This paper presents an efficient procedure to reconstruct the thermodynamic properties of real fluids. An equation-of-state look-up table was constructed with adaptive triangular mesh, which not only provided user-specified accuracy over a selected thermodynamic plane with few grids, but also ensured reconstruction continuity. The triangle could be searched with either the tree data structure or the overlapping uniform index domain. Thermodynamic properties could be reconstructed with the , , or method, which provided different levels of function continuity and thermodynamic consistency. The overlapping uniform index domain increased the searching speed by a factor of 2 and the memory by less than 37% compared with the tree data structure. Property reconstruction on the adaptive triangular mesh was 8–27% slower than that on the uniform mesh and was 2 orders of magnitude faster than the complex equations of state.