A computationally-efficient numerical method that uses a Pseudo-Eulerian formulation (PEF) for the design calculation of unit operations is presented and validated. This method is applicable to any unit operation that can be modelled using a system of ODEs. Performing the design of a unit operation in the PEF is tenfold faster than with the conventional Eulerian formulation (EF). The mathematical equivalence between the PEF and the EF is demonstrated by proving that the solution of different unit operation design problems provides the same numerical result independently of the formulation. It is shown that reducing the computation of the unit operation design problems also speeds the computation time of a process design or an optimization flowsheet. Additionally, as opposed to other computationally efficient methods for unit operation design, the PEF allows the accurate estimation of the concentration or temperature profiles of complex unit operations such as a multiphase multicomponent reactor system.

提出并验证了一种计算效率高的数值方法，该方法使用伪欧拉公式 (PEF) 进行单元操作的设计计算。此方法适用于可以使用 ODE 系统建模的任何单元操作。在 PEF 中执行单元操作的设计比使用传统的欧拉公式 (EF) 快十倍。PEF 和 EF 之间的数学等价性通过证明不同单元操作设计问题的解决方案提供与公式无关的相同数值结果来证明。结果表明，减少单元操作设计问题的计算也加快了工艺设计或优化流程的计算时间。此外，与用于单元操作设计的其他计算效率高的方法相反，