In this paper, we discuss cloth simulation using the splitting technique used in extended isogeometric analysis. We claim that splitting techniques can provide more flexible and diverse expressions than existing ones. We use a custom-designed enrichment function and apply it to three static test problems: Scordelis-Lo roof, pinched cylinder, and pinched hemisphere. We also show that local splitting is applicable to simple multi-patch problems. For these problems, we obtain results closer to the reference solution, despite using less control points. We also use the custom-designed enrichment function to simulate the folding and wrinkling of clothes without changing mesh. In addition, a discontinuous enrichment function can be used to express cutting cloth. We demonstrate it is possible to express clothes movement more accurately and variously by locally adding an enrichment function to existing isogeometric analysis based static and dynamic simulations.