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The orthogonal collocation method (OCM) is used to obtain an approximate solution of the water hammer equations which represent one-phase water flow transients in pipeline systems. The OCM provides solutions over the entire spatial domain, therefore it can be used to obtain an accurate model with possible leaks spatially distributed. An estimator can be designed based on the spatially-discretized...
Shocks are a phenomenon in fluid dynamic problems, which require a sophisticated digital simulation. Numerical integration of such problems with wave digital structures can be critical - if not impossible - although those structures are inherently robust. The reason is the trapezoidal rule as underlying integration method. We show how to incorporate Gearpsilas method for partial differential equations...
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