Banca de DEFESA: RICARDO PEREIRA GUEDES

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : RICARDO PEREIRA GUEDES
DATE: 28/08/2023
TIME: 09:00
LOCAL: Pós-Graduação Engenharia Civil
TITLE:

Flow Order Reduction Techniques in Transient Porous Medium applied in Aquifer

KEY WORDS:

Order reduction, Finite Elements, Partitioning, Modal Superposition.

PAGES: 83
BIG AREA: Engenharias
AREA: Engenharia Civil
SUMMARY:

Order reduction is increasingly being used in solving simulations in various areas of engineering and science. The complexity of mathematical models to portray the reality of the world is increasing, whether in engineering, medicine, climate forecasts, etc. Thus, requiring many more variables and complex algorithms. The solution found is to try to reduce the models as a strategy to make processing cheaper and consequently the computational cost, and still to achieve the accuracy of the modeled results. Modeling and simulation are precious tools in engineering, leading to understanding the functioning of many physical processes in the real world and consequently accurately predicting what may happen under adverse operating conditions. Proving that knowledge of larger domains is increasingly needed and order reduction becomes a critical factor, both for engineering and for science in the various areas. The numerical approximation techniques of the models involve many mathematical tools for the interpretation of the physical process, in addition to experience in numerical computation and software development, in addition to knowledge of the physical system being studied. Thus becoming the methodology of reduction of a very broad order and may even be multidisciplinary in some cases. With the great increase in the processing power of computers and the evolution of numerical algorithms in the solutions of linear systems, techniques such as the order reduction, are allowing to solve problems that a few decades ago it was not dreamed of solving. That is, the combined acceleration of processors and the algorithms of current computers are contributing to the solution of many systems today. This work will present two order reduction techniques, which are used for transient porous flow, comparing with conventional techniques to show the effectiveness of the order reduction method in the proposed physical system. In addition to the proposed techniques, studies of changes were incorporated to provide greater reductions in the systems that would guarantee the accuracy of the solution. The methods used were partitioning, using the Guyan static partitioning method, and the modal superposition method. Both methods had to be adapted to the proposed system, with mathematical developments to arrive at the algorithm. And the results obtained contribute to a better understanding of the process.

COMMITTEE MEMBERS:
Externa à Instituição - DEBORA CRISTINA ALMEIDA DE ASSIS - UFAL
Interno - 1800053 - JOSE ANTONIO BARBOSA
Externa ao Programa - 2458868 - LICIA MOUTA DA COSTA - nullExterna à Instituição - NAYARA TÔRRES BELFORT ACIOLI
Presidente - 1764589 - PAULO MARCELO VIEIRA RIBEIRO