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A novel non-reflecting boundary condition for fluid dynamics solved by smoothed particle hydrodynamics

Published online by Cambridge University Press:  03 December 2018

Pingping Wang ,
A-Man Zhang Open the ORCID record for A-Man Zhang [Opens in a new window] ,
Furen Ming ,
Pengnan Sun  and
Han Cheng
Pingping Wang
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
A-Man Zhang*
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Furen Ming
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Pengnan Sun
Affiliation:
Ecole Centrale Nantes, LHEEA res. dept. (ECN and CNRS), 44300 Nantes, France
Han Cheng
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
*
†Email address for correspondence: zhangaman@hrbeu.edu.cn
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Abstract

Non-reflecting boundary conditions (NRBCs) play an important role in computational fluid dynamics (CFD). A novel NRBC based on the method of characteristics using timeline interpolations is proposed for fluid dynamics solved by smoothed particle hydrodynamics (SPH). It is performed by four layers of particles whose pressures and velocities are obtained through the Lagrange interpolation in the time domain which is derived from the propagation of characteristic waves between particles. The proposed NRBC can allow outward travelling pressure and velocity messages to pass through the boundary without obvious reflection. That is, with the implementation of the NRBC, the solution in a finite computational domain of interest is close to that in an infinite domain. Several numerical tests show that this NRBC is robust and applicable for a broad variety of hydrodynamics ranging from low to high speed.

JFM classification

Mathematical Foundations: Computational methods Mathematical Foundations: Mathematical Foundations

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Type
JFM Papers
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Journal of Fluid Mechanics , Volume 860 , 10 February 2019 , pp. 81 - 114
Copyright
© 2018 Cambridge University Press 

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