Moving Particle Semi-implicit Method
Recent Developments and Applications
- 1st Edition - May 24, 2023
- Authors: Gen Li, Guangtao Duan, Xiaoxing Liu, Zidi Wang
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 1 3 5 0 8 - 8
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 1 3 5 0 9 - 5
Moving Particle Semi-implicit Method: Recent Developments and Applications offers detailed step-by-step guidance for advanced numerical models in the MPS method. With a strong fo… Read more
Moving Particle Semi-implicit Method: Recent Developments and Applications offers detailed step-by-step guidance for advanced numerical models in the MPS method. With a strong focus on overcoming challenges, such as low improving accuracy and numerical stability, the book also examines the applications of MPS, particularly within nuclear engineering. Beginning with an introduction to grid-based and particle-based numerical methods, the book then reviews the original MPS method. Following chapters examine how the original method can be improved, covering topics such as improved discretization models, stabilization methods, multiphase flow and turbulence models, and improving efficiency.
Closing chapters analyze applications in nuclear and ocean engineering, as well as considering future developments and implications. This book is an essential read for graduates, researchers and engineers interested in nuclear engineering and computational fluid dynamics.
- Presents detailed information on the advanced numerical models in the Moving Particle Semi-Implicit (MPS) method, including the improved discretization scheme, stabilization method, boundary condition, multiphase flow and fluid-structure interaction
- Provides the latest advances in improving the accuracy, stability and consistency of the MPS method
- Highlights the nuclear and ocean engineering applications of MPS
Graduates, researchers and engineers interested in nuclear engineering and computational fluid dynamics
1 Introduction
1.1 Grid based numerical method
1.2 Particle based numerical method
2 Original MPS method
2.1 Governing equations
2.2 Basic particle interaction models
2.2.1 Gradient model
2.2.2 Divergence model
2.2.3 Laplacian model
2.3 Boundary conditions
2.3.1 Free surface
2.3.2 Wall boundary
2.3.3 Inflow boundary condition
2.4 Time marching algorithm
2.4.1 Semi-implicit algorithm
2.4.2 Explicit algorithm
2.4.3 Restrictions on time step
3 Improved discretization models
3.1 Improvement of pressure Poisson equations
3.1.1 Compressible PPE
3.1.2 Error compensating parts in source term
3.1.3 High-order PPE
3.2 Corrective matrix for particle interaction models
3.2.1 First order corrective matrix (FCM)
3.2.2 Second order corrective matrix (SCM)
3.3 Least square MPS
3.4 Conservative consistent MPS scheme
3.5 Particle-mesh coupling method
4 Stabilization methods
4.1 Gradient model with stabilizing force
4.2 Particle shifting scheme
4.2.1 Original PS technique for internal particles
4.2.2 Surface tangential shifting for free surface particles
4.2.3 Improved particle shifting for vicinity particles
4.2.4 Surface normal shifting for free surface particles
4.3 Collision model
4.4 Dynamic stabilization
4.5 Artificial viscosity
5 Boundary conditions
5.1 Wall boundary
5.1.1 Fixed wall (dummy) particle representation
5.1.2 Mirror particle representation
5.1.3 Fixed boundary particle representation
5.1.4 Distance-based polygon representation
5.1.5 Integral-based polygon representation
5.1.6 Virtual particle-based polygon representation
5.2 Free surface
5.2.1 Free surface particle detection
5.2.2 Virtual free surface particle
5.2.3 Moving surface mesh
5.3 Inflow and outflow boundaries
6 Surface tension
6.1 Potential based model
6.2 Continuum model
6.3 Free surface stress-based surface tension
7 Multiphase flow and turbulence models
7.1 Gas-liquid two-phase flow
7.1.1 Two-step pressure calculation algorithm
7.1.2 Smoothing techniques of physical properties
7.2 Solid-liquid two-phase flow
7.2.1 Discrete description of the solid granules
7.2.2 Continuum descriptions of the solid granules
7.3 Turbulence model
8 Heat transfer models
8.1 Governing equation and discretization
8.2 Heat transfer boundary conditions
8.3 Solid-liquid phase change model
8.4 Gas-liquid phase change model
9 Efficiency improvement
9.1 OpenMP parallelization
9.2 MPI parallelization
9.3 GPU acceleration
9.4 Multi-resolution technique
10 Applications in nuclear engineering
10.1 Fundamental thermal hydraulics
10.2 Melt behavior in severe accident
10.2.1 Fuel rod disintegration
10.2.2 Melt behavior in RPV lower head
10.2.3 Melt spreading and MCCI at containment
11 Applications in ocean engineering
11.1 Hydrodynamics
11.1.1 Wave impact on ship deck
11.1.2 Water flooding the damaged ship
11.1.3 Sediment transport in waves
11.2 Interactions between fluid and elastic structure
12 Perspective
1.1 Grid based numerical method
1.2 Particle based numerical method
2 Original MPS method
2.1 Governing equations
2.2 Basic particle interaction models
2.2.1 Gradient model
2.2.2 Divergence model
2.2.3 Laplacian model
2.3 Boundary conditions
2.3.1 Free surface
2.3.2 Wall boundary
2.3.3 Inflow boundary condition
2.4 Time marching algorithm
2.4.1 Semi-implicit algorithm
2.4.2 Explicit algorithm
2.4.3 Restrictions on time step
3 Improved discretization models
3.1 Improvement of pressure Poisson equations
3.1.1 Compressible PPE
3.1.2 Error compensating parts in source term
3.1.3 High-order PPE
3.2 Corrective matrix for particle interaction models
3.2.1 First order corrective matrix (FCM)
3.2.2 Second order corrective matrix (SCM)
3.3 Least square MPS
3.4 Conservative consistent MPS scheme
3.5 Particle-mesh coupling method
4 Stabilization methods
4.1 Gradient model with stabilizing force
4.2 Particle shifting scheme
4.2.1 Original PS technique for internal particles
4.2.2 Surface tangential shifting for free surface particles
4.2.3 Improved particle shifting for vicinity particles
4.2.4 Surface normal shifting for free surface particles
4.3 Collision model
4.4 Dynamic stabilization
4.5 Artificial viscosity
5 Boundary conditions
5.1 Wall boundary
5.1.1 Fixed wall (dummy) particle representation
5.1.2 Mirror particle representation
5.1.3 Fixed boundary particle representation
5.1.4 Distance-based polygon representation
5.1.5 Integral-based polygon representation
5.1.6 Virtual particle-based polygon representation
5.2 Free surface
5.2.1 Free surface particle detection
5.2.2 Virtual free surface particle
5.2.3 Moving surface mesh
5.3 Inflow and outflow boundaries
6 Surface tension
6.1 Potential based model
6.2 Continuum model
6.3 Free surface stress-based surface tension
7 Multiphase flow and turbulence models
7.1 Gas-liquid two-phase flow
7.1.1 Two-step pressure calculation algorithm
7.1.2 Smoothing techniques of physical properties
7.2 Solid-liquid two-phase flow
7.2.1 Discrete description of the solid granules
7.2.2 Continuum descriptions of the solid granules
7.3 Turbulence model
8 Heat transfer models
8.1 Governing equation and discretization
8.2 Heat transfer boundary conditions
8.3 Solid-liquid phase change model
8.4 Gas-liquid phase change model
9 Efficiency improvement
9.1 OpenMP parallelization
9.2 MPI parallelization
9.3 GPU acceleration
9.4 Multi-resolution technique
10 Applications in nuclear engineering
10.1 Fundamental thermal hydraulics
10.2 Melt behavior in severe accident
10.2.1 Fuel rod disintegration
10.2.2 Melt behavior in RPV lower head
10.2.3 Melt spreading and MCCI at containment
11 Applications in ocean engineering
11.1 Hydrodynamics
11.1.1 Wave impact on ship deck
11.1.2 Water flooding the damaged ship
11.1.3 Sediment transport in waves
11.2 Interactions between fluid and elastic structure
12 Perspective
- Edition: 1
- Published: May 24, 2023
- Language: English
GL
Gen Li
Gen Li is a professor at South China University of Technology. He got his PhD degree from Waseda University, Japan, in 2015, and then joined the faculty of the Xi’an Jiaotong University, China. In 2021, he moved to South China University of Technology where he is currently working. Prof. Li has been working on the particle method development and the method application in nuclear engineering for many years. He proposed an axisymmetric multiphase Moving Particle Semi-implicit (MPS) method and applied the MPS method to the simulations of nuclear reactor thermal hydraulics and severe accident phenomena. He has published more than 30 journal papers and got three projects from National Natural Science Foundation of China and Ministry of Science and Technology of China. He is an active member of the China Nuclear Society and has close collaboration with other international research institutions.
Affiliations and expertise
Professor, South China University of Technology, ChinaGD
Guangtao Duan
Guangtao Duan is a Project Assistant Professor at The University of Tokyo. He got his PhD degree from Xi’an Jiaotong University, China, in 2016. He worked as postdoctoral researcher in The University of Tokyo (2016-2019) and Waseda University (2017-2019). From 2020, he got his current position at The University of Tokyo. Dr. Duan has done a lot of excellent work on particle method development. He proposed a high-accuracy particle method, sharp interface algorithm in multiphase flow, and advanced solid-liquid and evaporation models. His research has been published on some highly influential international journals. Dr. Duan is also a project principal investigator of the Japan Society for the Promotion of Science.
Affiliations and expertise
Assistant Professor, The University of Tokyo, JapanXL
Xiaoxing Liu
Xiaoxing Liu is an associate professor at Sun Yat-Sen University. He completed his PhD study in Kyushu University, Japan, in 2012-2015. After that, he worked as postdoctoral research fellow in the same laboratory as his PhD study. In 2020, he joined the faculty of Sun Yat-Sen University. His research interests focus on the meshless particle methods and simulations of nuclear reactor severe accident. Dr. Liu also published many research papers related to advanced numerical models in particle method. He has served as session chair in many international conferences (IACM, NUTHOS, etc.).
Affiliations and expertise
Associate Professor, Sun Yat-Sen University, ChinaZW
Zidi Wang
Dr. Zidi Wang is a researcher at the Nuclear Safety Research Center, Japan Atomic Energy Agency. He received his B.Sci degree (2012) and M.Sci degree (2015) from Xi'an Jiaotong University and Shanghai Jiao Tong University, respectively. After that, he received his Ph.D. (2018) from the University of Tokyo, Japan. His research interests include the development of particle method for free surface/interfaces flows and its applications to nuclear safety analysis.
Affiliations and expertise
Researcher, Japan Atomic Energy Agency, Ibaraki, JapanRead Moving Particle Semi-implicit Method on ScienceDirect