Newton-type decomposition methods in large-scale dynamic process simulation

For the plantwide dynamic simulations in the chemical process industry, a parallel approach using a divide and conquer strategy is developed, and its realization on parallel computers with shared memory is discussed. The system of differential–algebraic equations (DAEs) is partitioned into blocks, and then it is extended appropriately such that block-structured Newton-type methods can be applied, which enable the application of relaxation techniques. Two types of block-structured methods are considered and compared with one another. Applied to industrial applications, the approach has gained considerable speedup factors for the dynamic process simulation of various large-scale distillation plants, covering systems with up to 60 000 equations