A non-dimensional mathematical model of salinity measurement in the chaophraya river using a new fourth order finite difference method with the saulyev technique

Abstract

Salinity in a river is a measure of the content of salts in water. Salinity intrusion problem pose hazards for a river as well as affecting human health and agriculture. There are two methods to measure the salinity in a river. First, the sampling water method by monitoring stations has been using to collect the actual data. Second, a mathematical model is introduced to predict the salinity in a river. In this research, a mathematical model of salinity measurement in a river with releasing fresh water from a diversion dam effect is proposed. There are two finite difference techniques are introduced to approximate the model solution. The traditional forward time centered space techniques are also introduced. A new fourth order finite difference method is employed to accurately approximate the salinity in a river. A part of the Chaopraya river which is closed to the estuary is experimented. The actual problem is focused in this research. The experiment suggested can be used in many practical measurements of the salinity. The proposed method will predict the salinity level in a period on the future. The computational salinity measurement gives precisely results when the actual salinity and numerical salinity are compared. The proposed numerical simulation can be applied to a salinity forecasting.