Accessment of MacCormack Scheme in Unsteady Sediment-laden Flow Computation

• Main Author: 溫至剛
• Other Authors: 許少華
• Format: Others
• Language: zh-TW
• Published: 1997
• Online Access: http://ndltd.ncl.edu.tw/handle/38671998790953712156

碩士 === 逢甲大學 === 土木及水利工程研究所 === 85 === 　　MacCormack scheme is accessed in solving de St. Venant equations and one-dimensional advection-dispersion equation for the interior points of solution domain. For boundary points, method of characteristic line is employed. Mass conservation is checked and cases of positive/negative surges with analytical solutions are employed to verify this numerical model. Artificial viscosity is found necessary in smoothing numerical oscillation inherited from this explicit, second order scheme. Cases of interesting phenomena are then tested to show the usefulness of this Scheme. No effort is needed to track the hydraulic discontinuity in the case of sudden change from supercritical to subcritical flow. Constrained by stability condition, the time step of MacCormack scheme is relatively small.