Parallel performance and accuracy of lattice Boltzmann and traditional finite difference methods for solving the unsteady two-dimensional Burger's equation

Two Dimensional ◽

Burger's Equation ◽

Parallel Performance ◽

Burger’S Equation ◽

Comparisons of Lattice Boltzmann and Finite Difference Methods for a Two-Dimensional Viscous Burgers Equation

SIAM Journal on Scientific Computing ◽

10.1137/0917052 ◽

1996 ◽

Vol 17 (4) ◽

pp. 783-813 ◽

Cited By ~ 11

Author(s):

Bracy H. Elton

Keyword(s):

Finite Difference ◽

Lattice Boltzmann ◽

Burgers Equation ◽

Two Dimensional ◽

Explicit finite difference methods for two-dimensional diffusion with a non-local boundary condition

International Journal of Engineering Science ◽

10.1016/0020-7225(94)90112-0 ◽

1994 ◽

Vol 32 (11) ◽

pp. 1829-1834 ◽

Cited By ~ 12

Author(s):

B.J Noye ◽

M Dehghan ◽

J van der Hoek

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Two Dimensional ◽

Local Boundary ◽

Dimensional Diffusion ◽

Local Boundary Condition ◽

Non Local ◽

Difference Methods ◽

Explicit Finite Difference

Semi-implicit finite difference methods for the two-dimensional shallow water equations

Journal of Computational Physics ◽

10.1016/0021-9991(90)90091-e ◽

1990 ◽

Vol 86 (1) ◽

pp. 56-74 ◽

Cited By ~ 261

Author(s):

Vincenzo Casulli

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Shallow Water Equations ◽

Two Dimensional ◽

Implicit Finite Difference ◽

Finite-Difference Methods for Two-Dimensional Long Waves

Computational Hydraulics ◽

10.1007/978-3-642-95578-5_18 ◽

1989 ◽

pp. 120-136

Author(s):

Cornelis B. Vreugdenhil

Keyword(s):

Finite Difference ◽

Long Waves ◽

Two Dimensional ◽

Error analysis of finite difference methods for two-dimensional advection–dispersion–reaction equation

Advances in Water Resources ◽

10.1016/j.advwatres.2005.02.003 ◽

2005 ◽

Vol 28 (8) ◽

pp. 793-806 ◽

Cited By ~ 20

Author(s):

B. Ataie-Ashtiani ◽

S.A. Hosseini

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Two Dimensional ◽

Reaction Equation ◽

Advection Dispersion ◽

A Comparison of Exact and Finite Difference Methods for Two-Dimensional Potential Problems

IEEE Transactions on Education ◽

10.1109/te.1969.4320467 ◽

1969 ◽

Vol 12 (2) ◽

pp. 124-127

Author(s):

Allen Nussbaum

Keyword(s):

Finite Difference ◽

Two Dimensional ◽

Potential Problems ◽

Finite element or finite difference methods for the two-dimensional shallow water equations?

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(76)90068-2 ◽

1976 ◽

Vol 7 (3) ◽

pp. 351-357 ◽

Cited By ~ 25

Author(s):

T.J. Weare

Keyword(s):

Finite Element ◽

Finite Difference ◽

Shallow Water ◽

Shallow Water Equations ◽

Two Dimensional ◽

43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ◽

A Multifunctional Interface Method for Coupling Finite Element and Finite Difference Methods: Two-Dimensional Scalar-Field Problems

10.2514/6.2002-1573 ◽

2002 ◽

Author(s):

Jonathan Ransom

Keyword(s):

Finite Element ◽

Scalar Field ◽

Finite Difference ◽

Two Dimensional ◽

Finite difference methods for two-dimensional fractional dispersion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2005.05.017 ◽

2006 ◽

Vol 211 (1) ◽

pp. 249-261 ◽

Cited By ~ 273

Author(s):

Mark M. Meerschaert ◽

Hans-Peter Scheffler ◽

Charles Tadjeran

Keyword(s):

Finite Difference ◽

Dispersion Equation ◽

Two Dimensional ◽

The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations

Numerical Algorithms ◽

10.1007/s11075-021-01099-5 ◽

2021 ◽

Author(s):

Dingwen Deng ◽

Qiang Wu

Keyword(s):

Finite Difference ◽

Wave Equations ◽

Two Dimensional ◽

Coupled Wave Equations ◽

Difference Methods ◽

Coupled Wave