Showing papers on "Volume of fluid method published in 1978"
TL;DR: In this paper, a modification to the well-known Lax-Wendroff integration scheme leads to a substantial reduction in phase speed errors, which is achieved without recourse to expensive or cumbersome computations.
Abstract: It is demonstrated that, for linear advection in one space dimension, a simple modification to the well-known Lax-Wendroff integration scheme leads to a substantial reduction in phase speed errors. The modification is designed in such a way that no additional restriction is placed on the timestep used in an integration. The improved performance is comparable or superior to that of previously proposed advection schemes, yet it is achieved without recourse to expensive or cumbersome computations.
The new scheme is readily extended to two space dimensions and has been used in numerical weather prediction and sea wave modelling in the Meteorological Office. An example is given of an improved numerical forecast of the 500 mb height field which was obtained by applying the new scheme in the operational 10-level numerical weather prediction model.
41 citations
TL;DR: In this paper, 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.
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 one-dimensional problems have confirmed the expected accuracy of these methods. (Author)
3 citations