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Application of Adjoint Equations to Problems of Dispersion and Control of Pollutants

Application of Adjoint Equations to Problems of Dispersion and Control of Pollutants PDF Author: Yuri Nickolavich Skiba
Publisher:
ISBN: 9781634829977
Category : Adjoint differential equations
Languages : en
Pages : 342

Book Description
In recent decades, it has been recognized that environmental pollution causes serious local and global harmful effects, both to human health and ecosystems, and therefore the protection and restoration of the environment is a matter of great importance. Through the joint efforts of mathematicians, geophysicists and environmentalists, diverse methods for solving varied problems of environmental pollution have been developed. In this text, mathematical methods for analyzing the problems of transport and dispersion of relatively passive pollutants, control of air emissions and remediation of polluted aquatic systems are presented in such form that they are easily understood by undergraduate and graduate students. The application of the adjoint method is emphasized as a way to get dual estimates of average concentrations of different substances. This methodology helps to establish simple variational and linear programming formulations in order to calculate optimal solutions of these problems in the sense that they meet the standards of air quality and cause the minimal variations in the industrial processes or in the environment. This text is primarily intended for scientists, engineers and other professionals working in the field of environmental modeling (transport of air and water pollutants, assessment of pollution levels, optimal control of emission rates from point, line and area sources, the optimal location of a new industrial plant, bioremediation of oil-contaminated aquatic zones, etc.). We hope that this book will be useful for undergraduate and graduate students of engineering sciences and earth sciences as well.

Application of Adjoint Equations to Problems of Dispersion and Control of Pollutants

Application of Adjoint Equations to Problems of Dispersion and Control of Pollutants PDF Author: Yuri Nickolavich Skiba
Publisher:
ISBN: 9781634829977
Category : Adjoint differential equations
Languages : en
Pages : 342

Book Description
In recent decades, it has been recognized that environmental pollution causes serious local and global harmful effects, both to human health and ecosystems, and therefore the protection and restoration of the environment is a matter of great importance. Through the joint efforts of mathematicians, geophysicists and environmentalists, diverse methods for solving varied problems of environmental pollution have been developed. In this text, mathematical methods for analyzing the problems of transport and dispersion of relatively passive pollutants, control of air emissions and remediation of polluted aquatic systems are presented in such form that they are easily understood by undergraduate and graduate students. The application of the adjoint method is emphasized as a way to get dual estimates of average concentrations of different substances. This methodology helps to establish simple variational and linear programming formulations in order to calculate optimal solutions of these problems in the sense that they meet the standards of air quality and cause the minimal variations in the industrial processes or in the environment. This text is primarily intended for scientists, engineers and other professionals working in the field of environmental modeling (transport of air and water pollutants, assessment of pollution levels, optimal control of emission rates from point, line and area sources, the optimal location of a new industrial plant, bioremediation of oil-contaminated aquatic zones, etc.). We hope that this book will be useful for undergraduate and graduate students of engineering sciences and earth sciences as well.

Mathematical Methods for the Assessment and Control of Industrial Emissions

Mathematical Methods for the Assessment and Control of Industrial Emissions PDF Author: Yuri N. Skiba
Publisher: Springer Nature
ISBN: 3031581091
Category :
Languages : en
Pages : 292

Book Description


The Sentinel Method and Its Application to Environmental Pollution Problems

The Sentinel Method and Its Application to Environmental Pollution Problems PDF Author: J.P. Kernevez
Publisher: CRC Press
ISBN: 9780849396304
Category : Mathematics
Languages : en
Pages : 226

Book Description
Many environmental problems contain incomplete data in the initial or boundary conditions. How do we solve problems for which some of the initial and/or boundary conditions are unknown? Using a new technique, the sentinel method, this book answers these questions and others as they pertain to inverse problems in environmental pollution, such as pollution of underground and surface waters, thermal pollution, and air pollution.

Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

Adjoint Equations and Perturbation Algorithms in Nonlinear Problems PDF Author: Guri I. Marchuk
Publisher: CRC Press
ISBN: 1351468790
Category : Mathematics
Languages : en
Pages : 292

Book Description
Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.

Dispersion of Pollutants in the Atmosphere

Dispersion of Pollutants in the Atmosphere PDF Author: Bamdad Hosseini
Publisher:
ISBN:
Category : Air
Languages : en
Pages : 80

Book Description
In this project we propose a numerical algorithm for solving the atmospheric dispersion problem with point sources and deposition at the ground. The problem is modelled by the 3D advection-diffusion equation with delta distribution source terms, as well as variable advection speed and diffusion coefficients. We construct a finite volume scheme using a splitting approach in which the CLAWPACK software package is used as the advection solver and an implicit solver is proposed for the diffusion terms. Next, we apply the algorithm to an actual industrial scenario involving emissions of airborne zinc from a mining smelter using actual wind measurements, and then compare our results to another set of simulations obtained from an algorithm based on a Gaussian plume solver. Finally, we propose a new and efficient framework for solving the inverse source emission problem that utilizes the solution of the adjoint equations.

Air Pollution Modeling and Its Application XVII

Air Pollution Modeling and Its Application XVII PDF Author: Carlos Borrego
Publisher: Springer Science & Business Media
ISBN: 0387282556
Category : Medical
Languages : en
Pages : 750

Book Description
This volume seeks to cover the latest scientific developments in the field of air pollution modelling. It contains papers and posters presented at the Proceedings of the Twenty-Seventh NATO/CCMS International Technical Meeting on Air Pollution Modelling and Its Application, November 2004.

The Sentinel Method and Its Application to Environmental Pollution Problems

The Sentinel Method and Its Application to Environmental Pollution Problems PDF Author: J.P. Kernevez
Publisher: CRC Press
ISBN: 0429612591
Category : Mathematics
Languages : en
Pages : 221

Book Description
Many environmental problems contain incomplete data in the initial or boundary conditions. How do we solve problems for which some of the initial and/or boundary conditions are unknown? Using a new technique, the sentinel method, this book answers these questions and others as they pertain to inverse problems in environmental pollution, such as pollution of underground and surface waters, thermal pollution, and air pollution.

Air Pollution Modeling and Its Application VIII

Air Pollution Modeling and Its Application VIII PDF Author: H. Van Dop
Publisher: Springer Science & Business Media
ISBN: 1461537207
Category : Science
Languages : en
Pages : 759

Book Description
In 1949, when the North Atlantic Treaty was ratified, one of its articles explicitly noted '1hat member countries should contribute towards the further development of peaceful and friendly international relations." Specific problems related to the human environment were addressed by the Committee of Challenges of Modern Society (CCMS) of NATO, established in 1969. This provided a framework within which a series of International Technical Meetings (ITMs) on Air Pollution Modelling has been held. This volume documents the proceedings of the 18th meeting in this series. Science, like the arts and sports, provides an ideal vehicle for "developing peaceful and friendly international relations". National boundaries have never been barriers to the movement of air pollution, and fortunately this has also proved true of scientists studying the transport of air pollution. It is thus satisfying to record that since the mid-seventies it has been commonplace to find Eastern European scientists among attendees at the ITMs which have (in a very modest way) participated in a precursor to the process which has led to historical changes in Europe and which will undoubtedly lead to a tremendous increase in personal and intellectual exchange on a worldwide basis.

Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

Adjoint Equations and Perturbation Algorithms in Nonlinear Problems PDF Author: Guri I. Marchuk
Publisher: CRC Press
ISBN: 1351468804
Category : Mathematics
Languages : en
Pages : 288

Book Description
Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.

Air Pollution Modeling and its Application XXI

Air Pollution Modeling and its Application XXI PDF Author: Douw G. Steyn
Publisher: Springer
ISBN: 9400713592
Category : Science
Languages : en
Pages : 749

Book Description
Recent developments in air pollution modeling and its application are explored here in contributions by researchers at the forefront of their field. The book is focused on local, urban, regional and intercontinental modeling; data assimilation and air quality forecasting; model assessment and evaluation; aerosol transformation; the relationship between air quality and human health and the effects of climate change on air quality. The work will provide useful reference material for students and professors interested in air pollution modeling at the graduate level as well as researchers and professionals involved in developing and utilizing air pollution models.