“…Lettau and Lettau (1969) also developed a simple geometric pattern consisting of elliptical and parabolic shapes and straight lines to stimulate a standard barchan dune using the height, width, and length of the barchan and calculated the volume of sand dunes. In general, many researchers have used numerical simulations to predict the movement and evolution of barchans dunes and their morphology (Landsberg, 1956;Howard and Morton, 1978;Anton and Vincent, 1986;Wippermann and Gross, 1986;Anthonsen et al, 1996;Sauermann et al, 2000;Hersen, 2004;Mousavi et al, 2010;Durán et al, 2011;Hamdan et al, 2016;Yang et al, 2019). Also, Hesp and Hastings (1998), by examining the relationships between the morphological parameters of barchans, introduced these relationships as factors controlling the three-dimensional shape of barchans.…”