为了同时保证复杂核能耦合系统求解的收敛性、计算精度和效率，《基于节块展开法的JFNK联立求解耦合系统的方法研究》扩展了高精度的粗网节块展开法NEM与强收敛、高效率的Jacobian-Free Newton KrylovJFNK方法，并充分发挥其各自优势将两种方法组合起来，开发了基于节块展开法的JFNK统一耦合计算平台NEM_JFNK，从高效空间离散和耦合求解方法两个角度同时出发，实现耦合系统的高效联立求解。
Chapter 1Introduction
1.1Background and Significance
1.2Research Actuality
1.2.1Coupled Methods for HTR Multiphysics Systems
1.2.2JFNK for Reactor Coupled Problems
1.2.3Nodal Method
1.3Research Work
1.3.1Research Method
1.3.2Research Framework
Chapter 2Analysis of Key Problems of NEM and JFNK
for Reactor Coupled Systems
2.1Particularity Analysis of Reactor Coupled Systems
2.1.1Multiphysics and Multiloop Coupling
2.1.2Multiscale Temperal, Spatial and Variable
Coupling
2.1.3MutiDomain Coupling and MultiType
Coupling Coexistence
2.1.4Charateristics of HTR Coupled Systems
2.2Challenge and Key Problems of Reactor Coupled Systems
2.2.1Convergence
2.2.2Accuracy and Efficiency
2.2.3Temperal and Spatial Discrete Scheme
2.3Coupled Methods of Reactor Systems
2.3.1Traditonal Coupled Method and Analysis of
Existing Problems
2.3.2JFNK Method and Key Technologies
2.4Key Ideas of JacobianFree NewtonKrylov Nodal
Expansion Method
2.4.1Nodal Expansion Method for Coupled Problems
2.4.2JacobianFree NewtonKrylov Nodal Expansion
Method for Coupled Problems
2.5Brief Summary
Chapter 3Nodal Expansion Method for Neutron and
Thermohaudraulic Model
3.1Formulation of Nodal Expansion Method
3.1.1Basic Framework
3.1.2Model Derivation
3.2Nodal Expansion Method for Neutron Prolems With
Void Regions
3.3Nodal Expansion Method for ConvectionDiffusion
Equations
3.3.1Stability Analysis
3.3.2Dissipation Analysis
3.3.3Numerical Results and Analysis
3.3.4Conclusions and Analysis of Existing Problems
3.4General Nodal Expansion Method
3.4.1Basic Framework
3.4.2Model Derivation and Theoretical Analysis
3.4.3Charateristics
3.4.4Numerical Results and Analysis
3.5A New Nodal Expansion Method With HighOrder
Moments
3.5.1Basic Ideas
3.5.2Computational Framework
3.5.3Charateristics
3.5.4Numerical Oscillation Analysis
3.5.5Numerical Accuracy and Efficiency
3.5.6Analysis of Transverse Leakage Terms
3.6Brief Summary
Chapter 4Nodal Expansion Method for Reactor
Coupled Systems
4.1Analysis of Coupled Model
4.2Unified Discrete Schemes of Coupled Model
4.2.1Special Treatments of Coupled Source Terms and
Higher Order Information Transfer
4.2.2Treatment of Nonlinear Terms and Discretization of
Property Parameter
4.2.3Coupled Problems Between Pressure and Velocity
for Porous Medium Model
4.3Transient Models
4.3.1TransverseIntegrated Techniques for Temperal
Terms
4.3.2SpaceTime Fully TransverseIntegrated Methods
for Transient Neutron Equations
4.4Gobal Solutions of MutiDomain and MultiType
Coupling Problems
4.5Calculation Process and Characteristics
4.6Numerical Results and Analysis
4.6.1Thermohydraulic Coupled Problem for Porous
Media Model
4.6.2Steady NTH Coupled Problem for Pebble
Bed Core Systems
4.6.3Transient NTH Coupled Problems
4.6.4Complicated MutiDomain and MultiType
Coupled Problems
4.7Brief Summary
Chapter 5JacobianFree NewtonKrylov Nodal Expansion
Method for Reactor Coupled Problems
5.1Residual Equation Construction
5.1.1Basic Ideas and Formulation
5.1.2Particularity Analysis of KEigenvalue Problems
5.2Local Elimination Method
5.2.1Basic Ideas
5.2.2Elimination Method for Coupled Terms
and Transverse Leakage Terms
5.2.3Elimination Method for Nodal Expansion
Coeffcients
5.2.4Establishion of Final Residuals
5.3Preconditioning Method
5.3.1Linear Preconditioning
5.3.2Nonlinear Preconditioning
5.3.3Comparision of Linear Preconditioning and
Nonlinear Preconditioning
5.4Global Convergence Method
5.5Calculation Framework
5.6Numerical Results and Analysis
5.6.1Coupled Model for Single Fuel Rods
5.6.2Mutidimensional and Mutigroup Neutron Model
5.6.3Mutidimensional and Mutiphysics Coupled Model
5.7Brief Summary
Chapter 6Conclusions and Suggestions
6.1Conclusions
6.2Innovations
6.3Suggestions
References
Appendices AMaterial Contants of TWIGL and IAEA2D
Problems
Appendices BMesh Size and Temperature Coefficient of
NTH Coupled Problems
Appendices CMaterial Constants of 2D4g Neutron
Problems
Published Academic Papers
Acknowledgements
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