A “Large-particle” difference method with second order accuracy for computation of two-dimensional unsteady flows

1986 ◽  
pp. 416-421
Author(s):  
Y. F. Li ◽  
E. P. Qian
Keyword(s):  
Difference Method ◽  
Large Particle ◽  
Unsteady Flows ◽  
Second Order ◽  
Two Dimensional ◽  
Order Accuracy

Two-Dimensional Equations of Second Order Accuracy for a Multilayered Plate with Orthotropic Layers

2018 ◽  
Vol 63 (11) ◽  
pp. 471-475 ◽  
Author(s):  
N. F. Morozov ◽  
A. K. Belyaev ◽  
P. E. Tovstik ◽  
T. P. Tovstik
Keyword(s):  
Second Order ◽  
Two Dimensional ◽  
Multilayered Plate ◽  
Order Accuracy

scholarly journals Complex Motions in Planetary Nebulae

1993 ◽  
Vol 155 ◽  
pp. 346-346
Author(s):  
Vincent Icke
Keyword(s):  
Point Source ◽  
Numerical Simulations ◽  
Equatorial Plane ◽  
Planetary Nebulae ◽  
Second Order ◽  
Two Dimensional ◽  
Order Accuracy ◽  
Cylindrically Symmetric

I have made an extensive series of numerical simulations of aspherical PNs. This interacting-winds model consists of a point source of fast tenuous gas embedded in a flattened cloud of dense slow gas which is two-dimensional and cylindrically symmetric. I used a hydrocode specially designed to handle the extremely large gradients between the winds to second order accuracy. The outer shock shapes correspond very well to my analytic predictions. This shock may form cusps which compress the gas to form two rings on opposite sides of the equatorial plane.

A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations

2016 ◽  
Vol 19 (3) ◽  
pp. 733-757 ◽  
Author(s):  
Boling Guo ◽  
Qiang Xu ◽  
Ailing Zhu
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Fractional Derivatives ◽  
Second Order ◽  
Stability And Convergence ◽  
Two Dimensional ◽  
Mixed Fractional Derivatives ◽  
The Fourier Transform ◽  
Nicolson Scheme

AbstractA finite difference method which is second-order accurate in time and in space is proposed for two-dimensional fractional percolation equations. Using the Fourier transform, a general approximation for the mixed fractional derivatives is analyzed. An approach based on the classical Crank-Nicolson scheme combined with the Richardson extrapolation is used to obtain temporally and spatially second-order accurate numerical estimates. Consistency, stability and convergence of the method are established. Numerical experiments illustrating the effectiveness of the theoretical analysis are provided.

Two-Dimensional Equations of the Second Order Accuracy for a Multi-Layered Plate with Orthotropic Layers

2018 ◽  
Vol 483 (1) ◽  
pp. 37-42
Author(s):  
N. Morozov ◽  
◽  
A. Belyaev ◽  
T. Tovstik ◽  
P. Tovstik ◽  
...  
Keyword(s):  
Second Order ◽  
Two Dimensional ◽  
Layered Plate ◽  
Order Accuracy
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