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- W51713453 abstract "Publisher Summary This chapter describes the errors in the finite-difference solution of hyperbolic partial differential equations. When a model of a distributed parameter system is to be produced for a simulation, two approaches are possible: (1) treating the system as a series of linked subsystems, that is, lumped parameters, and producing the model equations using the relevant conservation equation for each lump; or (2) producing the relevant partial differential equations to describe the system by use of the conservation equations. Hayashi and Ransford considered the errors involved in replacing distributed head losses in water hammer calculations by fictitious discrete diaphragms at the end of short lengths of pipe, that is, lumping the friction losses. Their analysis showed the errors between the maximum pressure predicted by simple models with that from a model with an infinite number of diaphragms. If the upper frequency limit of interest is known, then the number of finite difference segments to be used for distortionless propagation can be calculated." @default.
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- W51713453 date "1977-01-01" @default.
- W51713453 modified "2023-09-23" @default.
- W51713453 title "Errors in the Finite Difference Solution of Hyperbolic Partial Differential Equations" @default.
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- W51713453 doi "https://doi.org/10.1016/s1474-6670(17)66954-4" @default.
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