scholarly journals A Modification of the Large-Particle Method to a Scheme Having the Second Order of Accuracy in Space and Time for Shockwave Flows in a Gas Suspension

2019 ◽  
Vol 12 (2) ◽  
pp. 112-122
Author(s):  
D.V. Sadin ◽  
Keyword(s):  
Large Particle ◽  
Particle Method ◽  
Second Order ◽  
Gas Suspension ◽  
Order Of Accuracy ◽  
Space And Time

scholarly journals Simulation of a shock wave interaction with a bounded inhomogeneous gas–particle layer using the hybrid large-particle method

2021 ◽  
pp. 1-13
Author(s):  
Д.В. Садин ◽  
И.О. Голиков ◽  
В.А. Давидчук
Keyword(s):  
Shock Wave ◽  
Large Particle ◽  
Order Approximation ◽  
Wave Interaction ◽  
Particle Method ◽  
Relaxation Processes ◽  
Gas Suspension ◽  
Shock Wave Interaction ◽  
Mixture Density ◽  
Particle Layer

Исследуются задачи взаимодействия ударной волны с ограниченным слоем газовзвеси, внутри которого имеется неоднородность квадратного сечения пониженной или повышенной плотности. Для расчетов используется гибридный метод крупных частиц второго порядка аппроксимации по пространству и времени. Правильность численных разрывных решений, в частности скачков пористости, подтверждается сравнением с асимптотически точными профилями плотности смеси. Приведены аналитические зависимости ослабления ударной волны слоем газовзвеси. Изучены ударно-волновые структуры в двумерных областях и влияние на них релаксационных процессов. The problems of shock wave interaction with a bounded layer of gas suspension is studied in the case when a square-section inhomogeneity of reduced or increased density is situated inside this layer. The hybrid large-particle method of the second-order approximation in space and time is used for calculations. The numerical correctness of discontinuous solutions, in particular jumps of porosity, is confirmed by comparison with the asymptotically exact profiles of the mixture density. Analytical dependences of shock wave attenuation by a gas suspension layer are given. Shock-wave structures in two-dimensional regions and the effect of relaxation processes on them are analyzed.

Second Order of Accuracy Difference Schemes for Ultra Parabolic Equations

2011 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Serhat Yilmaz ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
...  
Keyword(s):  
Parabolic Equations ◽  
Second Order ◽  
Difference Schemes ◽  
Order Of Accuracy ◽  
Accuracy Difference

Numerical solution of a source identification problem: Almost coercivity

2019 ◽  
Vol 27 (4) ◽  
pp. 457-468 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Abdullah Said Erdogan ◽  
Ali Ugur Sazaklioglu
Keyword(s):  
Numerical Solution ◽  
Source Identification ◽  
Identification Problem ◽  
Second Order ◽  
Numerical Results ◽  
Difference Schemes ◽  
Stability Estimates ◽  
Order Of Accuracy ◽  
Accuracy Difference ◽  
Coercive Stability

Abstract The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem. Almost coercive stability estimates for these difference schemes are established. Additionally, some numerical results are provided by testing the proposed methods on an example.

APPLICATION OF THE IMPLICIT METHOD OF CHARACTERISTICS ON A REGULAR GRID FOR SOLVING THE GAS-DYNAMIC PROBLEMS

2021 ◽  
pp. 80-92
Author(s):  
A.M. Lipanov ◽  
Keyword(s):  
Solid Propellant ◽  
Method Of Characteristics ◽  
Rocket Engine ◽  
Second Order ◽  
Implicit Method ◽  
Dynamic Parameters ◽  
Time Layer ◽  
Engine Operation ◽  
Order Of Accuracy ◽  
Gas Dynamic

In this work, an implicit method is proposed to numerically solve a system of the onedimensional nonstationary equations of gas dynamics transformed by the method of characteristics. Internal points of the channel for a solid-propellant charge are considered at a preignition period of the solid-propellant rocket engine operation. The use of the implicit method makes it possible to calculate the values of gas-dynamic parameters at nodal points of the regular coordinate grid. Calculations of the gas-dynamic parameters both when integrating over time and along the spatial coordinate are performed with the second order of accuracy. Both subsonic and supersonic flows are studied. It is shown that, when predicting the expected pressure value during the transition from one time layer to another with the second order of accuracy, the twenty-fold efficiency of the implicit method is achieved in comparison with the explicit difference method. The trial calculation is performed.

Investigation of flow past blunt bodies with allowance for radiation by the large-particle method

1983 ◽  
Vol 17 (4) ◽  
pp. 574-579
Author(s):  
O. M. Belotserkovskii ◽  
Yu. M. Davydov ◽  
V. P. Skotnikov ◽  
V. N. Fomin
Keyword(s):  
Large Particle ◽  
Particle Method ◽  
Flow Past ◽  
Blunt Bodies
Sign in / Sign up

Export Citation Format

Share Document