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Title: Towards the numerical simulation of ship-generated waves using a Cartesian cut cell-based free surface solver
Author: Armesto Alvarez, Jose Antonio
ISNI:       0000 0004 2671 858X
Awarding Body: Manchester Metropolitan University
Current Institution: Manchester Metropolitan University
Date of Award: 2008
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The Cartesian Cut Cell method has been applied to different flow configurations by researchers at the Centre of Mathematical Modelling and Flow Analysis. This method has been implementer to define flow domains around obstacles using a Godunov-type high order upwind scheme to solve Shallow Water Equations and Navier-Stokes (Euler) equations in two phase flows. A new idea to study Navier-Stoke (Euler) equations in just one phase flows where the domain is accurate described using the Cartesian Cut Cell Method around the moving free surface is presented. The solution technique involves three stages for every time step: the definition of the domain, the solution of the flow equations and the movement of the free surface. The Cartesian Cut Cell Method only requires to recompute cells affected by the movement of the free surface obtaining providing quickly the new domain. The flow equations are solved using the Artificial Compressibility Method and a Godunov-type high order upwind scheme involving the solution of Riemann problems. The Heigh Function method is applied to study the evolution on time of the free surface. This method involves the solution of the kinematic equations, where a fourth order Runge-Kutta method is employed. Boundary conditions at the free surface are discussed. The technique proposed is very quick and allows the use of big time steps. In comparison with the two phase version, the proposed techniques used one thousand times bigger time steps and require around 25 times less computational effort. On the other hand, the results shows dependency on the artificial compressibility parameter introduced as part of the solution of the flow equations. Extensions to the presented study are proposed including the use of different flow solvers.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available