scholarly journals Alternating Direction Implicit (ADI) schemes for a PDE-based image osmosis model

2017 ◽  
Vol 904 ◽  
pp. 012014 ◽  
Author(s):  
L. Calatroni ◽  
C. Estatico ◽  
N. Garibaldi ◽  
S. Parisotto
Keyword(s):  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
Adi Schemes

scholarly journals A NUMERICAL SCHEME FOR SOLVING CREEPING FLOWS

2003 ◽  
Vol 2 (2) ◽  
Author(s):  
H. A. Navarro ◽  
V. G. Ferreira
Keyword(s):  
Numerical Scheme ◽  
Fluid Flows ◽  
Reynolds Numbers ◽  
Creeping Flow ◽  
Low Reynolds Numbers ◽  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
Creeping Flows ◽  
Adi Schemes ◽  
Adi Scheme

This work shows an extension of the generalized Peaceman and Rachford alternating-direction implicit (ADI) scheme for simulating two-dimensional fluid flows at low Reynolds numbers. The conservation equations are solved in stream function - vorticity formulation. We compare the ADI and generalized ADI schemes, and show that the latter is more efficient to simulate a creeping flow. Numerical results demonstrating the applicability of this technique are also presented.

scholarly journals A NUMERICAL SCHEME FOR SOLVING CREEPING FLOWS

2003 ◽  
Vol 2 (2) ◽  
pp. 35
Author(s):  
H. A. Navarro ◽  
V. G. Ferreira
Keyword(s):  
Numerical Scheme ◽  
Fluid Flows ◽  
Reynolds Numbers ◽  
Creeping Flow ◽  
Low Reynolds Numbers ◽  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
Creeping Flows ◽  
Adi Schemes ◽  
Adi Scheme

This work shows an extension of the generalized Peaceman and Rachford alternating-direction implicit (ADI) scheme for simulating two-dimensional fluid flows at low Reynolds numbers. The conservation equations are solved in stream function - vorticity formulation. We compare the ADI and generalized ADI schemes, and show that the latter is more efficient to simulate a creeping flow. Numerical results demonstrating the applicability of this technique are also presented.

Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations

2015 ◽  
Vol 17 (2) ◽  
pp. 487-509 ◽  
Author(s):  
Guang-Hua Gao ◽  
Hai-Wei Sun
Keyword(s):  
Diffusion Equations ◽  
Two Dimensional ◽  
Analysis Method ◽  
Order Accuracy ◽  
Alternating Direction Implicit ◽  
Truncation Errors ◽  
Advection Diffusion ◽  
Alternating Direction ◽  
Implicit Difference Schemes ◽  
Adi Schemes

AbstractThis paper is devoted to the discussion of numerical methods for solving two-dimensional time-fractional advection-diffusion equations. Two different three-point combined compact alternating direction implicit (CC-ADI) schemes are proposed and then, the original schemes for solving the two-dimensional problems are divided into two separate one-dimensional cases. Local truncation errors are analyzed and the unconditional stabilities of the obtained schemes are investigated by Fourier analysis method. Numerical experiments show the effectiveness and the spatial higher-order accuracy of the proposed methods.

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