Title :
Analogical modeling and numerical simulation variant for distributed parameter processes, with applications in isotope separations, chemistry and thermo-energetics
Author :
Colosi, Tiberiu ; Abrudean, Mihail ; Unguresan, Mihaela-Ligia ; Muresan, Vlad
Author_Institution :
Autom. Dept., Tech. Univ. of Cluj-Napoca, Cluj-Napoca, Romania
Abstract :
This paper has an informal character. It is referring to distributed parameter processes whose analogical modeling and numerical simulation can be complex and laborious. In these cases, the following compromise can present a major interest: - the determination of some approximating solutions, relatively simple, but sufficiently close to the phenomena reality and on this base: - the elaboration of some analogical modeling and numerical simulation methods with a sufficiently unitary and systemized character based on partial differential equations and after case, with ordinary differential equations, too. In this case, it is proposed a) The analogical modeling through the method of the Matrix of Partial Derivatives of the State Vector (Mpdx); b) The numerical simulation through the (Mpdx) method associated with Taylor series and approximating solutions. This method was used with good results, in numerous examples, in isotope separations processes, thermo-energetics, chemistry, metallurgy, etc. [1-11].
Keywords :
distributed parameter systems; matrix algebra; numerical analysis; partial differential equations; Taylor series; analogical modeling; approximating solution; chemistry; distributed parameter process; isotope separations process; matrix of partial derivatives of the state vector; metallurgy; numerical simulation variant; ordinary differential equation; partial differential equation; thermo-energetics; Mathematical model; Numerical models; Numerical simulation; Partial differential equations; Process control; Transducers; Vectors; analogical modeling; matrix of partial derivatives of the state vector (Mpdx); numerical simulation; ordinary differential equations (ODE); partial differential equations (PDE);
Conference_Titel :
Automation, Quality and Testing, Robotics, 2014 IEEE International Conference on
Conference_Location :
Cluj-Napoca
Print_ISBN :
978-1-4799-3731-8
DOI :
10.1109/AQTR.2014.6857928