This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method. It offers new tools and approaches for modeling problems with moving fronts. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects for models in 1D, 1D+1d, and 2D space domains. It also presents relevant numerical applications of the moving finite element method derived from real-world process simulations.

Alírio E. Rodrigues is an emeritus professor in the Laboratory of Separation and Reaction Engineering at the University of Porto, Portugal.

Maria do Carmo Coimbra has been working in the area of numerical analysis since 1993. Her research focuses on computational mathematics for the solution of challenging problems arising in chemical engineering. She has been involved in high performance computing and development of numerical software to solve nonlinear partial differential equations at the Associate Laboratory LSRE-LCM. Her research interests include moving finite element method and its applications to time-dependent differential equations in one- or two-dimensional spatial domains including moving boundary problems. She is an Assistant Professor of Mathematics at the University of Porto, Faculty of Engineering, Portugal.

1. Modeling and Simulation in Chemical Engineering. 2. The Moving Finite Elements Method. 3. Solving 1D Time-Dependent Models. 4. Solving 2D Time-Dependent Problems. 5. Solving Two Scales 1D+1d Time-Dependent Problems. 6. Solving Moving Boundary Problems. 7. Looking Ahead. 8. Index