Sufficient Conditions and Numerical Validations for Smooth Functions in Particle Approximation of SPH Scheme

doi:10.19596/j.cnki.1001-246x.7807

Abstract

Abstract: To obtain second order accuracy in SPH scheme, sufficient conditions for smooth functions are discussed and formula are presented. Uniqueness is analyzed for solution of the second order particle approximation. SPH approximate solutions are numerically validated to arrive at nearly second accuracy in the case of periodic boundary conditions. While particle number increases, L₁-error decreases and L₁-order approaches to the second order particle approximation of SPH scheme.

Key words: SPH scheme, smooth function, particle approximation numerical simulation

CLC Number:

O241.5

XU Chengjun, XU Shengli. Sufficient Conditions and Numerical Validations for Smooth Functions in Particle Approximation of SPH Scheme[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(1): 25-38.

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