孔隙介質中之溶質傳輸可用一數學模式-平流延散方程式表示之，當使用數值方法對其求解時，於平流項數值延散將會產生。本研究使用MQ無網格法 (MQ-RBFCM)發展平流延散模式，結果與解析解相當吻合，並且對MQ-RBFCM模式中形狀參數，時間步距，時間權重與時間離散方法進行敏感度分析，接著提出移動式佈點方法用來減少數值延散，此方法利用無網格數值方法佈點自由之優點，將較密之點佈於峰值之週圍，並且隨著時間移動，此一方法較均勻佈點節省佈點數並且可以擁有相同精準度。而在效能方面，結果顯示移動式佈點無法在小區域的模擬節省模擬時間，因為移動式佈點必須在每一個時步下重新佈點並且內插下一個時間之值；而在大區域的模擬，移動式佈點可以節省模擬時間，因為在大區域之下，加密佈點將極大的增加矩陣的大小，而導致傳統均勻佈點解算的困難。

Solute transport in porous medium can be described by the mathematical model of advection-dispersion equation (ADE). When using numerical method to solve ADE. Numerical dispersion appears in the numerical results. This study applies meshless mehod ot solve ADE. Multiquardric radio basis function collocation method (MQ-RBFCM) is used to model the advection-dispersion solute transport. The result shows good match with the analytical solution. Sensitivity analysis of parameters in MQ-RBFCM focus on shape parameter, time marching interval, time weighting parameter and time integration schemes. Marching nodal arrangements are proposed to reduce numerical dispersion. The allocation of nodes for meshless method is very flexible. The marching nodal arrangement allocates the dense nodes around the front and moving with time. The total number of nodes can be effectively reduced and keep the same accuracy compared with uniform arrangement. For efficiency, the result shows that the marching nodal arrangement cannot significantly reduce the simulation time in small domain because it needs to relocate the nodes and interpolate the initial value every time step. For large domain, the marching nodal arrangement shows the superiority, classical since reduction in the nodal distance will rapidly increase the nodes number in uniform arrangement to cause the difficult of solving linear algebraic system.

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