On the Implementation of the Planar3D Model Using the Explicit Time Integration Scheme and the Statistical Front Tracking Method

2021 ◽  
pp. 293-305
Author(s):  
Egor Starobinskii ◽  
Nikita Mushchak ◽  
Svetlana Kraeva ◽  
Sergei Khlopin ◽  
Egor Shel
Keyword(s):  
Time Integration ◽  
Front Tracking ◽  
Integration Scheme ◽  
Explicit Time Integration ◽  
Tracking Method ◽  
Front Tracking Method ◽  
Time Integration Scheme

An Explicit Time Integration Scheme Based on B-Spline Interpolation and Its Application in Wave Propagation Analysis

2017 ◽  
Vol 09 (08) ◽  
pp. 1750115 ◽  
Author(s):  
W. B. Wen ◽  
S. Y. Duan ◽  
Y. Tao ◽  
Jun Liang ◽  
Daining Fang
Keyword(s):  
Wave Propagation ◽  
Hyperbolic Equations ◽  
Spline Interpolation ◽  
Time Integration ◽  
Numerical Dissipation ◽  
Integration Scheme ◽  
Weighted Residual Method ◽  
Explicit Time Integration ◽  
B Spline ◽  
Time Integration Scheme

An explicit time integration scheme for hyperbolic equations is proposed using B-spline interpolation and weighted residual method. It has simple formulation and calculation procedure. With one adjustable algorithmic parameter, new scheme has higher accuracy when compared with other excellent explicit schemes. New scheme has controllable and also desirable period elongation which is verified by theoretical analysis and numerical simulations. Especially, a demonstrative dispersion analysis coupled with the corresponding wave propagation demonstrate the desirable numerical dissipation property and the effectiveness of the proposed scheme for wave propagation problems.

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