A hybrid immersed boundary-lattice Boltzmann/finite difference method for coupled dynamics of fluid flow, advection, diffusion and adsorption in fractured and porous media

2019 ◽  
Vol 128 ◽  
pp. 70-78 ◽  
Author(s):  
Xu Yu ◽  
Klaus Regenauer-Lieb ◽  
Fang-Bao Tian
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Lattice Boltzmann ◽  
Immersed Boundary ◽  
Coupled Dynamics ◽  
Advection Diffusion

Application of finite difference method in MHD differential type fluid flow in rotating frame

2014 ◽  
Author(s):  
Shafaruniza Mahadi ◽  
Farah Suraya Md Nasrudin ◽  
Faisal Salah ◽  
Zainal Abdul Aziz
Keyword(s):  
Fluid Flow ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Rotating Frame ◽  
Differential Type

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

2019 ◽  
Vol 14 (4) ◽  
Author(s):  
Anup Singh ◽  
S. Das ◽  
S. H. Ong ◽  
H. Jafari
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Diffusion Equation ◽  
Difference Method ◽  
Conservative System ◽  
Computational Time ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Nonlinear Reaction ◽  
Sink Term

In the present article, the advection–diffusion equation (ADE) having a nonlinear type source/sink term with initial and boundary conditions is solved using finite difference method (FDM). The solution of solute concentration is calculated numerically and also presented graphically for conservative and nonconservative cases. The emphasis is given for the stability analysis, which is an important aspect of the proposed mathematical model. The accuracy and efficiency of the proposed method are validated by comparing the results obtained with existing analytical solutions for a conservative system. The novelty of the article is to show the damping nature of the solution profile due to the presence of the nonlinear reaction term for different particular cases in less computational time by using the reliable and efficient finite difference method.

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