EIGENVALUE APPROACH FOR UNSTEADY FRICTION WATER HAMMER MODEL

  • Jung Bong Seog (Department of Civil Engineering, University of Toronto) ;
  • Karney Bryan W. (Department of Civil Engineering, University of Toronto)
  • 발행 : 2004.10.01

초록

This paper introduces an eigenvalue method of transforming the hyperbolic partial differential equations of a particular unsteady friction water hammer model into characteristic form. This method is based on the solution of the corresponding one-dimensional Riemann problem that transforms hyperbolic quasi-linear equations into ordinary differential equations along the characteristic directions, which in this case arises as the eigenvalues of the system. A mathematical justification and generalization of the eigenvalues method is provided and this approach is compared to the traditional characteristic method.

키워드

참고문헌

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