The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation-Reference-Cited by-同舟云学术

The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation

Published:1984-09 Issue:9 Volume:4 Page:853-897
ISSN:0271-2091
Container-title:International Journal for Numerical Methods in Fluids
language:en
Short-container-title:Int. J. Numer. Meth. Fluids

Author:

Hindmarsh A. C.,Gresho P. M.,Griffiths D. F.

Publisher

Wiley

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference32 articles.

1. Computational Fluid Dynamics, Hermosa Publishers, P. O. Box 8172, Albuquerque, NM, 1972.

2. , and , ‘Simulation of three-dimensional, time-dependent, incompressible flows by a finite element method’, Proc. AIAA 5th Comp. Fl. Dyn. Conf., Palo Alto, Calif., 22-23 June (1981).

3. and , ‘Current progress in solving the time-dependent, incompressible Navier-Stokes equations in three-dimensions by (almost) the FEM’, Proc., Fourth Int. Conf. on Finite Elements in Water Resources, Hannover, Germany, 21-25 June (1982).

4. , and , ‘A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations’, Int. J. Num. Meth. Fluids (in press).

Cited by 141 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. High resolution optimized high-order schemes for discretization of non-linear straight and mixed second derivative terms;Journal of Computational Physics;2024-09

2. Solving a fractional diffusion PDE using some standard and nonstandard finite difference methods with conformable and Caputo operators;Frontiers in Applied Mathematics and Statistics;2024-08-20

3. Three-dimensional structure of the thermal boundary layer in turbulent Rayleigh-Bénard convection: A Lagrangian perspective;Physical Review Fluids;2024-07-08

4. Stability analysis and numerical results for some schemes discretising 2D nonconstant coefficient advection–diffusion equations;Open Physics;2024-01-01

5. Time-Varying Tool-Chip Contact in the Cutting Mechanics of Shear Localization;Journal of Manufacturing Science and Engineering;2023-07-20