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Computación y Sistemas
versión On-line ISSN 2007-9737versión impresa ISSN 1405-5546
Comp. y Sist. vol.8 no.2 Ciudad de México oct./dic. 2004
Resumen de tesis doctoral
Accurate Flexible Numerical Boundary Conditions for Multidimensional Transport and Diffusion
Precisas Flexibles Condiciones de Frontera Numéricas para el Transporte y Difusión Multidimensional
Graduated: Dr. Denis Filatov
Centre for Computing Research (CIC),
National Polytechnic Institute (IPN),
Av. Juan de Dios Batiz s/n,
C.P. 07738, Mexico, D.F.
Email: denisfilatov@mail.ru
Advisor: Prof. Dr. Mikhail Alexandrov
Centre for Computing Research (CIC),
National Polytechnic Institute (IPN),
Av. Juan de Dios Batiz s/n,
C.P. 07738, Mexico, D.F.
Email: dynerl950@mail.ru
CoAdvisor: Prof. Dr. Sc. Mikhail Yudin
Moscow State Geological Prospecting University (MGRIMGGU),
23 MiklukhoMaklaya st, 117997, Moscow, Russia
Email: judin@msgpa.ru
Graduated on: January 20, 2004
Abstract
A method for numerical solution to the advectiondiffusionreaction equation in unbounded domains is developed. The method is based on the concept of artificial boundary conditions (ABCs), and employs the techniques of time and dimensional splitting of the partial differential equation coupled with domain decomposition of the original infinite space. The essentials of the method is that it is applicable for solving a wide class of mass transportation problems in domain of drastically complex geometries, realisable from the computation standpoint, and provides a highly accurate solution at minimal computational efforts.
Keywords: Artificial (numerical) boundary conditions, advectiondiffusionreaction equation, splitting, domain decomposition.
Resumen
Se desarrolla un método para la solución numérica de la ecuación de adveccióndifusiónreacción en dominios infinitos. El método se basa en el concepto de condiciones de frontera artificiales (CFAs), y utiliza las técnicas de escisión del operador por tiempo y por espacio junto con la de descomposición de dominio para el espacio original infinito. Los esenciales del método son lo que es aplicable para dar solución a una amplia clase de los problemas de transporte de masa en dominios de la geometría demasiado compleja, realizable desde el punto de vista numérico, y además proporciona una alta precisión de la solución con mínimos esfuerzos computacionales.
Palabras clave: Condiciones de frontera artificiales (numéricas), ecuación de adveccióndifusiónreacción, escisión del operador, descomposición de dominio.
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