Applying Cellular Automata on the development of Vertical 2D Groundwater Flow and Heat Transport Model

• Main Authors: Wei-Shan Fan, 范為善
• Other Authors: Liang-Cheng Chang
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/47558582600608501969

碩士 === 國立交通大學 === 土木工程系所 === 97 === Abstract Development of a numerical model generally consists of four major steps; conceptual model proposing, mathematical formulation construction, numerical solution derivation and program development. The numerical solution derivation is the focus of this research the derivation usually applies different numerical schemes such as finite different method (FDM) or finite element method (FEM) to discretize the associated governing equations and resulting as matrix equations. A program is then developed to solve the matrix equations solving matrix equations is usually a sequentially based approach and is difficult to be parallelized. Inspired by previous discussion, this research develops a numerical model with groundwater flow and heat transport coupling by applying the concept of Cellular Automata. The relations between cells are defined by using Vonoroi Diagram; instead of solving the conventional partial differential equations that governing the groundwater flow and head transport, this proposed methodology solves a series of fundamental equations. Conservation of water and heat are the fundamental physical laws, several hypothesical cases were simulated to validate the accuracy of the model. In the groundwater flow and heat transport coupling cases, simulation results indeed shows that groundwater flow velocity affected the overall temperature distribution. Comparing the results with that of conventional groundwater flow simulation in a constant temperature condition, the spatial variation of temperature distribution also affects hydraulic head distribution. Beside the simulation validation, the proposed novel simulation model can extend its computational capacity by adding new physical law with minimal code modification.