About the Book
Mathematics is a universal language. Differential equations, modeling, numerical methods, and computation form the deep infrastructure of engineering and sciences. In this context mathematical modeling is a very powerful tool for studying engineering, natural systems, and human society. This interdisciplinary book contains a comprehensive overview of the progress achieved up to date in the modeling of coupled phenomena, computational mathematics and mechanics, heat transfer, fluid-structure interactions, biomechanics, flow of mass, and energy in porous media. These are all among the different topics covered in this book through completely solved practical problems. 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 worldwide numerical techniques, but applied to concrete, useful topics. The models and solutions here presented describe various systems, mechanical, biological, geophysical, technical, ecological, etc.
The book is organized in thirty five chapters written by distinguished experts in each one of the different fields covered in its pages. The aim is to present the current state of knowledge in numerical engineering practice, recent and ongoing developments with the projection of new ideas for future research on applied computational engineering mathematics. This work is for those working in or studying any branch of engineering including structural, civil, mechanics, geological, and geophysical, as well as those involved with aquifers and petroleum reservoirs. Applied mathematicians, physicists, and others will find relevant considerations in the methods discussed.
Table of Contents:
Table of Contents Authors' CVs by Chapter XIX Part 1: Computational mathematics, modeling and numerical methods 1 Mathematical and computational modeling in Mexico; I. Herrera-Revilla 2 Numerical solution of boundary inverse problems for orthotropic solids; I. Brilla 3 Reliable numerical solutions for random differential systems; L. Jodar Sanchez, J.C. Cortes & L. Villafuerte 4 Area functionals for high quality grid generation; P. Barrera-Sanchez, G. Gonzalez Flores, F. Dominguez-Mota, J.L. Castellanos Noda & A. Perez Dominguez 5 Multi-objective topological optimization of structures; S.I. Valdez Pena, S. Botello Rionda & A. Hernandez Aguirre 6 Some patterns in primes and their possible applications as quasi-Monte Carlo methods in multivariable integration; A. Ortiz-Tapia 7 Comparison between discrete and continuous Schrodinger operators with a small potential well; J.A. Rodriguez-Ceballos & P. Zhevandrov 8 Enhanced finite elements: A unified approach; I. Herrera-Revilla Part 2: Coupled problems in fluid-structure interactions and in heat transfer 9 Simulation of structural response to violent-free surface flows, R. Lohner, C. Yang & E. Onate 10 Fluid structure interaction and proper orthogonal decomposition (POD) method, M. Benaouicha, E. Liberge & A. Hamdouni 11 Numerical models for simulation of the seismic behavior of RC structures-A case study, H. Varum, A. Costa & H. Rodrigues 12 Numerical modeling of wave phenomena (refraction-diffraction) applied to breakwaters of the cooling water intake of Laguna Verde nuclear power plant in Veracruz, Mexico, I.E. Herrera D., H. Ramirez, L., C. Couder C. & I. Campos P. 13 Computer simulations of open-cell foams thermo-conductivity properties, O. Tkachenko & S. Kanaoun 14 Numerical simulation of a basic steelmaking furnace, D.Y. Medina & M.A. Barron 15 Unsteady natural convection in interconnected systems, C.I. Rivera-Solorio, A.J. Garcia-Cuellar, J.J. Gonzalez Villafana & R. Ramirez Tijerina 16 Dynamic-thermal-structural analysis of a gas turbine blade with internal cooling, A. Campos-Amezcua, Z. Mazur, G.M. Garcia-Gomez, A. Gallegos-Munoz, J.M. Riesco-Avila, J.A. Alfaro-Ayala, V. Perez-Garcia & J.J. Pacheco-Ibarra 17 Transient analysis of a geothermal snow-melting system on a typical bridge, S. Porkhial, O. Asghari & M.R. Shirzadi Part 3: Computational mechanics of fluids and solids, multiphysics, biomechanics 18 Fast calculation of electro- and thermo-static fields in 3D-medium with an isolated heterogeneous inclusion using Gaussian approximating functions and application of FFT, S. Babaii K. & S. Kanaoun 19 Analytic-numerical approach of the equations to simulate wave amplitude attenuation in silencers of exhaust systems of internal combustion engines, J.M. Arnau, J.V. Romero, M.D. Rosello & J.A. Torregrosa 20 Adaptive FE limit analysis bounds approach to the computation of the limit load in plane stress, R. Cordero & J. Bonet 21 Probability density functions from patterns in primes' indices-Perspectives of usage as a quasi-Monte Carlo method, A. Ortiz-Tapia 22 An arterial element for modeling vascular flow, S. Gallegos, J. Cortes, L. Florez & A. Robles Part 4: Flow of mass and energy in porous media 23 3D analytical solutions for transport in a double porosity media, R. Gonzalez-Herrera 24 Systematic formulation of continuum systems: Theoretical modelling of combustion fronts in porous media, D. Lopez-Falcon, M. Diaz-Viera, I. Herrera-Revilla & E. Rodriguez-Jauregui 25 Trefftz-Herrera collocation method: Numerical modelling of combustion fronts in porous media, M. Diaz-Viera, D. Lopez-Falcon & I. Herrera-Revilla 26 The integrated finite difference method (IFD), applied to simulate groundwater flow in the aquifer of Morelia, Michoacan, Mexico, J.A. Rodriguez Castro 27 Numerical modeling of the coupled flow of brine and oil in hydrocarbon reservoirs, M.C. Suarez Arriaga, F. Samaniego & J. Bundschuh Part 5: Boundary elements, spectral and meshless methods, numerical optimization 28 A novel boundary element multiscale method for damage modelling, G. Sfantos & M.H. Aliabadi 29 A formulation based on the localized Lagrange multipliers for solving 3D frictional contact problems using the BEM, L. Rodriguez-Tembleque, J.A. Gonzalez & R. Abascal 30 Spectral methods in third-order differential operators, C. Gomez de la Garza & G. Lopez Mariscal 31 Wave propagation in a biphasic fluid-solid media, with a pseudo-spectral FD scheme, J.J. Perez Gavilan, E. Flores & F.J. Sanchez-Sesma 32 A numerical particle method for the simulation of mass flows in volcanoes, M.X. Rodriguez Paz & D.R. Sol Martinez 33 The car traffic problem to evacuate people in the Popocatepetl volcano, D.R. Sol Martinez, M.X. Rodriguez Paz & C. Zepeda 34 Numeric optimization of the hydrodynamic model YAXUM/3D, C. Couder C., H. Ramirez L. & I.E. Herrera D. 35 Calculating the outline of a petal tool for polishing optical surfaces using linear programming, C. Castaneda, L.J. Manzano, J. Gonzalez & A. Cordero
About the Author :
Mario César Suárez Arriaga, Jochen Bundschuh, Francisco Javier Dominguez-Mota
