A Characteristic-Based Semi-Lagrangian Method for Hyperbolic Systems of Conservation Laws

  title={A Characteristic-Based Semi-Lagrangian Method for Hyperbolic Systems of Conservation Laws},
  author={Houjun Wang and Gour-Tsyh Yeh},
A characteristic-based semi-Lagrangian (CSL) method is developed for hyperbolic systems of conservation laws. In the CSL method, the governing equations are first transformed into a system of equations in characteristic form and then the Lagrangian form of the transformed equations is solved along the characteristic directions. By definition of hyperbolicity, such a transformation always exists. The CSL method is first illustrated by applying it to the one-dimensional (1-D) shallow water… CONTINUE READING
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