Flow Computation Using Extrapolation Procedures

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Abstract
The extrapolation procedure is a powerful numerical technique by which to raise the accuracy of computational results with little extra computational efforts. The procedure assumes the computational error as a polynomial function of grid interval, ▵t; which permits elimination of one or more terms of lower powers of ▵t through a linear combination of a set of numerical solutions using different sizes of ▵t. Because it is often difficult to express the numerical error in an analytical or explicit form of powers of ▵t, numerical experiments can be used with advantages to test the applicability and the effectiveness of the extrapolation procedure in flow computations. A series of numerical experiments conducted for a Sacramento River reach has demonstrated that the technique is a remarkably powerful and economical tool in attaining a second-order result from simple linear computations.

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