An artificial-viscosity finite-difference scheme is introduced for stabilizing the solutions of advectiondiffusion equations. Although only the linear one-dimensional case is discussed, the method is easily susceptible to generalization. Some theory and comparisons with other well-known schemes are
A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations
β Scribed by Haiwei Sun; Jun Zhang
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 122 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0749-159X
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## Abstract The validity for finiteβdifference electrochemical kinetic simulations, of the extension of the Numerov discretization designed by Chawla and Katti [J Comput Appl Math 1980, 6, 189β196] for the solution of twoβpoint boundary value problems in ordinary differential equations, is examined
a plethora of problems in computational fluid dynamics that have these characteristics. Examples are the numerical We derive high-order finite difference schemes for the compressible Euler (and Navier-Stokes equations) that satisfy a semidiscrete β’ Addition of an artificial viscosity term in refine