Numerical Methods of Studying Nozzle Gas Flows

Pirumov, U. G.; Roslyakov, G. S.

doi:10.1007/978-3-642-86790-3_3

Cited by 3 publications

(3 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The advantage of using LabVIEW in the simulation and modelling process is in availability of functions (virtual appliances and gadgets), allowing to solve differential equations in the period of time, similar to real, with a help of Runge-Kutta method (the second order) [3,4]. The system, that performs computer simulations and modelling, sensor data collection and analysis of results, as well as defining the correction coefficient and including it into a mathematical model, has been created during the work progress.…”

Section: Computer Modellingmentioning

confidence: 99%

Computer Simulation and Modelling System of Non-Stationary Heat Exchange Processes

Pilipenko

Petrov

2018

MATEC Web Conf.

View full text Add to dashboard Cite

Abstract. This article suggests the solution to the up-to-date task of improving and increasing the energy efficiency of buildings and quality of functioning of systems, controlling boilers and heating devices, by using computer simulation and modelling of heat exchange processes of the building and operation of the heating systems. The authors present proven (checked) mathematical models, applicable for external protections, rooms, heaters, boilers, insulated and non-insulated piping. The authors offer an automated system of computer simulation and modelling, which not only allows us to solve mathematical models, but also to complement them with information from a real object and improve them by introducing corrective factors and coefficients.

show abstract

Section: Computer Modellingmentioning

confidence: 99%

Computer Simulation and Modelling System of Non-Stationary Heat Exchange Processes

Pilipenko

Petrov

2018

MATEC Web Conf.

View full text Add to dashboard Cite

show abstract

“…As initial approximation the calculated data for the stationary regime were used. To solve the equations of non-stationary hydraulic of cascade and the ICC flows Euler conversion method [4] was used.…”

Section: Advanced Materials Research Vol 1084mentioning

confidence: 99%

Mathematical Model of Non-Stationary Hydraulic Processes Occurring in Gas Centrifuges for Uranium Enrichment

Орлов

Timchenko

Sidorenko

2015

AMR

View full text Add to dashboard Cite

show abstract

“…"Iterative methods do not give strictly exact solution, as it is attained as a limit of a sequence of vectors" (Pirumov U.G.) [7]. "For iterative methods, i.e.…”

Section: Introductionmentioning

confidence: 99%

On the Deepest Fallacy in the History of Mathematics: The Denial of the Postulate about the Approximation Nature of a Simple-Iteration Method and Iterative Derivation of Cramer’s Formulas

Iskhakov¹,

Skovpen²

2019

View full text Add to dashboard Cite

Contrary to the opinion about approximation nature of a simple-iteration method, the exact solution of a system of linear algebraic equations (SLAE) in a finite number of iterations with a stationary matrix is demonstrated. We present a theorem and its proof that confirms the possibility to obtain the finite process and imposes the requirement for the matrix of SLAE. This matrix must be unipotent, i.e. all its eigenvalues to be equal to 1. An example of transformation of SLAE given analytically to the form with a unipotent matrix is presented. It is shown that splitting the unipotent matrix into identity and nilpotent ones results in Cramer's analytical formulas in a finite number of iterations.

show abstract

Numerical Methods of Studying Nozzle Gas Flows

Cited by 3 publications

References 10 publications

Computer Simulation and Modelling System of Non-Stationary Heat Exchange Processes

Computer Simulation and Modelling System of Non-Stationary Heat Exchange Processes

Mathematical Model of Non-Stationary Hydraulic Processes Occurring in Gas Centrifuges for Uranium Enrichment

On the Deepest Fallacy in the History of Mathematics: The Denial of the Postulate about the Approximation Nature of a Simple-Iteration Method and Iterative Derivation of Cramer’s Formulas

Contact Info

Product

Resources

About