scholarly journals Numerical study of nonlinear Schrödinger equation with high-order split-step corrected smoothed particle hydrodynamics method

2019 ◽  
Vol 68 (9) ◽  
pp. 090203
Author(s):  
Tao Jiang ◽  
Jin-Jing Huang ◽  
Lin-Guang Lu ◽  
Jin-Lian Ren
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Smoothed Particle Hydrodynamics ◽  
Schrodinger Equation ◽  
Numerical Study ◽  
Nonlinear Schrodinger Equation ◽  
High Order ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Smoothed Particle Hydrodynamics Method

scholarly journals A Numerical Study of Fluid Flow in a Vertical Slot Fishway with the Smoothed Particle Hydrodynamics Method

Water ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1928 ◽  
Author(s):  
Gorazd Novak ◽  
Angelantonio Tafuni ◽  
José M. Domínguez ◽  
Matjaž Četina ◽  
Dušan Žagar
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Numerical Study ◽  
Free Surface Flows ◽  
Open Boundary ◽  
Doppler Velocity ◽  
Vertical Slot ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Smoothed Particle Hydrodynamics Method ◽  
Vertical Slot Fishway

Fishways have a great ecological importance as they help mitigate the interruptions of fish migration routes. In the present work, the novel DualSPHysics v4.4 solver, based on the smoothed particle hydrodynamics method (SPH), has been applied to perform three-dimensional (3-D) simulations of water flow in a vertical slot fishway (VSF). The model has been successfully calibrated against published field data of flow velocities that were measured with acoustic Doppler velocity probes. A state-of-the-art algorithm for the treatment of open boundary conditions using buffer layers has been applied to accurately reproduce discharges, water elevations, and average velocity profiles (longitudinal and transverse velocities) within the observed pool of the VSF. Results herein indicate that DualSPHysics can be an accurate tool for modeling turbulent subcritical free surface flows similar to those that occur in VSF. A novel relation between the number of fluid particles and the artificial viscosity coefficient has been formulated with a simple logarithmic fit.

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