Modified Transformation and Integration of 1D Wave Equations

This technical note introduces an alternative method of transforming hyperbolic partial-differential equations into characteristic form. The method is based on transforming the governing equations to a reference frame moving with finite speed u . Thus, the method is analogous to the moving observers used traditionally in graphical water-hammer theory to solve the equations of motion [e.g., Parmakian (1963) and Bergeron (1961)] or to the method …