2020 Volume 76 Issue 2 Pages I_431-I_438
Analytical solutions of the governing equations of shoreline development are well-known and capable of solving many coastal problems regarding either natural morphology change or structure involvement. This study presents a new analytical solution of one-line model for a widely occurred phenomenon where the river mouth is gradually migrated to a new location after a dramatic change caused by overwhelmed disasters. This solution is in conjunction with the Heaviside function to overcome the challenge of time varying conditions. The application of this solution is proved by applying on an existent study site, Da Rang River mouth, Vietnam. The solution reveals the severe erosion triggered due to the graduall migration of the opening after a highly extensive flood. The decay process on the old river mouth position proves the erosion caused by the migration of the opening. The opening kept shifting to the left side of the river mouth until stabilizing after 6 years from the flood event.
