A modified leapfrog scheme for shallow water equations

• Main Authors: Sun, Wen-Yih, Sun, Oliver M. T
• Format: Publication
• Language: English
• Published: 25.01.2011
• Subjects: Courant number; Eigenvalue; Finite-volume; Leapfrog scheme; Semi-implicit; Shallow Water Equations; Stability

In the 1D linearized shallow water equations, the Courant number should be < 0.5 for stability in the original Leapfrog (LF) scheme. Here, we propose using the time-averaged heights in the pressure gradient force in the momentum equations. The stability analysis shows that the new scheme is neutr...