TY  - JOUR
AU  - Ribal, Agustinus 
PY  - 2007
TI  - Numerical Study on the Effect of Linear Friction of Long-Wave Propagation and Breaking with Sloping Bottom
JF  - Journal of Mathematics and Statistics
VL  - 3
IS  - 4
DO  - 10.3844/jmssp.2007.263.267
UR  - https://thescipub.com/abstract/jmssp.2007.263.267
AB  - In this study, we investigate the breaking of long-waves propagating on shallow water with linear friction on the sloping bottom. A complete set of equations is presented and a numerical method is developed to simulate the wave propagation. The method uses an up-wind difference scheme for the nonlinear convective term and the central difference scheme for other derivative terms. Various numerical examples have been conducted to investigate the effect of friction coefficient and drag coefficient on wave propagation and breaking.