Moving Finite Element Method Fundamentals and Applications in Chemical Engineering
Auteurs : Coimbra Maria do Carmo, Rodrigues Alirio Egidio, Rodrigues Jaime Duarte, Robalo Rui Jorge Mendes, Almeida Rui Manuel Pires
This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.
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
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.
Date de parution : 12-2018
15.6x23.4 cm
Date de parution : 06-2016
15.6x23.4 cm
Thèmes de Moving Finite Element Method :
Mots-clés :
Ordinary Differential Equations; Mesh free methods in chemical engineering; Spatial Mesh; Numerical algorithims in chemical engineering; Penalty Constants; Computations in chemical engineering; Macro Domain; Time-dependent problems; Ode Solver; Convection-reaction-diffusion partial differential equations; Spatial Nodes; Models in 1D; 1D+1d; and 2D space domains; Thiele Modulus; Dimensionless Temperature; Time Instant; Ode Integration; Finite Differences Methods; Shrinking Core Model; Moving Boundary Problems; Cfd Couple; Stefan Problems; Ode System; Moving Interface; MA MB; Robin Boundary Conditions; Axial Profiles; LDF Model; SMB; Reaction Diffusion Equation; Global Node; Fixed Bed