Description
Book SynopsisMathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book contains a comprehensive overview, including practical examples, of the progress achieved to date in the modeling of coupled phenomena, computational mathematics and mechanics, heat transfer, fluid-structure interactions, biomechanics, and the flow of mass and energy in porous media. Numerical subjects such as grid generation, optimization, finite elements, finite differences, spectral methods, boundary elements, finite volumes and meshless methods are also discussed in detail using real examples.
The book provides a thorough presentation of the existing numerical techniques with specific applications to concrete, practical topics. The m
Table of Contents
PREFACE - General Introduction to Coupled Phenomena. Karsten Pruess
PART 1. COMPUTATIONAL MATHEMATICS, MODELING AND NUMERICAL METHODS
PART 2. COUPLED PROBLEMS IN FLUID-STRUCTURE INTERACTIONS AND IN HEAT TRANSFER
PART 3. COMPUTATIONAL MECHANICS OF FLUIDS AND SOLIDS, MULTIPHYSICS, BIOMECHANICS
PART 4. FLOW OF MASS AND ENERGY IN POROUS MEDIA
PART 5. BOUNDARY ELEMENTS, SPECTRAL AND MESHLESS METHODS. NUMERICAL OPTIMIZATION.
