Top

Mathematical Models and Computer Simulations

Published in:

01-12-2023

A Regular Difference Grid and Characteristics Method

Author: A. M. Lipanov

Published in: Mathematical Models and Computer Simulations | Special Issue 1/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

An explicit characteristics method used to calculate the values of gas-dynamic parameters (GDP) of one-dimensional unsteady flows is considered. An algorithm for solving gas-dynamic equations written along characteristic directions is formulated for use on a regular grid. An example of calculating the problem for a cylindrical pipe is performed. It is shown that with a time integration step of 0.0002 s, the calculation accuracy by the explicit method is close to the results obtained by the implicit method.

previous article Application of the Local Discontinuous Galerkin Method to the Solution of the Quasi-Gas Dynamic System of Equations

next article Numerical Modeling of a Melt Flow by the Czochralski Method in the OpenFOAM Package Using a Quasi-Hydrodynamic Algorithm

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

S. A. Khristianovich, “Caucy problem for nonlinear hyperbolic equations,” Mat. Sb. (N.S.) 2, 871–899 (1937).

S. A. Khristianovich, V. G. Gal’perin, M. D. Millionshchikov, and L. A. Simonov, Applied Gas Dynamics, Ed. by S. A. Khristianovicha (Izd-vo Tsentral’nogo Aerogidrodinamicheskogo Inst., Moscow, 1948).

N. F. Krasnov, Aerodynamics, 2nd ed. (Nauka, Moscow, 1980).

K. V. Vyaznikov, V. F. Tishkin, and A. P. Favorskii, “Construction of monotonic schemes of higher order of approximation for systems of equations of hyperbolic type,” Matematicheskoe Model. 1, 95–120 (1989).MathSciNet

O. M. Belotserkovskii and Yu. M. Davydov, Large-Particle Method in Gas Dynamics (Nauka, Moscow, 1982).

A. M. Lipanov, “Application of the implicit method of characteristics on a regular grid for solving the gas-dynamic problems,” Vestn. Tomsk. Gos. Univ., Ser. Mat. Mekh., No. 72, 80–92 (2021). https://doi.org/10.17223/19988621/72/7

R. E. Sorkin, Inner-Chamber Processes in Solid Fuel Systems (Nauka, Moscow, 1983).

Title: A Regular Difference Grid and Characteristics Method
Author: A. M. Lipanov
Publication date: 01-12-2023
Publisher: Pleiades Publishing
Published in: Mathematical Models and Computer Simulations / Issue Special Issue 1/2023
Print ISSN: 2070-0482
Electronic ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048223070116

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Special Issue 1/2023

Direct Numerical Simulation Method of Turbulence Taking the History of the Process into Account

Generalized Model Representation of the Thermal Shock Theory

On One Class of Exact Solutions of the Navier–Stokes System of Equations for an Incompressible Fluid

Modeling the Elastic-Diffusion Vibrations of a Hinged Timoshenko Plate under the Action of a Distributed Surface Load

Numerical Simulation of Dynamic Processes in the Medium of Fine-Grained Solid Particles

Application of the Godunov Scheme to Solve Three-Dimensional Problems of High-Speed Interactions of Elastoplastic Bodies

Premium Partner