An efficient marching algorithm for waterhammer analysis by the method of characteristics
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A new fast and efficient marching algorithm is introduced to solve the basic quasilinear, hyperbolic partial differential equations describing unsteady, flow in conduits by the method of characteristics. The details of the marching method are presented with an illustration of the waterhammer problem in a simple piping system both for friction and frictionless cases. It is shown that for the same accuracy the new marching method requires fewer computational steps, less computer memory and time.
KeywordsDifferential Equation Dynamical System Partial Differential Equation Fluid Dynamics Transport Phenomenon
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