A balanced expansion technique for constructing accurate finite difference advection schemes
β Scribed by Robert K.-C. Chan
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 782 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
A new procedure, called the Balanced Expansion Technique (BET), is employed to construct accurate finite difference advection schemes that, for the model equation considered, are neutrally stable. By applying BET systematically, the phase error can be made as small as one wishes. Test calculations with oneβdimensional problems have confirmed the expected accuracy of these methods.
π SIMILAR VOLUMES
High-order-accurate methods for viscous flow problems have the potential to reduce the computational effort required for a given level of solution accuracy. The state of the art in this area is more advanced for structured mesh methods and finiteelement methods than for unstructured mesh finite-volu
An important class of physical phenomena in acoustics, #uid dynamics, and the transport of contaminants can be modelled by the partial di!erential equation [1}3]
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