Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems

1995 ◽  
Vol 32 (5) ◽  
pp. 1355-1389 ◽  
Author(s):  
V. S. Ryaben’kii ◽  
S. V. Tsynkov
Keyword(s):  
Boundary Conditions ◽  
Numerical Solution ◽  
Viscous Flow ◽  
Artificial Boundary ◽  
Artificial Boundary Conditions ◽  
Flow Problems

scholarly journals Global artificial boundary conditions for computation of external flow problems with propulsive jets

1999 ◽  
Author(s):  
Semyon Tsynkov ◽  
Saul Abarbanel ◽  
Jan Nordstrom ◽  
Victor Ryaben'kii ◽  
Veer Vatsa
Keyword(s):  
Boundary Conditions ◽  
External Flow ◽  
Artificial Boundary ◽  
Artificial Boundary Conditions ◽  
Flow Problems

Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space

2017 ◽  
Vol 7 (3) ◽  
pp. 439-454 ◽  
Author(s):  
Hongwei Li ◽  
Xiaonan Wu ◽  
Jiwei Zhang
Keyword(s):  
Diffusion Equation ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Unbounded Domain ◽  
Dimensional Space ◽  
Fourier Series Expansion ◽  
Computational Domain ◽  
Two Dimensional ◽  
Artificial Boundary ◽  
Artificial Boundary Conditions

AbstractThe numerical solution of the time-fractional sub-diffusion equation on an unbounded domain in two-dimensional space is considered, where a circular artificial boundary is introduced to divide the unbounded domain into a bounded computational domain and an unbounded exterior domain. The local artificial boundary conditions for the fractional sub-diffusion equation are designed on the circular artificial boundary by a joint Laplace transform and Fourier series expansion, and some auxiliary variables are introduced to circumvent high-order derivatives in the artificial boundary conditions. The original problem defined on the unbounded domain is thus reduced to an initial boundary value problem on a bounded computational domain. A finite difference and L1 approximation are applied for the space variables and the Caputo time-fractional derivative, respectively. Two numerical examples demonstrate the performance of the proposed method.

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