Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications

Description

This book presents methods for full-wave computer simulation that can be used in various applications and contexts, e.g. seismic prospecting, earthquake stability, global seismic patterns on Earth and Mars, medicine, traumatology, ultrasound investigation of the human body, ultrasound and laser operations, ultrasonic non-destructive railway testing, modelling aircraft composites, modelling composite material delamination, etc. The key innovation of this approach is the ability to study spatial dynamical wave processes, which is made possible by cutting-edge numerical finite-difference grid-characteristic methods. The book will benefit all students, researchers, practitioners and professors interested in numerical mathematics, computer science, computer simulation, high-performance computer systems, unstructured meshes, interpolation, seismic prospecting, geophysics, medicine, non-destructive testing and composite materials. Front Matter ....Pages i-xi Theory and Practice of Wave Processes Modelling (Alena V. Favorskaya, Igor B. Petrov)....Pages 1-6 Interpolation on Unstructured Triangular Grids (Alena V. Favorskaya)....Pages 7-44 Interpolation on Unstructured Tetrahedral Grids (Alena V. Favorskaya)....Pages 45-73 Piecewise Linear Interpolation on Unstructured Tetrahedral Grids (Alena V. Favorskaya)....Pages 75-115 Grid-Characteristic Method (Alena V. Favorskaya, Igor B. Petrov)....Pages 117-160 Numerical Modelling of Composite Delamination and Non-destructive Testing (Katerina A. Beklemysheva, Alexey V. Vasyukov, Alexander O. Kazakov, Alexey S. Ermakov)....Pages 161-185 Wave Processes Modelling in Geophysics (Alena V. Favorskaya, Nikolay I. Khokhlov, Vasiliy I. Golubev, Anton V. Ekimenko, Yurij V. Pavlovskiy, Inga Yu. Khromova et al.)....Pages 187-218 Migration of Elastic Wavefield Using Adjoint Operator and Born Approximation (Oleg Ya. Voynov, Vasiliy I. Golubev, Michael S. Zhdanov, Igor B. Petrov)....Pages 219-240 Migration of Elastic Fields Based on Kirchhoff and Rayleigh Integrals (Alena V. Favorskaya, Michael S. Zhdanov)....Pages 241-265 Back Matter ....Pages 267-270