Título del libro: Engineering Optimization Iv
Título del capítulo: Existence and uniqueness of the regularized solution in the problem of recovery of the non-steady emission rate of a point source: Application of the adjoint method
ARTURO REYES ROMERO;
Autores externos:
Idioma:
Inglés
Año de publicación:
2014
Palabras clave:
Atmospheric movements; Inverse problems; Particulate emissions; Pollution; Quadratic programming; Variational techniques; Absolute continuous function; Air pollution dispersion; Atmospheric pollutants; Existence and uniqueness; Intensity of emission; Pollutant concentration; Quadratic programming problems; Three-dimensional model; Air pollution
Resumen:
An inverse method to estimate the non-steady emission rate of a point source by using noisy concentration data of atmospheric pollutants is given. The method is formulated as a variational problem, and the existence and uniqueness of its solution is proved by considering absolute continuous functions and applying some results of approximation theory (minimum distance theorems). The target functional to be minimized is the norm of the first derivative of the emission rate, and the constraints on the concentrations of pollutants are the integral relations between the emission rates and the data on the pollutant concentration anomalies. Besides, the solutions of adjoint models serve in these constraints as weight functions of the intensity of emission sources. A three-dimensional model of air pollution dispersion and its adjoint model are considered in a limited region to forecast the concentration of pollutants. It is shown that both models are well posed in the Hadamard sense. The numerical solution of variational problem is found by solving a straightforward quadratic programming problem. An example of using this inverse method is exposed in detail. © 2015 Taylor & Francis Group, London.
Entidades citadas de la UNAM:
ISBN:
9781138027251
Editorial:
Taylor & Francis Group
