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

Yuri Skiba
Centro de Ciencias de la Atmósfera, Universidad Nacional Autónoma de México Av. Universidad, CU/UNAM, Coyoacán, México

David Parra-Guevara
Centro de Ciencias de la Atmósfera, Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria, CDMX, México

Series: Environmental Research Advances
BISAC: SCI026000



Volume 10

Issue 1

Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick


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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.
(Imprint: Nova)


Chapter 1. Introduction

Chapter 2. Dispersion Models

Chapter 3. Adjoint Method

Chapter 4. Application of Adjoint Method in Assessment and Control of Pollutants

Chapter 5. Control of Emission Rates

Chapter 6. Applications of Variational Calculus and Mathematical Programming to Pollution Control Problems

Chapter 7. Inversion of Data for Estimating the Emission Rates of Point Sources

Chapter 8. Elements of Numerical Methods

Chapter 9. Numerical Schemes for Multidimensional Dispersion Equation



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