A moving particle semi-implicit method for free surface flow: Improvement in inter-particle force stabilization and consistency restoring

A meshless Lagrangian (particle) method based on the weakly compressible moving particle semi-implicit formulation (WC-MPS) is developed and analysed for simulation of flow over spillways. To improve the accuracy of the model for pressure and velocity calculation, some modifications are proposed and evaluated for the inflow and wall boundary conditions implementation methods. The final model is applied for simulation of flow over the 45° and 60° ogee spillways (with different inflow rates) and also shallow flow over a spillway-like curved bed channel. To evaluate the model, the numerical results of free surface profile and velocity and pressure field are compared with the available experimental measurements. Comparisons show the results’ accuracy of the developed model and proposed improvements. The results of this study will not only provide a reliable numerical tool for modelling of flow over spillways, but also provide an insight for better understating flow pattern over these hydraulic structures.

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An accurate and efficient semi-implicit method for section-averaged free-surface flow modelling

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2191 ◽

2011 ◽

Vol 65 (4) ◽

pp. 448-473 ◽

Cited By ~ 16

Author(s):

G. Rosatti ◽

L. Bonaventura ◽

A. Deponti ◽

G. Garegnani

Keyword(s):

Free Surface ◽

Free Surface Flow ◽

Surface Flow ◽

Implicit Method ◽

Flow Modelling

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Analysis of Severe Accident in Complex System Reactor Using Moving Particle Semi-Implicit (MPS) Method

Jurnal Pengembangan Energi Nuklir ◽

10.17146/jpen.2021.23.2.6546 ◽

2021 ◽

Vol 23 (2) ◽

Author(s):

Rifqa Fikriya Rahasri ◽

Asril Pramutadi Andi Mustari ◽

Anni Nuril Hidayati

Keyword(s):

Nuclear Reactors ◽

Complex Structure ◽

Free Surface Flow ◽

Surface Flow ◽

Implicit Method ◽

Severe Accident ◽

Reactor Accident ◽

Simulation Results ◽

Moving Particle ◽

Mesh Grid

The very complex structure of nuclear reactors is one aspect of the cause of severe accidents in nuclear reactors. To prevent serious accidents, analysis is needed on the reactor design before the reactor is built. Reactor accident analysis can be done using the Moving Particle Semi-Implicit method. The Moving Particle Semi-Implicit method is excellent in simulating the movement of liquid fuel in a reactor because it can analyze the free surface flow of an incompressible liquid without using a mesh grid. Simulations were carried out using three types of fluids with different viscosities and densities such as water, oil, and wax. The simulation results show that the water takes the fastest time to drain all the particles and the oil takes the longest time. From the simulation results, it can be determined that the kinematic viscosity of a liquid affects its flow velocity.

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Improvement of Pressure Calculations in the Moving Particle Semi-Implicit Method for Free-Surface Flows

International Journal of Computational Methods ◽

10.1142/s0219876219500622 ◽

2019 ◽

Vol 17 (09) ◽

pp. 1950062 ◽

Cited By ~ 1

Author(s):

Wenjin Gou ◽

Shuai Zhang ◽

Yao Zheng

Keyword(s):

Free Surface ◽

Free Surface Flow ◽

Free Surface Flows ◽

Surface Flow ◽

Surface Boundary ◽

Navier Stokes Equation ◽

Surface Flows ◽

Mps Method ◽

Flow Simulations ◽

Moving Particle

In this paper, numerical improvements are implemented for solving for the pressure in the moving particle semi-implicit (MPS) method for free-surface flow simulations. The tensile instability problem is solved using a dynamic stabilization (DS) algorithm. The low numerical diffusion of this algorithm is shown through numerical tests. A free-surface treatment that includes an accurate free-surface particle detection algorithm and the implicit application of a free-surface boundary condition is used. The solution of the Navier–Stokes equation is improved using a particle shifting (PS) algorithm. The proposed MPS method for free-surface flow simulations is successfully applied in several benchmark tests and two- and three-dimensional dam break problems. The numerical simulation results agree well with the analytical and empirical ones. It is shown that the proposed MPS method effectively improves the stability and accuracy of simulations of free-surface flows.

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