采用双网格双二次样条插值模型，建立了p-h热力学面上水和水蒸气温度和熵的样条函数T^SPL（p，h）和s^SPL（p，h）。T^SPL（p，h）的计算，将p—h热力学面划分为五个子区，每个子区采用均匀网格，其中两相区简化为饱和线Tsat（p）的计算，并采用曲面延拓的方法对饱和线附近区域进行处理。s^SPL（p，L）的计算无需分区，为保证全区域计算精度，采用等差和等比两种非均匀网格划分方法。计算表明，T^SPL（p,h）的计算速度是T^IF97（p，h）的18．4—23．5倍，计算精度比T^SPL（p，h）高3到4个数量级。
Spline function TSPL（p,h） and 8SPL（p,h） for therinodynamic properties T and s of water and steam are established based on the double-grid bi-quadratic spline interpolation model. For the calculation of TSPL（p,h）, the computational p-h region is divided into five regions on which uniform grids are established. To increase the accuracy of TSPL（p,h） in the vicinity of saturated p-h line, a surface extension method is introduced, and cMculation in the two-phase region is simplified to calculation of saturated line TSar（p）. For the calculation of sSPL（p,h）, division of computing region is not necessary, and two kinds of non-uniform grids are introduced to ensure a high accuracy in the entire computational region. Results show that the computing speed of TSpL（p,h） is 18.4-23.5 times faster than that of TIF97（p,h） with 3-4 orders of magnitude higher accuracy.
参考文献
| [1] | Wagner W.;Dittmann A.;Kijima J.;Kretzschmar HJ.;Kruse A. Mares R.;Oguchi K.;Sato H.;Stocker I.;Sifner O.;Takaishi Y. Tanishita I.;Trubenbach J.;Willkommen T.;Cooper JR. .The IAPWS industrial formulation 1997 for the thermodynamic properties of water and steam[J].Journal of engineering for gas turbines and power: Transactions of the ASME,2000(1):150-182. |
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