Fast Calculation of Thermophysical Properties in Extensive Process Simulations with the Spline-Based Table Look-Up Method (SBTL)
Zusammenfassung
The presented Spline-Based Table Look-Up Method (SBTL) is intended to be used for fast and accurate property calculations in computationally extensive process simulations, such as Computational Fluid Dynamics (CFD), heat-cycle calculations, simulations of non-stationary processes, and real-time process optimizations, where conventional multiparameter equations of state may be unsuitable because of their computing time consumption. Through the use of the SBTL method, the results of existing property formulations are accurately reproduced at high computational speed. SBTL property functions, their first derivatives, and inverse functions are continuous and numerically consistent with each other. The developed algorithms are successfully applied in commercial and non-commercial software products for CFD, heat-cycle calculations, and simulations of non-stationary processes. The International Association for the Properties of Water and Steam has adopted the “Guideline on the Fast Calculat...
Schlagworte
Fast Calculation thermophysical process Stimulation Spline-Based Table Look-up Method Thermophysical Properties Spline-Interpolation Table Look-Up Method Equation of State Process Simulations Computational Fluid Dynamics Heat-Cycle Simulations Transient Processes7 Treffer gefunden
- „... metastable-vapor regions at the vapor-liquid phase transition are included in the liquid region L and the gas ...” „... validity is shown in Fig. 46. The specific internal energy at the critical point uc = 2015.734 524 kJ/kg ...” „... most purposes, but if needed the transition at this boundary can be smoothed using simple ...”
- „... density based CFD solvers, property functions of specific volume and specific internal energy (v,u), as ...” „... (developed by SIEMENS PG) and EBSILON® Professional (developed by STEAG Energy Services). The application ...” „... regions at the vapor-liquid phase transition. This enables the application of a novel 7-equation ...”
- „... . Currently, the tolerances for the internal energy u and the specific volume v are set to 0.001 kJ/kgu ...” „... tools for heat cycle simulations, the balance equations of mass, energy, and entropy often lead to (p,h ...” „... ), the solution of the balance equations of mass, momentum, and total energy requires fluid property ...”
- „... is needed. The specific internal energy at the critical point uc = 2015.734 524 kJ/kg is used to ...” „... purposes, but if needed the transition at this boundary can be smoothed using simple interpolation ...” „... purposes, but if needed the transition at this boundary can be smoothed using simple interpolation ...”
- „... Energy Services GmbH, are reduced by 17% with regard to the direct application of IAPWS-IF97. For RELAP ...” „... metastable-liquid and metastable-vapor regions at the vaporliquid phase transition. Through the use of the SBTL ...”
- „... internal energy at the critical point uc = 2019.025 106 kJ/kg is used to define the boundary between the L ...” „... , but if needed the transition at these boundaries can be smoothed with simple interpolation equations ...” „... The specific internal energy at the critical point uc = 2019.025 106 kJ/kg defines the region ...”
- „... state from statistical mechanics. The energy content of the ideal gas is stored in the vibrational ...” „... model Property Relationship Specific internal energy uo 0 o o o 0 d T p T u T h c T T RT ...” „... IAPWS-95 [1]. 2.1.2 Cubic Equations of State For process simulations with phase transitions from ...”