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Evaluation on Numerical Methods for Resolution of Stiff Systems

机译:刚性系统解析数值方法的评价

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Batch distillation process is characterized as being highly flexible, handling a wide range of different mixtures, feed compositions, number of components, changes in product demands and availability of shared storage. Unlike continuous distillation, batch distillation is inherently an unsteady state process and therefore the modelling of such columns is dynamic in nature. This generates a set of differential-algebraic equations (DAE) which is very stiff. In this work, the numerical integration of the system of differential equations is made by using Euler method, Runge-Kutta 4 th. order with variable step method and the semi-implicit method of Villadsen and Michelsen. All of them are compared using different degrees of stiffness. This result is very important to be used in on-line control purposes.
机译:分批蒸馏过程的特点是高度灵活,可处理各种不同的混合物,进料组成,组分数量,产品需求变化和共享存储的可用性。与连续蒸馏不同,间歇蒸馏本质上是一个非稳态过程,因此这种塔的建模本质上是动态的。这会生成一组非常僵化的微分代数方程组(DAE)。在这项工作中,微分方程系统的数值积分是使用Runge-Kutta 4th的Euler方法进行的。 Villadsen和Michelsen的变步长法和半隐式方法的阶数。所有这些都使用不同程度的刚度进行比较。该结果对于用于在线控制目的非常重要。

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