Parallel Finite Volume Computation on General Meshes
Description
This book presents a systematic methodology for the development of parallel multi-physics models and its implementation in geophysical and biomedical applications. The methodology includes conservative discretization methods for partial differential equations on general meshes, as well as data structures and algorithms for organizing parallel simulations on general meshes. The structures and algorithms form the core of the INMOST (Integrated Numerical Modelling Object-oriented Supercomputing Technologies) platform for the development of parallel models on general meshes.
The authors consider applications for addressing specific geophysical and biomedical challenges, including radioactive contaminant propagation with subsurface waters, reservoir simulation, and clot formation in blood flows.
The book gathers all the components of this methodology, from algorithms and numerical methods to the open-source software, as well as examples of practical applications, in a single source, making it a valuable asset for applied mathematicians, computer scientists, and engineers alike.More details
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Persons
Dr. Kirill Terekhov is a Researcher at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, and former postdoctoral scholar at Stanford University. He was the main developer of the INMOST library, reservoir simulator, and free-surface flow solver. He is a reviewer for several scientific journals including Advances in Water Resources, Journal of Computational Physics, Computational Geosciences, etc. He is the author or co-author of over twenty papers and one monograph. His research interests include reservoir simulation, computational fluid dynamics, discretization schemes, multiphase flows, and free-surface flows.
Dr. Kirill Nikitin is a Senior Researcher at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, and a reviewer for the Journal of Computational Physics, Journal of Computational Geosciences, and Russian Journal of Numerical Analysis and Mathematical Modelling. He is the PI in the Russian Science Foundation project "New numerical models and methods for solving the multi-physical problems of effective oil and gas recovery and safe disposal of radioactive waste" (2018-2021), and other completed projects based on Russian Foundation for Basic Research grants (2015-2016, 2012-2013), Russian President grants (2013-2014, 2017-2018), and Russian Ministry of Education and Science contract (2011-2013). He is the author or co-author of over twenty journal papers. His research interests include reservoir simulation, computational fluid dynamics, discretization schemes, multiphase flows, and free-surface flows.
Dr. Ivan Kapyrin is a Senior Researcher at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences; Laboratory Head at the Nuclear Safety Institute of the Russian Academy of Sciences; and an Associate Professor at the Moscow Institute of Physics and Technology. He is the Leader of GeRa hydrogeological software development, a code designed for modelling groundwater flow and radionuclide transport in geological media (ca. 15 researchers involved). He is the co-author of the GEOPOLIS numerical model for the deep well radioactive waste injection site "Zheleznogorskii". He is the author or co-author of over ten journal papers and one textbook. His research interests include groundwater flow and transport modelling, discretization methods for PDEs and site applications of hydrogeological models.
Content
Chapter 1 - Introduction.- Chapter 2 - Monotone finite volume method on general meshes.- Chapter 3 - Application of MFV in reservoir simulatio.- Chapter 4 - Application of FVM in modelling of subsurface radionuclide migration.- Chapter 5 - Application of MFV in modelling of coagulation of blood flow.- Chapter 6 - INMOST platform technologies for numerical model development.