One-and Two-Dimensional Analysis Of Shallow Water

Shallow water issues apply widely of the engineering fields as water conservancy, building, hazard of flood and hydroenvironment and shipping etc. Limited by the condition of the computer capacity and numerical computing technology, the practical problem of solving great yardstick takes one-dimensional and two-dimensional models as the core.This text utilizes Dora algorithm to set up the shallow water model of one dimension. Resolving original equations into two steps to solve, first step is kinematics problem and second is diffusive question. Id this text, Dora algorithm is analyzed and compared with other classical algorithms through examples. It is proved that the Dora algorithm is feasible on solving in one-dimension shallow water equation, and it is suitable for the situation that the water depth is zero. It is an algorithm that is worth probing further.To solve the two-dimensional shallow water equation, the finite volume method, combining with the finite difference method, is adopted in this text to develop the numerical value model. The numerical model is used the unstructured mesh to meet the complicated flow domain. In order to verify the models, it is analyzed that the long straight open channel invariably flow, a curved way flowing and dam-breaks (fully bursting and partly bursting). It is comparative the cases that the convection item is used one order scheme and the convection item is used two order scheme (following respectively named one order and two order algorithm) in this text. Through the computational analysis and contrasting the computational results with experimental results, the following conclusions are obtained.1) One order algorithm and two order algorithm can fine simulate the long straight open channel steady flows.2) As to the curved way steady flows, one order algorithm and two order algorithm can fine simulate the velocity field. And to the water level, the results simulated by one order algorithm isn't smoother than that of two order algorithm, and the results of one order algorithm are closer to experimental data.3) As to dam-break problems, one order algorithm can well simulate the flows that it is fully burst and partly burst, and two order algorithm is failed to simulate these kinds of flow.