Book contents
- Frontmatter
- Contents
- Preface
- Part I General Principles of Thermal Radiation and Applications
- 1 Fundamentals of Thermal Radiation
- 2 Radiative Transfer Equation
- 3 Numerical Methods for Solving the Radiative Transfer Equation
- 4 Experimental Techniques for Macroscale Thermal Radiative Properties
- 5 Applications of Macroscale Thermal Radiation
- Part II Micro/Nanoscale Thermal Radiation
- 6 An Overview of Micro/Nanoscale Thermal Radiation
- 7 Theoretical Fundamentals of Micro/Nanoscale Thermal Radiation
- 8 Numerical Methods for Micro/Nanoscale Thermal Radiation
- 9 Experimental Techniques for Micro/Nanoscale Thermal Radiation
- 10 Manipulation of Thermal Radiative Properties in Micro/Nanoscale
- 11 Applications of Micro/Nanoscale Thermal Radiation
- References
- Index
3 - Numerical Methods for Solving the Radiative Transfer Equation
Published online by Cambridge University Press: 31 October 2024
- Frontmatter
- Contents
- Preface
- Part I General Principles of Thermal Radiation and Applications
- 1 Fundamentals of Thermal Radiation
- 2 Radiative Transfer Equation
- 3 Numerical Methods for Solving the Radiative Transfer Equation
- 4 Experimental Techniques for Macroscale Thermal Radiative Properties
- 5 Applications of Macroscale Thermal Radiation
- Part II Micro/Nanoscale Thermal Radiation
- 6 An Overview of Micro/Nanoscale Thermal Radiation
- 7 Theoretical Fundamentals of Micro/Nanoscale Thermal Radiation
- 8 Numerical Methods for Micro/Nanoscale Thermal Radiation
- 9 Experimental Techniques for Micro/Nanoscale Thermal Radiation
- 10 Manipulation of Thermal Radiative Properties in Micro/Nanoscale
- 11 Applications of Micro/Nanoscale Thermal Radiation
- References
- Index
Summary
In this chapter, a summary of numerical algorithms solving the radiative transfer equation (RTE) is presented. These algorithms could be roughly classified into two categories. The one is ray-tracing methods, including the Zone method, Monte Carlo method, and discrete transfer method. The stochastic approach of Monte Carlo codes is widely used, since its flexible applicability to arbitrary multidimensional configurations. The others are methods based on the discretization of the differential form of RTE, including the spherical harmonics method, discrete ordinates method, and finite volume method.
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- Chapter
- Information
- Thermal RadiationFrom Macro to Nano, pp. 54 - 79Publisher: Cambridge University PressPrint publication year: 2024