NUMERICAL SIMULATION OF FLOWS IN LAKE BIWA BY MEANS OF A THREE-DIMENSIONAL MATHEMATICAL MODEL

Abstract

The objective of this study is to establish a three-dimensional mathematical model to simulatethe lake currents in Lake Biwa. Under the assumption of a hydrostatic pressure distribution, three flow equations and the diffusion equation accounting for the density variation due to watertemperature are transformed into a system of finite difference equations in the three-dimensionalmesh space. The validity of the numerical method is examined by a case study. Further ex-aminations of the computational processes are necessary for the flow cases during the stratificationor destratification periods.The objective of this study is to establish a three-dimensional mathematical model to simulatethe lake currents in Lake Biwa. Under the assumption of a hydrostatic pressure distribution,three flow equations and the diffusion equation accounting for the density variation due to watertemperature are transformed into a system of finite difference equations in the three-dimensionalmesh space. The validity of the numerical method is examined by a case study. Further ex-aminations of the computational processes are necessary for the flow cases during the stratificationor destratification periods