Browsing by Author "Loewenberg, Michael"
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Item An adaptive mesh algorithm for evolving surfaces: Simulations of drop breakup and coalescence(2001-06) Cristini, Vittorio; Blawzdziewicz, Jerzy; Loewenberg, MichaelAn algorithm is presented for the adaptive restructuring of meshes on evolving surfaces. The resolution of the relevant local length scale is maintained everywhere with prescribed accuracy through the minimization of an appropriate mesh energy function by a sequence of local restructuring operations.Item Critical behavior of drops in linear flows: I. Phenomenological theory for drop dynamics near critical stationary states(2001-06) Blawzdziewicz, Jerzy; Cristini, Vittorio; Loewenberg, MichaelThe dynamics of viscous drops in linear creeping flows are investigated near the critical flow strength at which stationary drop shapes cease to exist. It is shown that the near-critical drop behavior is dominated by a single slow mode that evolves on the time scale diverging at the critical point with the exponent 1/2.