabatic Flow, Elastic Waves, Gas Flow, Hydrodynamics, Shock Tubes, Three Dimensional Flow, Computational Fluid Dynamics, Equations Of Motion, Monte Carlo Method, Rarefaction

Scientific paper

When computing highly asymmetric three-dimensional gasdynamic flows, particle methods are often computationally superior to methods involving spatial grids. The technique of employing a quasi-random distribution of particles to simulate local hydrodynamic variables has been found to be both reasonably accurate and computationally efficient. Monaghan and Gingold (1983) have demonstrated that the smoothed particle hydrodynamics (SPH) can be extended to adiabatic flows in which each representative particle is endowed with an additional thermal parameter in addition to its velocity. The present study is concerned with a truly three-dimensional adiabatic SPH scheme which accurately describes the one-dimensional adiabatic blowoff and steady adiabatic shocks of various strengths. Only approximately 100 particles are used. The results of the conducted calculations show that the smoothed particle method can be extended to three-dimensional adiabatic flows which may possibly develop shocks.

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