CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2016, Vol. 33 ›› Issue (5): 516-522.

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Numerical Inlet and Outlet Boundary Conditions in SPH Method

ZHOU Jie, XU Shengli   

  1. School of Aerospace, Tsinghua University, Beijing 100084, China
  • Received:2015-08-26 Revised:2016-02-17 Online:2016-09-25 Published:2016-09-25

Abstract: With concepts of virtual particles, we present a method for inlet and outlet boundary conditions. Inlet zone is located just outside inlet boundary, which is defined and filled with virtual particles. Outlet and buffer zones are located just outside outlet boundary. Quantities of outlet boundary virtual particles are calculated, and quantities of buffer boundary virtual particles are imposed. According to stream status of every time step, zone property of fluid particles could to be changed. Relevant fluid particles are added or remored, when boundary virtual particles inflow or outflow fluid domain. With SPH method based on N-S equation, two-dimensional pipe flow is used to verify boundary conditions. Finally boundary conditions applied in calculation models of shock tube and flow around a cylinder are studied. Inlet and outlet boundary conditions are proposed to avoid fluid particles integral truncation near border, and to assure fluid particles and shock wave flow out boundary.

Key words: SPH, boundary condition, virtual particles, shock tube

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