Fast Calculation of Thermophysical Properties in Extensive Process Simulations with the Spline-Based Table Look-Up Method (SBTL)

Matthias Kunick

doi:10.51202/9783186618061

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Bibliographic data

Copyright year: 2018
ISBN-Print: 978-3-18-361806-4
ISBN-Online: 978-3-18-661806-1
Publisher: VDI Verlag, Düsseldorf
Series: Energietechnik
Volume: 618
Language: German
Pages: 162
Product type: Book Titles

Titelei/Inhaltsverzeichnis Partial access Pages I - XIV Download chapter (PDF)
Introduction No access Pages 1 - 3
1. 1. Ideal-Gas Model No access
  2. Cubic Equations of State No access
2. 1. Reference Equations of State No access
  2. Short Fundamental Equations of State for Industrial Applications No access
  3. Fast Fundamental Equations for Separate Regions No access
3. Backward Equations No access
4. 1. 1. Local Polynomial Interpolation No access
    2. Tabular Taylor Series Expansion Method (TTSE) No access
    3. Spline Interpolation and Approximation Algorithms No access
  2. 1. Local Polynomial Interpolation No access
    2. Tabular Taylor Series Expansion Method (TTSE) No access
    3. Spline Interpolation and Approximation Algorithms No access
  3. Thermodynamic Consistency of Table Look-up Methods No access
5. 1. Computing Times of Various Operations No access
  2. Computationally Efficient Implementation of Property Formulations No access
  3. Computing-Time Comparisons No access
6. Conclusions for the Development of a Fast and Accurate Property Calculation Method for Extensive Process Simulations No access
1. 1. Spline Functions No access
  2. Transformations No access
  3. Inverse Spline Functions No access
  4. Derivatives No access
2. 1. Spline Functions No access
  2. Transformations No access
  3. Inverse Spline Functions No access
  4. Derivatives No access
  5. Calculations in the Two-Phase Region No access
1. Basic Structure No access
2. Generation of One-Dimensional SBTL Property Functions No access
3. Generation of Two-Dimensional SBTL Property Functions No access
1. 1. Range of Validity No access
  2. Spline Functions for the Single-Phase Region No access
  3. Calculations in the Two-Phase Region No access
  4. Derivatives No access
  5. Deviations from IAPWS-IF97 No access
  6. Numerical Consistency at Region Boundaries No access
2. 1. Range of Validity No access
  2. Spline Functions for the Single-Phase Region No access
  3. Calculations in the Two-Phase Region No access
  4. Derivatives No access
  5. Deviations from IAPWS-IF97 No access
  6. Numerical Consistency at Region Boundaries No access
3. 1. Spline Functions of (v,u) No access
  2. Spline Functions of (p,h) No access
  3. Deviations from IAPWS-IF97 No access
4. Computing-Time Comparisons No access
1. 1. Range of Validity No access
  2. Spline Functions for the Single-Phase Region No access
  3. Deviations from IAPWS-95 No access
2. 1. Range of Validity No access
  2. Spline Functions for the Single-Phase Region No access
  3. Deviations from IAPWS-95 No access
3. Computing-Time Comparisons No access
1. Range of Validity No access
2. Property Calculations in the Single-Phase Region No access
3. Deviations from IAPWS-95 No access
4. Computing-Time Comparisons No access
5. Property Calculations in the Two-Phase Region No access
1. Computational Fluid Dynamics No access
2. Heat Cycle Simulations No access
3. Nuclear Reactor System Safety Analysis No access
Summary and Outlook No access Pages 114 - 117
1. Grid Optimization Algorithm of Kretzschmar et al No access
2. Relationships between the Derivatives of the Residual Helmholtz Free Energy No access
3. Newton’s Method for Two Dimensions No access
4. Newton’s Method for Three Dimensions No access
5. Property Calculations in the Two-Phase Region from (p,h) No access
6. Property Calculations in the Two-Phase Region from (p,s) No access
7. Property Calculations in the Two-Phase Region from (h,s) No access
8. Property Calculations in the Two-Phase Region from (v,u) No access
9. Property Calculations in the Two-Phase Region from (p,v) No access
10. Property Calculations in the Two-Phase Region from (u,s) No access
11. Transformations and Grid Dimensions No access
12. Deviations of (v,u) and (p,h) Spline Functions from IAPWS-IF97 No access
13. Deviations of (v,u) and (p,h) Spline Functions from IAPWS-95 No access
14. Bicubic Spline Functions for s(v,u) and Derived Properties – Deviations from IAPWS-95 No access
References No access Pages 153 - 162