Numerical analysis of jet and submerged hydraulic jump using moving particle semi-implicit method

2012 ◽  
Vol 39 (5) ◽  
pp. 495-505 ◽  
Author(s):  
Farshid Nazari ◽  
Yee-chung Jin ◽  
Ahmad Shakibaeinia
Keyword(s):  
Numerical Analysis ◽  
Hydraulic Jump ◽  
Implicit Method ◽  
Moving Particle ◽  
Submerged Hydraulic Jump

scholarly journals Numerical analysis of the nonlinear free surface flow around an advancing ship using moving particle semi-implicit method

AIP Advances ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 035106
Author(s):  
CholJun Pak ◽  
PokNam Han ◽  
KwangChol Ri ◽  
YongKwang Ri ◽  
InChol Hwang
Keyword(s):  
Free Surface ◽  
Numerical Analysis ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Implicit Method ◽  
Moving Particle ◽  
Nonlinear Free Surface

Closure to “Submerged Hydraulic Jump”

1966 ◽  
Vol 92 (4) ◽  
pp. 154-156
Author(s):  
Nallamuthu Rajaratnam
Keyword(s):  
Hydraulic Jump ◽  
Submerged Hydraulic Jump

scholarly journals Study on divergence approximation formula for pressure calculation in particle method

2018 ◽  
Vol 10 (4) ◽  
pp. 159-169
Author(s):  
Zhu Yue ◽  
Jiang Shengyao ◽  
Yang Xingtuan ◽  
Duan Riqiang
Keyword(s):  
Pressure Oscillation ◽  
Particle Method ◽  
Free Surface Flows ◽  
Implicit Method ◽  
Approximation Formula ◽  
Pressure Poisson Equation ◽  
Pressure Calculation ◽  
Approximation Formulas ◽  
Moving Particle ◽  
Dam Breaking

The moving particle semi-implicit method is a meshless particle method for incompressible fluid and has proven useful in a wide variety of engineering applications of free-surface flows. Despite its wide applicability, the moving particle semi-implicit method has the defects of spurious unphysical pressure oscillation. Three various divergence approximation formulas, including basic divergence approximation formula, difference divergence approximation formula, and symmetric divergence approximation formula are proposed in this paper. The proposed three divergence approximation formulas are then applied for discretization of source term in pressure Poisson equation. Two numerical tests, including hydrostatic pressure problem and dam-breaking problem, are carried out to assess the performance of different formulas in enhancing and stabilizing the pressure calculation. The results demonstrate that the pressure calculated by basic divergence approximation formula and difference divergence approximation formula fluctuates severely. However, application of symmetric divergence approximation formula can result in a more accurate and stabilized pressure.

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