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Lagrange-Projection Exactly Well-Balanced Finite Volume Schemes for the Ripa Model

  • Celia Caballero-Cárdenas,
  • Manuel J. Castro Díaz,
  • Tomás Morales de Luna,
  • María Luz Muñoz-Ruiz

摘要

In this work we propose a strategy to numerically solve the Ripa model by applying the Lagrange-projection approach. We design both first and second order finite volume schemes that are exactly well-balanced for this model, preserving the well-known lake at rest steady-states as well as the constant pressure for the flat topography case.