Updating meshes on deforming domains

In such applications, when the flow domain boundary undergoes a motion, the most common approach is to conform the fluid mesh to confine the changing flow domain This can be achieved either by deleting the old mesh and regenerating a new mesh or by dynamically deform the mesh.For applications require updating the mesh at every time step, regenerating a new mesh consumes high CPU cost and requires special mesh quality controls which makes it impractical approach [5-7].Linear spring analogy One of the popular methods in this class is the tension spring analogy developed by Batina [8].In this approach, each edge of the mesh is replaced by a tension spring with the spring stiffness is taken as inversely proportional to the edge length.Many researchers have adopted the spring analogy and also used the same assumption for the stiffness [9-11].

The most significant techniques under these two classes are reviewed and the aspects of strength and weaknesses are highlighted.The physical analogy approach describes the fluid mesh deformation according to a physical process that can be modeled using numerical methods.In the interpolation based approaches, an interpolation function is used to transfer prescribed boundary point displacements to the fluid mesh.He proved that by setting the stiffness equal to the inverse of the edge length the nodes are prevented from colliding when they are placed on a line and move along this line.In other words, this stiffness choice prevents the cells from colliding if they are placed on the same axis and moving across this axis.

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