Description

Book Synopsis

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.



Table of Contents

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

Moving Finite Element Method

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    A Hardback by Maria do Carmo Coimbra, Alirio Egidio Rodrigues, Jaime Duarte Rodrigues

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      Publisher: Taylor & Francis Inc
      Publication Date: 22/06/2016
      ISBN13: 9781498723862, 978-1498723862
      ISBN10: 1498723861

      Description

      Book Synopsis

      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.



      Table of Contents

      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

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