Characteristic-based finite-difference schemes for the simulation of convection-diffusion equation by the finite-difference-based lattice Boltzmann methods

Lattice Boltzmann Methods ◽

Convection Diffusion ◽

Spectral analysis of finite difference schemes for convection diffusion equation

Computers & Fluids ◽

10.1016/j.compfluid.2017.04.009 ◽

2017 ◽

Vol 150 ◽

pp. 95-114 ◽

Cited By ~ 14

Author(s):

V.K. Suman ◽

Tapan K. Sengupta ◽

C. Jyothi Durga Prasad ◽

K. Surya Mohan ◽

Deepanshu Sanwalia

Keyword(s):

Spectral Analysis ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Schemes ◽

Convection Diffusion ◽

Fourier analysis of several finite difference schemes for the one-dimensional unsteady convection-diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.136 ◽

2001 ◽

Vol 36 (4) ◽

pp. 417-439 ◽

Cited By ~ 13

Author(s):

J. M. C. Pereira ◽

J. C. F. Pereira

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Fourier Analysis ◽

Difference Schemes ◽

One Dimensional ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

The One

A family of finite difference schemes for the convection-diffusion equation in two dimensions

Numerical Mathematics and Advanced Applications ◽

10.1007/978-88-470-2089-4_17 ◽

2003 ◽

pp. 179-188

Author(s):

E. Sousa ◽

I. Sobey

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Two Dimensions ◽

Difference Schemes ◽

Convection Diffusion ◽

Finite Difference Schemes for Poisson equation and Convection-Diffusion equation

Finite Element Methods and Navier-Stokes Equations ◽

10.1007/978-94-010-9333-0_2 ◽

1986 ◽

pp. 28-57

Author(s):

C. Cuvelier ◽

A. Segal ◽

A. A. van Steenhoven

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Poisson Equation ◽

Difference Schemes ◽

Convection Diffusion ◽

Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251304009x ◽

2013 ◽

Vol 53 (4) ◽

pp. 431-454 ◽

Cited By ~ 4

Author(s):

G. I. Shishkin

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Schemes ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Finite Difference Schemes for Three-dimensional Time-dependent Convection-Diffusion Equation Using Full Global Discretization

Journal of Computational Physics ◽

10.1006/jcph.1996.5564 ◽

1997 ◽

Vol 130 (1) ◽

pp. 109-122 ◽

Cited By ~ 7

Author(s):

H.Y. Xu ◽

M.D. Matovic ◽

A. Pollard

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Three Dimensional ◽

Difference Schemes ◽

Time Dependent ◽

Convection Diffusion ◽

Multiple-relaxation-time finite-difference lattice Boltzmann model for the nonlinear convection-diffusion equation

Physical Review E ◽

10.1103/physreve.104.035308 ◽

2021 ◽

Vol 104 (3) ◽

Author(s):

Xinmeng Chen ◽

Zhenhua Chai ◽

Jinlong Shang ◽

Baochang Shi

Keyword(s):

Relaxation Time ◽

Finite Difference ◽

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Multiple Relaxation Time ◽

Boltzmann Model

Construction and Analysis of Lattice Boltzmann Methods Applied to a 1D Convection-Diffusion Equation

Acta Applicandae Mathematicae ◽

10.1007/s10440-013-9850-3 ◽

2013 ◽

Vol 131 (1) ◽

pp. 69-140 ◽

Cited By ~ 13

Author(s):

Stéphane Dellacherie

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Methods ◽

Convection Diffusion ◽

Numerical study of lattice Boltzmann methods for a convection–diffusion equation coupled with Navier–Stokes equations

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/44/5/055001 ◽

2011 ◽

Vol 44 (5) ◽

pp. 055001 ◽

Cited By ~ 49

Author(s):

H-B Huang ◽

X-Y Lu ◽

M C Sukop

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann ◽

Stokes Equations ◽

Numerical Study ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Lattice Boltzmann Methods ◽

Convection Diffusion ◽

Non-linear boundary conditions for the convection-diffusion equation in lattice Boltzmann framework

Chemical Engineering Science ◽

10.1016/j.ces.2021.116925 ◽

2021 ◽

pp. 116925

Author(s):

Elham Kashani ◽

Ali Mohebbi ◽

Amir Ehsan Feili Monfared ◽

Amir Raoof

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Lattice Boltzmann ◽

Linear Boundary ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Non Linear