Using isogeometric method for dam break modeling by Lagrangian approach.

Dam break time history have always been the intrest of many researchers. This phenomena can be modeled by Eulerian or Lagrangian approach which each of them have their benefits and disadvantages. In this paper isogeometric method is utilized for modeling flow in dam break analysis by Lagrangian approach. Mass and momentum conservation laws are governing equations of flow which are solved by pressure correction in Lagrangian approach. Least square method is used for discretization of space. Matrix size is notably smaller in isogeometric method in comparison with other methods (finite elements and meshless methods). Also stiffness matrix is symmetric and positive definitive. NURBS (Non - Uniform Rational B - Spline) functions are used as shape functions. Free surface profile and pressure values of isogeometric method in different times are compared with a meshless method. The results indicate the ability of the proposed method in solution of moving fluid with moving boundaries.