Tank shape designing method for reducing fluid tank sloshing based on using bspline and penalty function

In this paper, a theory based on genetic evolution has been proposed to optimize the tank cross-section. Other tank functions such as controlling the sloshing, enhancing stability and preventing overturning moment have been enhanced. The proposed algorithm is used to increase rollover threshold in oval-shaped tanks based on bspline function. Then the optimization method continues with applying the penalty function. The presented diagram is based on bspline function of order 4 with 10 control points. This function is obtained after developing bspline function of 3rd order with 8 control points. In this algorithm, control points and their bands are modified over 100 samples and the optimization parameter such as population number and mutation rate are analyzed. The optimized mutation rate is proposed approximately 4 to 6 percent with the minimum population number of 40. The comparison of optimized results with the numerical methods confirms that optimized cross-sections enhance roll stability and reduce tank sloshing.