Type of Document	Dissertation
Author	Kadioglu, Samet Yucel
Author's Email Address	skadio@math.fsu.edu
URN	etd-07012005-152645
Title	All Speed Multi-Phase Flow Solvers
Degree	Doctor of Philosophy
Department	Mathematics, Department of
Advisory Committee	Advisor Name Title Mark Sussman Committee Chair Gordon Erlebacher Committee Member John Telotte Committee Member Qi Wang Committee Member Yousuff Hussaini Committee Member
Keywords	All Speed Time Sub-Cycling Adaptive Mesh Refinement Mach-Uniform Multi-Phase Flow Preconditioner
Date of Defense	2005-06-13
Availability	unrestricted
Abstract A new second order primitive preconditioner technique (an all speed method) for solving all speed single/multi-phase flow is presented. With this technique, one can compute both compressible and incompressible flows with Mach-uniform accuracy and efficiency (i.e., accuracy and efficiency of the method are independent of Mach numbers). The new primitive preconditioner (all speed/Mach uniform) technique can handle both strong and weak shocks, providing highly resolved shock solutions together with correct shock speeds. In addition, the new technique performs very well at the zero Mach limit. In the case of multi-phase flow, the new primitive preconditioner technique enables one to accurately treat phase boundaries in which there is a large impedance mismatch. When solving multi-dimensional all speed multi-phase flows, we introduce adaptive solution techniques which exploit the advantages of Mach-uniform methods. We compute a variety of problems from low (low speed) to high Mach number (high speed) flows including multi-phase flow tests, i.e, computing the growth and collapse of adiabatic bubbles for study of underwater explosions
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